74 questions · Difficulty 1/3
1.A and B earn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are Rs.5,000, the monthly income of B is
2.The ratio of the sum of two numbers and their difference is 5 : 1 the ratio of the greater number of the smaller number is
3.An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was Rs.18,900, find the ratio in which the wage bill is decreased.
4.The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increment is
5.There is a ratio of 5 : 4 between two numbers. If 40 percent of the first is 12, then 50% of the second number is
6.Annual incomes of Amit and Veeri are in the ratio 3 : 2, while the ratio of their expenditures is 5 : 3. If at the end of the year each saves Rs.1,000, the annual income of Amit is
7.P varies inversely with the product of Q and R. When Q = 6 and R = 12 then P = 75, when Q = 5, R = 10, then P is
8.Rs.864 is divided among A, B and C such that 8 times A’s share is equal to 12 times B’s share and also equal to 6 times C’s share. How much did B get?
9.In a class there are ‘z’ students. Out of them ‘x’ are boys. What part of the class is composed of girls?
10.The third proportional of 12 and 18 is
11.. Ram got twice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths are 180. If the ratio of his marks in English and Maths is 2 : 3, what are his marks in Science?
12.Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
13.If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively.
14.Rs.900 is divided among A, B, C; the division is such that ?/ ? of A’s money = ??? ? of B’s money = ??? ? of C’s money. Find the amount (in Rs.) received by A, B, C.
15.If Rs.126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by
16.If 4x + 5y = 83 and 3x : 2y = 21 : 22, then (y – x) equals
17.A man divides his property so that his son’s share to his wife’s and wife’s share to his daughter’s are both as in the ratio 3 : 1. If the daughter gets Rs.10,000 less than son, the value (in rupees) of the whole property is
18.The sum of two numbers is equal to 25 and their difference is 20. The ratio of the two numbers is
19.A and B have their monthly incomes in the ratio 8 : 5 while their monthly expenditures are in the ratio 5 : 3. If they have saves Rs.12,000 and Rs.10,000 monthly respectively, then the difference in their monthly incomes is
20.In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
21.If A : B = 2 : 3 and B : C = 3 : 7, then A + B : B + C : C + A is
22.If (x3 – y 3 ) : (x2 + xy + y2 ) = 5 : 1 and (x2 – y 2 ) : (x – y ) = 7 : 1
23.The ratio of the amount of work done by (x – 1) labours in (x + 1) class and (x + 1) labours in (x + 2) days is 5 : 6. Then the value of x is
24.The ratio of number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is
25.If the three numbers in the ratio 3 : 2 : 5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
26.. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is
27.In a colored picture of blue and Yellow color, blue and Yellow color is used in the ratio of 4 : 3 respectively. If in upper half, half blue : Yellow is 2 : 3, then in the lower half blue : Yellow is
28.A sum of Rs.15525 is divided among Sunil, Anil and Jamil such that if Rs.22, Rs.35 and Rs.48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs.16, Rs.77, Rs.37 respectively were added to their original shares?
29.A’s income is Rs.140 more than B’s income and C’s income is Rs.80 more than D’s. If the ratio of A’s and C’s income is 2 : 3 and the ratio of B’s and D’s income is 1 : 2, then the incomes of A, B, C and D are respectively
30.A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs.49,000. What is B’s share (in Rs.) of this profit?
31.The entry ticket at a fun park was increased in the ratio 7 : 9, due to which footfalls fell in the ratio 13:11. What is the new daily collection (in Rs.), if the daily collection before the price hike was Rs.2,27,500?
32.If 6A = 4B = 9C; What is A : B : C?
33.If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1.
34.What is the fourth proportional to 189, 273 and 153?
35.Rs.11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much does Z get over X (in Rs.)
36.Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war.
37.Priya’s marks in History and Geography are in the ratio 5 : 7. If she got 14 marks more in Geography than in History, what are her History marks?
38.The ratio of present ages of Rahul and his sister is 3 : 4. Before 10 years the ratio of their ages was 13 : 19. What is Rahul’s present age (in years)?
39.What is the third proportional to 9 and 15?
40.According to the will, the wealth of 11,50,000 was to be divided between the son and the daughter in the ratio 2/3 : 5/4. How much share did the son get (in Rs lakhs)?
41.If Rs.7,800 is to be divided between A, B and C in the ratio1/2 : 1/3 : 1/4, then how much share will B get (in Rs.)?
42.Bunty had candies and chewing gums in his sweet box in the ratio 7 : 13. After he has eaten 8 candies and 11 chewing gums the ratio became 1 : 2. How many candies does he have now?
43.The price of a movie ticket was increased in the ratio 9 : 10. What is the increase in the revenue (in Rs.) of the cinema hall, if the original fare was Rs.180 and 2200 tickets were sold.
44.If 2A = 3B = 8C, What is A : B : C?
45.What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less has applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?
46.Rs.10,200 has to be divided between A, B & C so that A gets 2/3 of what B gets and B gets ¼ of what C gets. How much more does C get over A (in Rs)?
47.Before a battle there were the ratio of captains to soldiers was 2 : 7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3 : 10. What is the number of soldiers after the war?
48.If 6A = 4B = 9C; What is A : B : C?
49.If 3A = 6B = 9C; What is A : B : C
50.How many job applicants had applied if the ratio of selected to unselected was 19 : 17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1 : 1.
51.The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11 : 1. If A’s salary is the highest and C’s lowest then what is B’s salary (in Rs) given total of all their salaries is Rs.1,82,000?
52.If by increasing the price of a ticket in the ratio 8 : 11 the number of tickets sold fall in the ratio 23 : 21 then what is the increase (in Rs) in revenue if revenue before increase in price of ticket was Rs.36,800?
53.The ratio of ages of the father and mother was 11 : 10 when their son was born. The ratio of ages of the father and mother will be 19 : 18 when the son will be twice his present age. What is the ratio of present ages of father and mother?
54.Sanjay’s test marks in two subjects, English and Hindi are in the ratio 7 : 11. If he got 20 marks more in Hindi than in English, what are his marks in English?
55.The ratio of present ages of Simi and Seema is 5 : 4. After 9 years the ratio of their ages will be 8 : 7. What is Simi’s present age (in years)?
56.Find the third proportional to 6 and 12?
57.According to the will the wealth of Rs.21,25,000 was to be divided between the son and the daughter in the ratio 7/6 : 5/3. How much did the son get (in Rs.)?
58.If Rs.25,000 is to be divided between A, B and C in the ratio 1/10 : 1/61 : 1/15, then how much will C get (in Rs.)?
59.Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now?
60.Find two numbers such that their mean proportional is 18 and the third proportional to them is 144.
61.A purse has Rs.34.5 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 6 : 9 : 10. Find the number of 10-paise coins.
62.What number should be added to each of the number 103, 135, 110 and 144 so that the resulting numbers are in proportion?
63.When ticket prices to a water park are increased in the ratio 11:12 then the number of daily visitors to the park fall in the ratio 8 : 7. If the daily revenues before the increase in ticket price was Rs.176,000, then find the daily revenues after increase in ticket price.
64.The ratio of the income of A to that of B is 5 : 7. A and B save Rs.4,000 and Rs.5,000 respectively. If the expenditure of A is equal to 66? ? % of the expenditure of B, then the total income of A and B is :
65.In a school, ?/ ? of the number of students are girls and the rest are boys. ? /? of the number of boys are below 12 years of age and ? /?? of the number of girls are 12 years or above 12 yeas of age. If the number of students below 12 years of age is 480, then ? /?? of the total number of students in the school will be equal to:
66.When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x + 7) and (x – 2)?
67.On year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?
68.Two-third of the number of employees of a company are males and the rest are females. If ? ? of the male employees and ? ? of the female employee are temporary employees and the total number of permanent employees is 740, the ? ?? of the total number of the employees exceeds the number of temporary female employees by:
69.What is the ratio of the third proportional to 0.4 and 0.8, to the mean proportional between 13.5 and 0.24?
70.The ratio of the incomes of A and B last year was 4:3, respectively. The ratios of their individual incomes of the last year and the present year are 3:4 and 5:6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was:
71.5 years ago, the ratio of the age of A to that of B was 4:5. Five years hence, the ratio of the age of A to that of B will be 6:7. If at present, C is 10 years younger than B, then what will be the ratio of the present age of A to that of C?
72.A sum of ₹x is divided among A, B and C such that the ratio of the shares of A and B is 6:7 and that of B and C is 3:2. If the difference the shares of A and C is ₹540, then the value of x is :
73.A, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C’s share out of the total profit is Rs4863, then the share of A in the profit is :
74.A sum is divided among A, B, C and D such that the ratio of the shares of A and B is 2:3, that of B and C is 1:2 and that of C and D is 3:4. If the difference between the shares of A and D is Rs 648, then the sum of their shares is :