RATIO AND PROPORTION
1. Divide 1458 into two parts such that one may be to the as 2 : 7.
(a) 320, 1120
(b) 345, 1130
(c) 324, 1134
(d) 400, 1150
2. The ratio of the money with Rita and Sita is 7:15 and that with Sita and Kavita is 7:16. If Rita has Rs. 490, how much money does Kavita have?
(a) 2430
(b)2300
(c) 2350
(d)2400
3. Find the fourth proportion to the numbers 6, 8 and 15.
(a) 15
(b) 17
(c) 20
(d) 18
4. Find the mean proportion between 3 and 75.
(a) 5
(b) 13
(c) 10
(d) 15
5. If A : B = 3 : 4, B : C = 5 : 6 and C : D = 11 : 9, then
A : D is:
(a) 50 : 60
(b) 55 : 72
(c) 60 : 70
(d) 65 : 75
6. A certain amount was divided between X and Y in the ratio 4 : 3. If Y’s share was Rs. 4800, the total amount was.
(a) Rs. 11200
(b) Rs. 64000
(c) Rs. 19200
(d) Rs. 39200
7. The ratio of number of boys and girls in a second of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1?
(a) 90
(b) 120
(c) 220
(d) 240
8. The proportion of zinc & copper in a brass piece is 13 :7. How much zinc will be there in 100kg of such a piece?
(a) 20
(b) 35
(c) 55
(d) 65
9. The number of employees in companies A, B and C are in the ratio 4:5:6 respectively. If the number of employees in the companies is increased by 25%, 30% and 50% respectively, what will be the ratio of employees working in companies A, B and C respectively?
(a) 13:10:18
(b) 10:13:18
(c) 12:13:18
(d) none of these
10. An amount of Rs. 2430 is divided among A, B and C such that if there share be reduced by Rs. 5, Rs. 10 and Rs. 15 respectively, the remainders shall be in the ratio of 3:4:5. Then B’s share was
(a) 605
(b) 790
(c) 800
(d) 810
11. If Rs. 391 is divided into three arts proportional to the fractions 43:32:21. What is the first part?
(a) Rs. 102
(b) Rs. 112
(c) Rs.
(d) Rs. 82
12. If Rs. 1540 be divided amongst A, B, C in such a way that the share of B is equal to 113of what A and C together receive. What is B’s share?
(a) Rs. 300
(b) Rs. 330
(c) Rs. 360
(d) Rs. 390
13. There are 40 members of a student’s council in a school and ratio of the number of boys to the member of girls is 3 : 1. How many more girls be added to the council to make the ratio of boys to girls 3 : 2?
(a) 6
(b) 8
(c) 10
(d) 20
14. 16 L of a mixture contains milk and water in the ratio 5:3. If 4 L of milk is added to this mixture, then the ratio of milk to water in the new mixture would be
(a) 2:
(b) 7:3
(c) 4:3
(d) 8:3
15. A man divides his property so that his son’s share to his wife’s share and the wife’s share to his daughter’s share are both equal to 3:1. If the daughter gets Rs. 10000 less than the son, Find the total worth of the property
(a) Rs. 16200
(b) Rs. 16250
(c) Rs. 16500
(d) None of these
16. Zinc and copper are melted together in the ratio 9:11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
(a) 58 kg
(b) 60kg
(c) 64 kg
(d) 70kg
17. The monthly income of two persons are in the ratio of 4:5 and their monthly expenditures are in the ratio of 7:9. If each saves Rs. 50 a month, then what are their monthly incomes?
(a) Rs. 100, Rs 125
(b) Rs 200, Rs 250
(c) Rs 300, Rs 375
(d) Rs 400, Rs 475
18. In a school ratio of boys to girls was 3:1. During summer break 16 boys left and 6 more girls admitted in the school. The ratio boys to girls now became 2:1. Find the number of girls before a summer break.
(a) 64
(b) 28
(c) 54
(d) 72
19. Incomes of x and y are in the ratio 4 : 3.Their expenditures are in the ratio 12 : 7.Both save 3200/- at the end of the month, then the income of x is ?
(a) 2000
(b) 8000
(c) 6000
(d) 4000
20. The ratio of the number of students studying in schools A, B and C is 6: 8: 7 respectively. If the number of students studying in each of the schools is increased by 20%, 15% and 20% respectively, what will be the new ratio of the number of students in Schools A, B and C?
(a) 18 : 23 : 21
(b) 12 : 18: 1
(c) 18 : 21 : 17
(d) None of these
21. A class has girls and boys in the ratio 4 : 5. Among the girls, the ratio of mathematics to Physics students is 3 : 1. What percentage of the class comprises girls studying Mathematics?
(a) 33.3%
(b) 25%
(c) 20%
(d) 16.6%
22. Three students A, B and C play cricket. The runs scored by A and B respectively are in the ratio 3 : 2. B’s runs to C’s runs are also in the same ratio. Together they score 342 runs. Then the runs scored by B are
(a) 216
(b) 108
(c) 90
(d) 171
23. In a school, there are 3600 students. The ratio of boys to girls is 4 : 5. If twenty percent of the boys and sixty percent of the girls like to play hockey, then how many students do not like to play hockey?
(a) 1520
(b) 1250
(c) 2080
(d) None of these
24. Rs. 2250 is divided among three friends A, B and Cis such a way that 1/6th of A’s share, 1/4thof B’s share and 2/5th of C’s share are equal. Find A’s share.
(a) Rs. 720
(b) Rs. 1080
(c) Rs. 450
(d) Rs. 1240
25. The population of a town is 3,000. The ratio between women and men is 2 : 3. If there are 20% literate among men and 10% literate among women, the total number of illiterate persons in the town is
(a) 2650
(b) 2580
(c) 2550
(d) 2180
26. In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 gm of alloy, then the ratio of copper and zinc will be
(a) 2 : 1
(b) 2 : 3
(c) 3 : 2
(d) 1 : 2
27. Three persons A, B and C whose salaries together amount to Rs.2560, spend 90, 85 and 80 percent in their salaries respectively. If their savings are 5:6:14, find their respective salary?
(a) 800, 640, 1120
(b) 840, 600, 1120
(c) 780, 760, 1020
(d) 800, 760, 1000