COMPACT (RATIO PROPORTION)

1) Two vessel contain milk and water in the ratio 7:5 and 7:9 if both vessel are mixed in the ratio 1:1, find the ratio of milk and water in new mixture ? 49:47

2) Three vessel each of 10 litre capacity contain a mixture of milk and water in the ratio 2:1, 3:1, 3:2. If all the three vessels are emptied in to a large vessel, find the ratio of milk and water in new mixture ?                       121:59

3) 2 vessel A and B contains a mixture of milk and water in the ratio 4:5 and 5:1. If both vessel are mixed in the ratio 5:2. Find the ratio of milk and water in new mixture.                    5:4

4) A 2 kg of metal of which 1/3 is zinc and rest is copper mixed with 3 kg of metal of which 1/4th is zinc and rest is copper. What is the ratio of zinc to Copper in new mixture.             17:43

5) Ratio of land: water on Earth is 1:2 and ratio of land water in Northern hemisphere is 2:3. Find the ratio of land: water in the southern hemisphere.   4:11

6) ₹ 5600 is to be divided among A, B, C, D in such a way that the ratio of share of A: B is 1:2, B:C is 3:1, C:D is 2:3. Find the share of A + B.               ₹3600

6) The ratio of the expenditure of A, B and C 16:12:9 and their total income is ₹1530. Find the share of B's income. If they save 20%, 25% and 40% of their income ?                 ₹480

7) The total income of A, B and C is ₹ 6060. A spend 80%, B spend 85% and C spend 75% and the ratio of their saving is 5:6:9. Find the income of A ?   1500

8) ₹2366 is divided among 8 men, 10 women and 10 children. Each men get 25% more than each women and each woman get 25% more than a child. Find the amount received by each women.   84.5

9) ₹ 500 is divided among A, B, C in such a way that ₹16 more than 2/5 of A's share, ₹ 70 less than 3/4 of B's share , and ₹4 less than 3/5 of C's share are equal. Find B's share.             200

10) A boy and a girl playing with the pencil. The girl break the pencil in two parts and the boy observe that the ratio of the length of these two parts is same as the ratio of length of pencil to the larger part. Find the ratio in which the girl break the pencil.         √5+1:2

11) The ratio of income of A and B is 3:2 and ratio of their expenditure is 4:3. If they save ₹2000 and  ₹900. Find their income.              7200,4800

12) The ratio of total amount distributed in all the male and female as salary is 6:5 while the ratio of salary of each male and each female is 2:3. Find the ratio of number of male and female?       9:5

13) ₹430 is divided among 45 persons such that the ratio of total amount received by all men, all women and all childrens are in the ratio 12:15:16. While the ratio of the amount received by each men, each women and each child is 6:5:4. Calculate the number of men, women and children and also find the amount received by each of them.   12, 10

14) ₹5625 is divided among A,B and C in such a way that A receive 1/2 the sum of B + C . Find the amount received by A+ B . If B received 1/4th of A+ C .        3000

15) The ratio of last year income of A, B, C is 3:4:5. While the ratio of their last year income to current year income 4:5, 2:3 and 3:4. If their total current year income is ₹98500. Find the present income of B+C .          ₹76000

16) 1 year ago the ratio of income of A and B is 3:5. The ratio of their Last year income to current year income is 2:3 and 45. If their total current year income is ₹4300. Find their present income indivisually ?           1800,2500

17) Ratio of income of A,B,C is 3:7:4 and the ratio of their expenditure is 4:3:5. If A saves 100/7% of his income. Find the ratio of their saving.            6:71:11

18) A dog chase a rabbit. The dog takes 6 leaps for every 7 leaps of the rabbit and the distance covered by rabbit in 6 leaps is equal to the distance covered by dog in 5 leaps. Find the ratio of their speed.         36:35

19) The dog takes 7 jumps for every 10 jumps of the Lion And a Fox takes 12 Jumps for every 10 jumps of the lion. And the distance covered by dog in five Jumps , distance covered by lion in 15 jumps and the distance covered by Fox in 20 jumps is equal. Find the ratio of their speeds .            84:40:36

20) The price of gold is directly proportional to square of its weight. A person broke down the gold in the ratio of 3:2:1 and sold, incurrs a loss of ₹4620. Find the initial price of gold.    ₹7560

21) A is inversely proportional to the cube of B. if A=3 then B=2 But if A=8/9 then B=?               3

22) A bag contain 1₹, 50p and 25p coins and the ratio of number of coins is 5:7:9. If the total value of all coins is ₹430. Then find the number of 50p coins.  280

23) A bag contains 1₹, 50p and 25p coins and the ratio of their value is 30 :11 :7. and the total number of coins are 480. Find the number of 50p coins.    132

24) Find the mean proportion of 1/4 and 1/9.                 1/6

25) Find the 3rd proportion 18, 36.   72

26) Find the fourth proportion of 12, 16, 18.   24

27) ₹ 710 is divided among A, B, C in such a way that A receives ₹40 more than B, C receives ₹30 more than A . Find the share of A .               ₹240

28) The ratio of the age of Ram and Shyam 5 years ago was 2:3 and the ratio of their ages after 5 years would be 3:4. Find the sum of their present ages.  60

29) The ratio of the ages of Ram and Shyam 5 years ago was 3:1 and the ratio of their age after 5 years will be 2:1. Find the present age of both.           35,15

30) The age of Ram is 4 times of his daughter. The age of Ram was 9 times of her daughter 5 years ago. Find their present ages.           32, 8

31) The age of father is three times of his son. 5 years before the age of Son was 1/6 time of his father. Find the present age of son. At the time of marriage of his mother, she was 5 years younger to his father. Find the age of mother.           20

32) The ratio of the age of Meena and her mother is 3:8. Find the ratio of their ages after 4 years. If after 10 years their age difference will be 35 years.       5:12

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