160 questions · Difficulty 1/3
1.The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9:11. If both of them manage to save Rs. 4000 per month, then find the difference in their income (in Rs.)
2.If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24 , then find the value of (2p + q).
3.At present, A is younger than B by 8 years. If 4 years ago, their ages were in the ratio 1:2, then what is the present age of B (in years)?
4.The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the third number is:
5.Three years ago, the ratio of the age of father to that of his son was 8:3. After 4 years, their ages will be in the ratio 11:5. What is the present age (in years) of the father?
6.A,B and C divide an amount of Rs 10,500 amongst themselves in the ratio 5:7:9, respectively. If each one gets Rs 500 more, then what will be the ratio of the amounts with A,B and C?
7.A sum of Rs 2,310 is divided between A, B and C such that the ratio of the shares of B and C is 3 : 5 and the ratio of the shares of C and A is 4 : 9. What is the difference (in Rs) between the shares of A and C?
8.A sum of 6,300 is divided among A, B, C and D such that the ratio of the combined share of A and D to the combined share of B and C is 11 : 10 and the ratio of the shares of B and D is 8 : 9. If C receives Rs 1,560, then what is the difference (in Rs) between the shares of A and B ?
9.A sum of Rs 7,410 is divided between A, B and C such that the ratio of the share of A to the combined share of B and C is 9:17 and the ratio of the share of C to the combined share of A and B is 5 : 8. What is the ratio of the shares of B and C?
10.The ratio of the ages of A and B is 3:4. Four years ago, the ratio of their ages was 5: 7 . What will be the ratio of the ages of A and B four years from now?
11.The ratio of the number of employees (male and female) in offices A and B is 2 : 3. The ratio of the female employees in A and B is 1 : 2, and the ratio of the female employees in A to the total employees in A is 1:3. What is the ratio of the male employees in A and B?
12.The ratio of the ages of A and B, 8 years ago, was 5 : 7. The ratio of their ages, 8 years from now, will be 9 : 11. If the present age of C is 13 years less than that of B, and the present age of D is 8 years less than that of the age of A, then the sum of the present ages of C and D, in years, is:
13.A sum of Rs 2,485 is divided between A,B and C such that the ratio of the shares of A and B is 8:5 and that of C and A is 4:3. What is the share (in Rs) of B ?
14. A certain sum is divided among A, B, C and D such that the ratio of the shares of A : B = 1 : 3 ; B : C = 2 : 5 ; C : D = 2 : 3. If the difference between the shares of B and D is Rs 6,435, then,the total sum (in Rs) is:
15.The income of A is 2/3 of B's income and the expenditure of A is 3/4 of B's expenditure. If 1/3 of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is
16. A sum of Rs 46,800 is divided among A, B, C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5: 4. A receives Rs 18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x – y) (in Rs)?
17.Eight years ago, the ratio of ages of A and B was 5: 4. The ratio of their present ages is 6:5. What will be the sum (in years) of the ages of A and B after 7 years from now?
18.The ratio of the incomes of A and B in the last year was 4: 3. The ratios of their individual incomes in the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income in the present year is Rs 24.12 lakhs, then the sum of the income (in Rs lakhs) of A in the last year and that of B in the present year is:
19.If a,b and c are positive numbers such that (a2+b2 ):(b2+c2 ):(c2+a2 )=34:61:45, then b-a:c-b:c-a= ( ) .
20.The ratio of the incomes of A and B in 2020 was 5 : 4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2:3, respectively. If the total income of A and B in 2021 was 7,05,600, then what was the income (in Rs) of B in 2021?
21.In an examination, the number of students who passed and the number of students who failed were in the ratio 25: 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22: 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
22.The ratio of two numbers A and B is 5:8. If 5 is added to each of A and B, then the ratio of A and B becomes 2:3. The sum of A and B is:
23.Atul purchased Bread costing Rs 20 and gave a 100 rupee note to the shopkeeper gave the balance gave the balance money in coins of denomination Rs 2, Rs 5 and Rs 10. If these coins are in the ratio 5:4:1, then how many Rs 5 coins did the shopkeeper give?a
24.Ratio of the present age of a mother to that of the daughter is 7 : 1. After 5 years the ratio will become 4: 1. What is the difference (in years) in their present ages?
25.Hridaya opened her piggy bank and found coins of denomination Rs. 1, Rs. 2, Rs.5 and Rs. 10 in the ratio 10 : 5 : 2 : 1. If there are 72 coins in all, then how much money (in Rs.) was there in the piggy bank in the form of coins?
26.A sum of Rs. 31866 is divided between A,B and C such that the ratio of shares of A and B is 9:8 and that of A and C is 4:5. The share (in Rs.) of B is:
27.The ratio of present ages of A and B is 7 : 8. After 6 years from now, the ratio of their ages will be 8 : 9. If C's present age is 10 years morethan the present age of A, then the present age (in years) of C is:
28.A sum of Rs 6342 is divided amongst A, B, C and D in the ratio 3 : 4 : 8 : 6. What is the different between the shares of B and D?
29.The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference in A and B is:
30.The ratio of monthly incomes of A and B is 4 : 5 and that of their monthly expenditure is 3 : 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?
31.The numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 : 12. What would the ratio become when eight is added to each number?
32.Monthly salaries of Anil and Kumud are in the ratio 19:17. If Anil and Kumud get salary hike of Rs. 2000 and Rs. 1000 respectively, then the ratio in their salaries become 8:7. What is the present salary of Kumud after increased (in Rs.)?
33.A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is Rs 5,535, then the total sum (in Rs ) is:
34.When x is subtracted from each of 19,28,55 and 91, the numbers so obtained in this order are in proportion. What is the value of x ?
35.Fourth proportion to 12, 18 and 6 is same as the third proportion to k and 6. What is the value of k?
36.What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?
37.Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
38.Fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
39.If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x + 12) to (4x+15) is
40.When x is subtracted from each of the numbers 54, 49, 22 and 21, the numbers so obtained are in proportion. The ratio of (8x – 25) to (7x – 26) is:
41.If p is the third proportional to 3,9 , then what is the fourth proportional to 6,p,4 ?
42.If A:B=11:7 and B:C=5:19, then what is A:B:C?
43. If a : b = 2 : 3 and c : d = 5a : 3b, then 2c : 5d is equal to:
44.There are three numbers. If the ratio of the first to the second number is 2 : 7 and that of the second to the third number is 5 : 8, then the ratio of the first to the third number is
45.A bag contains coins of denomination Rs 1,Rs 2 and Rs 5 in the ratio of 4:5:8. If the total value of these coins is Rs 432, then what is the number of Rs 2 coins?
46. The ratio of the incomes of A and B is 7: 5. A and B save Rs 4 ,000 and Rs 3 ,500 , respectively. If the expenditure of B is half the expenditure of A, then the total income of A and B (in Rs) will be:
47.If a : b = 3 : 5, b : c = 7 : 8 and c : d = 2 : 3, then 2a : 3d is equal to:
48.If a : b = 5 : 7, b : c = 8 : 15, then find the value of 8c : 5a.
49.Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of the two numbers?
50.In a proportion, the product of the first and fourth terms is 70 and that of the second and third terms is 3.5 y. The value of y is:
51.If two numbers are in the ratio 4 : 7 and the sum of their cubes is 407000, then the greater umber will be:
52.If x : y = 4 : 5, then the value of (8x – 6y) : (9x– 7y) is:
53. Nalini's younger brother is 12 years old. If the ratio f the age of Nalini to that of her brother is 7 : 6,then what will be ratio in their ages 6 years hence?
54.What is the ratio of the mean proportional between 1.2 and 10.8 to the third proportional o 0.2 and 1.2?
55. Two numbers are in the ratio of 7 : 4. If each umber is increased by 12, then the ratio become 3 : 2. The sum of the numbers is:
56.A sum of money is distributed among A,B,C and D in the ratio 5: 7: 11:15, respectively. If C gets Rs 2,480 more than B, then the difference between the shares of B and D is:
57.A sum of Rs 9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 : 3 and that of B and C is 5 : 4. What is the share of C?
58.23. A sum of money is divided among A, B and C in the ratio 2 : 3 : 7, respectively. If the share of B is Rs 15,000, then what will be the difference in the shares of B and C?
59.A's salary increases in the ratio 8 : 11. If his new salary is Rs 33,000, then what was his original salary (in Rs)?
60.Three numbers are in ther atio 1/4:5/9:7/12. The difference between the greatest and the smallest number is 180 . Find the sum of all the three numbers.
61.A sum of Rs x is divided among A,B and C such that the ratio of the shares of A and C is 8:7 and that of B and C is 3:2. If the difference between the shares of A and B is Rs 240 , then what is the value of x ?
62.The daily wages of P, Q and R are in the proportion 5 : 7 : 8. If Q earns Rs 560 per day, then what are the daily wages (in Rs) of R and P, respectively?
63.Two numbers A and B are in the ratio 13 : 17. If A is increased by 15% and B is increased by 30%, then the new ratio of A to B will be:
64.In a bag, white mobile covers and black mobile covers are in the ratio of 4:7. If there are 280 black mobile covers, then how many white mobile covers are there in the bag?
65.A solution contains acid and water in the ratio of 4 : 5. If 20% of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?
66.If 4p = 6q = 9r, the p : q : r is equal to:
67.The present ages of A and B are in the ratio 9 : 10. The ratio of their ages 8 years from now will be 11 : 12. What will be the sum of their ages (in years) after 3 years from now?
68.If 9685 is divided into three parts in such a way that one-fourth of the first part, one-third of the second part one-sixth of the third part are equal, then what is the first part?
69.Three numbers are in the ratio 3/4:5/8:7/12. If the difference between the greatest and the smallest number is 48 , then the value of the greatest number will be:
70.If 7A = 4B = 14C, then what is A : B : C?
71.If the ratio of A : B is 5 : 4 and B : C is 3 : 5 then the ratio of A : B : C is:
72.The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 11 : 13. What is the ratio of their present ages?
73.A sum of Rs. 11,236 is divided among A, B and C such that the ratio of the shares of A and B is 3:5 and the ratio of the shares of A and C is 4 : 7. The share of B is:
74.A sum of Rs. 12,992 is divided among A,B and C such that the ratio of the shares of A and C is 4:15 and that of the shares of A and B is 2 : 5. The difference (in Rs.) between the shares of B and C is:
75.The ratio of boys and girls in a school is 6 : 7. If the total number of students in the school is 3289, then what is the number of girls?
76.If a/b=b/c=c/d, then a/d in terms of b and c is equal to:
77.A sum of Rs 3,900 is divided among P, Q and R such that R receives two-fifths of P’s share and Q receives three times of R’s share. What is Q’s share (in Rs)?
78. The number of students in three sections of Grade 10 in a school are in the proportion 3 : 5 : 8. If 15, 30 and 15 more students are admitted in the three sections, respectively, the new proportion becomes 4 : 7 : 9. The total number of students before the new admissions is:
79.The price of a semi-precious stone weighing 48 g, is Rs 2,30,400. It is broken into two pieces whose weights are in the ratio of 5 : 7. If the price is proportional to the square of the weight, then the loss (in Rs) incurred, is:
80. A sum of Rs x is divided between A, B, C and D such that the ratio of the shares of A and B is 3 : 2, that of B and C is 9 : 8 and that of C and D is 4 : 3. If the difference between the shares of B and D is Rs 708, then what is the value of x?
81.when x is subtracted from each of 24, 33, 20 and 26, the number so obtained in this order are in proportion. What is the mean proportional between (2x + 1) and (5x – 11)?
82.If (a + b): (b + c): (c + a) = 15 : 14 : 11, and a + b + c = 40, then what is the value of (3a + b – 4c)?
83.A sum of Rs 12,384 is divided between A, B, C and D such that the ratio of the shares of A and B is 3 : 4, that of B and C is 5 : 6, and that of C and D is 8 : 9. What is the share of C?
84.If x and y are two numbers having opposite signs, and x7 : y2 = 16:81, then what is the value of 3x + 4y/2x – 3y ?
85.What is the third proportion to 15 and 24?
86.Find the mean proportion of 3 and 27.
87.The fourth proportional to the numbers 5, 6 and 8 is:
88.In Class 8 of a school, the ratio of students playing cricket to those playing football is 27 : 13, while the ratio of those playing football to those playing hockey is 26 : 14. If the total number of students in Class 8 is 470, and each student plays exactly one game, find the percentage of students of the class playing cricket. [Give your answer correct to two decimal places.]
89.The ratio of income of A to that of B is 4:3. The expenditure of A is 5/12 of his income and the expenditure of B is 7/15 of his income, The difference between their expenditures is Rs. 4,500 . Find the income of B.
90.If P : Q = 10 : 11 and Q : R = 11 : 12, then P + Q : Q + R : R + P is:
91.If x : y = 1 : 2, find the value of (2x + 4y ) : (x + 4y).
92.The third proportional to 81 and 27 is:
93.The average age of a man and his son is 56 years. The ratio of their ages is 11: 5. What is the son’s age?
94.The fourth proportional to 5,8 and 30 is:
95.What is the fourth proportional to 16,24,8 ?
96.Find the fourth proportional to 18, 36 and 52.
97.In a bag, black tablet covers and white tablet covers are in the ratio 5 : 9. If there are 450 white tablet covers, how many black tablet covers are there in the bag?
98.The third proportional of 42 and 63 is:
99.Find the third proportion to 16 and 24.
100.Soham’s initial expenditure and savings were in the ratio 5 : 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is Rs. 4,347, what was his initial income?
101.17. If a : b = 2 : 3 and b : c = 6 : 8, then find a : b : c.
102.Find the mean proportional between 144 and 225.
103.The mean proportional between 6 and another number is 30. What is that number?
104.The ratio of the ages of two friends is 7 : 9, while after 10 years it will become 19 : 23. What will be their average age 7 years from now?
105.A and B share a few marbles in the ratio 4:5. If B gets 10 marbles more than A, then what is A’s share?
106.Calculate the 3rd proportional to 14 and 28.
107.Arun alone can finish a work in 12 days and Shama alone can do it in 15 days. How much time will be taken to finish the work, if Arun and Shama work together?
108.Madhuri spends 80% of her salary and Sushma spends 95% of her salary. But the savings of both are equal. Find the income of Sushma, if the sum of their incomes is Rs.10,000.
109.Find the fourth proportional to 7, 13 and 21.
110.Find the ratio in which a grocer should mix two varieties of pulses costing Rs. 75 and Rs. 90 per kg, respectively, so as to get a mixture costing Rs. 80 per kg.
111.The expenses of a family on wheat, vegetables and oil are in the ratio 12:8:5. The prices of these items increased by 50%,25% and 40%, respectively. The total expenses of the family on these items increased by:
112.Find the 4th proportional to 5, 10 and 12.
113.If x is the fourth proportional of 48, 72 and 108, what is the value of x?
114.Find the third proportional to 27 and 18.
115.In a school, students using school bus, bike and bicycle for transport are in the proportion 6 : 3 : 1. If the total strength of the school is 1200, find the number of students who use bicycle for transport. (Each student uses only one of the given 3 modes of transport)
116.Find the 3rd proportional to 9 and 21.
117.In an election four candidates were there in the fray, out of which three were nominated from the three national parties and they got votes in a ratio of 2:3:4. The total votes polled were 1,89,000 and the fourth candidate got 18,000 votes. The votes obtained by the three candidates of the national parties are respectively: (assuming all votes valid)
118.The difference between mean proportion of 9 & 16 and 4 & 9 is:
119.The mean proportional between a number and 20 is 50. What is that number?
120.Which of the following ratios is the smallest? 3 : 4, 1 : 2 , 2 : 5, 1 : 3
121.If 60% of a number is equal to three-fourth of another number, what is the ratio of the first number to the second number?
122.The fourth proportional to 14,21,28 is:
123.If y varies directly with x, and y = 61 when x = 42, find y when x = 54 (consider integral value).
124.The average of two numbers is 96. If 2 is added to the smaller number, the ratio between the numbers becomes 2: 3. The smaller number is __________
125.If a : b = 2 : 5 and b : c = 3 : 4, find the value of a : b : c.
126.If P varies directly as Q, and P = 227 when Q = 232, find P when Q = 116.
127.P, Q and R are batsmen. The ratio of the runs scored by them in a certain match was P :Q = 16 : 17 and Q : R = 15 : 16. At the end of the match, they scored a total of 956 runs. The number of runs scored by R is (nearest to an integer):
128.Find the mean proportional between 0.04 and 0.0036.
129.Calculate the third proportional to 4, 15 and 24.
130.What is the mean proportional between 64 and 4096?
131.A varies jointly with B and C. A = 6 when B = 3 and C = 2. Find A when B = 5 and C = 7.
132.The value of a stone is proportional to the square of its weight. A stone worth Rs. Rs.1,20,000 is broken into two pieces in the ratio of 2 : 3. What is the total price of the two small stones?
133.M is inversely proportional to N. If M is 20, then N is 70. If N = 50, then what is the value of M?
134.If A : B = 5 : 4, B : C = 6 : 5, C : D = 7 : 10, then what is the value of A : D?
135.The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?
136.In a bag there are coins of Rs.5, Rs. 10 and Rs. 20 denominations. The total number of coins in the bag is 240 . If the number of coins of Rs.5, Rs. 10 and Rs. 20 denominations are in the ratio of 2:3:5, then what is the total amount of money in the bag?
137.If P : Q = 4 : 5 and P : R = 2 : 3, then what is 3P : 4Q : 5R?
138.If K² : M : : M : 16, then what is the value of (K² + 2M²) : (K² + M²)?
139.On a tree, there are some parrots and some pigeons in the ratio of 7 : 9, respectively. After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree. The ratio of the parrots and the pigeons on the tree now is 1 : 4. What is the ratio of the parrots and the sparrows that are now on the tree?
140.If A:B=3:4 and B:C=1:5, then what is A:C ?a
141.Ratio of monthly incomes of A and B is 4 : 5 respectively. Ratio of monthly savings of A and B is 14 : 19 respectively. If the monthly expenditure of A and B is Rs.1200 each, then what is the difference between the monthly incomes of A and B?
142.The cost of a diamond is directly proportional to the square of its weight.The cost of a 14 gm diamond is Rs.2560. This diamond got broken down into two pieces in the ratio of 5 : 9. How much loss percent is incurred due to this breakage? (Correct to two decimal places)
143.Salaries of B, C, D and E are in the ratio of 2 : 3 : 4 : 5 respectively. Their salaries are increased by 20 percent, 30 percent, 40 percent and 50 percent respectively. If the increased salary of D is Rs.560, then what is the sum of the original salaries of B , C, D and E?
144.A sum of Rs.1250 has to distributed among A, B, C and D. Total share of B and D is equal to (14/11) of total share of A and C. Share D is half of share of A. Share of C is 1.2 of share of A. What are the shares of A, B, C and D respectively?
145.Find the third proportional of 0.9 and 1.5.
146.What is the value of X , Y if X – 5Y /X + 5Y = 7 / 8 ?
147.What is the fourth proportional of 1/72,1/168,1/150?
148.What is the third proportional of 4 and 28?
149.In a test, Arjun was asked to calculate the mean proportional of 20 and 320. What is the correct answer that Arjun should give?
150.What will be the mean proportion between 25 and 64?
151.If the mean proportional between 5 and 125 is x and the mean proportional between 44 and 62 is y, find the value of 2x : y.
152.Third proportional of 9 and 24 is:
153.What is the third proportional of 6 and 18?
154.What is the fourth proportional of 21,56 and 27 ?
155.Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9:10. What is the sum of their present ages in years?
156.A sum of Rs.8,200 was divided among A, B and C in such a way thatA has Rs.500 more than B, and C has Rs.300 more than A. How much was A’s share (in Rs.)?
157.A sum of Rs.8,200 was divided among A, B and C in such a way that A had Rs.500 more than B and C had Rs.300 more than A. How much was C’s share (in Rs.)?
158.The percentages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:
159.Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years?
160.In a school, 5/12 of the number of students are girls and the rest are boys. 4/7 of the number of boys are below 14 years of age, and 2/5 of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is: