Ratio and Proportion

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1. Divide 1680 into two parts such that one may be to the other
as 8 : 7.

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2. Find the three numbers in the ratio of 1 : 2 : 3, so that
the sum of their squares is equal to 504?

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3. A, B, C and D are four quantities of the same kind such that A : B =
3 : 4, B : C = 8 : 9, C : D = 15 : 16.
I. Find the ratio A : D.
II. Find the ratio A : B : C.
III. Find the ratio A : B : C :D.

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4. A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9 and D : E = 12 : 16.
Find A : B : C : D : E

If A : B = B : C = C : D = D : E and A : E = 81 : 256. Find B : D = ?

A. 3/4 B. 9/16 C. 27/64 D. 1/4 E. None of these

If 3A = 4B = 5C. Then find A : B : C = ?

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If 33.33% of A = 14.28% of B = 57.14% of C then find A : B : C = ?

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5. The sum of three numbers is 98. If the ratio between the first and
second be 2 : 3 and that between the second and third be 5 : 8, then
find the second number?

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6. One man adds 3 litres of water to 12 litres of milk and another 4
litres of water to 10 litres of milk. What is the ratio of the strengths
of milk in the two mixtures?

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7. Rs. 425 is divided among 4 men, 5 women and 6 boys such that the
share of a man, a woman and a boy may be in the ratio of 9 : 8 : 4.
What is the share of a woman?

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8. If a carton containing a dozen mirrors is dropped, which of the
fallowing cannot be the ratio of broken mirrors to unbroken mirrors?
A. 1 : 1 B. 7 : 5 C. 3 : 1 D. 3 : 2 E. 2 : 1

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9. If Rs. 25000 is to be divided between A, B and C in the ratio
1/10 : 1/6 : 1/15, then how much will C get ( in Rs )?
A. 7500 B. 5000 C. 10000 D. 12500 E. None of these

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10. When 50% of one number is added to the second number. The
second number is increased to its four - thirds. What is the ratio
between the first and the second number?
A. 2 : 5 B. 2 : 3 C. 3 : 4 D. 3 : 2 E. None of these

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11. The ratio of two numbers is 4 : 5, if both numbers are increased
by 4, the ratio becomes 5 : 6. What is the sum of the two numbers?
A. 9 B. 15 C. 28 D. 36 E. None of these

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12. Two numbers are in the ratio of 9 : 17. When 45 is added in
each number then two ratio becomes 3 : 4. Find the difference
between both initial numbers?
A. 60 B. 26 C. 25 D. 34 E. None of these

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13. Two numbers are in the ratio 1(1/2) : 2(2/3). When each of these is
increased by 15, they become in the ratio 1(2/3) : 2(2/3). The greater of
the number is,
A. 64 B. 48 C. 36 D. 27 E. None of these

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14. Find the fourth proportional to the numbers 6, 8 and 15.

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15. Find the third proportional to 15 and 20.

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16. Find the mean proportional between 3 and 75.

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17. If 15 men can reap a field in 28 days, in how many days will 10 men
reap it?

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18. If 15 books cost Rs. 35, what do 21 books cost?

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19. In a given time, 12 persons make 111 toys. In the same time,
148 toys are to be made. How many persons should be employee?

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20. If 192 mangoes can be bought for Rs. 15, how many can be
bought for Rs. 5?

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21. A fort had provisions for 150 men for 45 days. After 10 days, 25
men left the fort. How long will the food last at the same rate for the
remaining men?

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22. A mixture contains milk and water in the ratio of 8 : 3. On adding
3 litres of water, the ratio of milk to water becomes 2 : 1. Find the
initial quantity of milk and the water?

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The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In
which ratio the no. of oranges in first two baskets must be increased
so that the new ratio becomes 5 : 4 : 3?
a)1:3 b)2:1 c)3:4 d)2:3

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A sum of Rs.312 was divided among 100 boys and girls in such a way
that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
a)35 b)40 c)45 d)50 e) None of these

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The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B
and C together is Rs. 6000. By what percent is the salary of C more
than that of A?
a)100% b)200% c)300% d)400% e) None of these

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 The incomes of two persons A and B are in the ratio 3 : 4. If each
saves Rs.100 per month, the ratio of their expenditures is 1 : 2. Find
their incomes.
a) Rs.100 and Rs.150 b) Rs.150 and Rs.200 c)Rs.200 and Rs.250 d)Rs.250 and Rs.300

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6 men, 8 women and 6 children complete a job for a sum of Rs.950. If
their individual wages are in the ratio 4:3:2, the total money earned
by the children is
a)Rs.90 b)Rs.190 c)Rs.200 d)Rs.290

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The ratio of students in a coaching preparing for B.tech and MBA is
4: 5. The ratio of fees collected from each of B.tech and MBA students
is 25: 16. If the total amount collected from all the students is 1.62
lakh, what is the total amount collected from only MBA aspirants?
a)Rs.62,000 b)Rs.72,000 c)Rs.82,000 d)Rs.92,000

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