RATIO – PROPORTION

1) If a: b=3:4 and b: c=5:7, find the ratio of a: b: c

1. 20:15:28 2.15:20:28 3.16:20:29 4.15:20:24

(2) Find the third proportional to 16 and 4

(1) 0 2.1 3.2 4.3

(3) Find the mean proportional of 8 and 32

1 16 2.17 3.18 4.19

(4) Find the fourth proportional to 3, 8, 12

(1) 30 3.31 3.32 4.33

(5) What least number is added to each one of 6, 14, 8, 18 to make them in proportional?

1.12 2.3 3.4 4.1

(6) A sum of money is divided so that the sum of the shares A and B, B and C and C and A are respectively Rs12, Rs.14 and Rs.16. What is B’s share?

1)5 2.7 3.9 4.21

(7) Two whole numbers whose sum is 64 cannot be in the ratio

1.3:5 2.9 3.7 4.4

(8) Find the duplicate ratio of 3:4

6:9 9:16 4:9 none

(9) Find the triplicate ratio of 2:5

1.125:8 50:125 8:125 none

(10) The sub-duplicate ratio of 25:36

(1) 5:6 (2) 6:5 (3) 10:3 (4) none

(11) The compounded ratio of (3:4) and (4:5)

1 5:3 3:5 7:3 none

(12) A total amount of Rs.1800 is to be divided among A, B and C in such a way so that half of A’s part, one third of B’s part and one fourth of C’s part, is equal. Then A’s part is

1 Rs.400 Rs.600 Rs.800 Rs.900

(13) The ratio between the annual incomes of A and B is 5:4 and the ratio between their expenditures is 4:3 if at the end of the years, A and B respectively save Rs.400 and Rs.500, then the income of A is

1. Rs.4000 Rs.3200 .Rs.3700 none

(14) One year ago the ratio between Suma’s and Ram’s salary was 3:4, the ratios of their individual salaries between last year’s and this year’s are 4:5 and 2:3 respectively, at present the total of their salary is Rs.4160, the salary of Suma now is:

1)1600 2)2560 3)1040 4)3120

(15) A person distributes his pens among four friends A, B, C, and D in the ratio 1/3:1/4:1/5:1/6, what is the minimum number of pens that the person should have?

1.7 57 47 37

(16) A, B, C together earn Rs.1450 and spend 60%, 65% and 70% of their salaries respectively, if their savings are 14:21:15 the salary of B is.

1 Rs.600 Rs.350 Rs.500 Rs.750

17) Arun and Varun started a business jointly. Arun’s investment was thrice the investment of Varun and the period of his investment was two times the period of investment of Varun. If Varun received Rs: 4000 as profit, then their total profit is?

(1) Rs.16000 (2) Rs.20000 (3) Rs.24000 (4) Rs: 28000

18) A contributes Rs: 15000 and B Rs: 9000 in a business. A is a sleeping partner and B gets 10% of the profit for management and rest of the profit is divided in the proportion of their capitals. If the profit is Rs: 8000, what is the share of B?

(1) Rs.4500 (2) Rs.3750 (3) Rs.3600 (4) none