RATIO PROBLEMS WITH SOLUTIONS

Problem 1 :

Find which ratio is greater :

Solution :

Problem 2 :

Rounaq weighs 56.7 kgs. If he reduces his weight in the ratio 7 : 6, find his new weight.

Solution :

Problem 3 :

The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the number of boys to the number of girls may change to 2 : 3.

Solution :

Problem 4 :

The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio 7 : 9. If each saves $50 per month, find their monthly incomes.

Solution :

Problem 5 :

The ratio of the prices of two houses was 16 : 23. Two years later when the price of the first has increased by 10% and that of the second by $477, the ratio of the prices becomes 11 : 20. Find the original prices of the two houses.

Solution :

Problem 6 :

Find in what ratio will the total wages of the workers of a factory be increased or decreased, if there be a reduction in the number of workers in the ratio 15 : 11 and an increment in their wages in the ratio 22 : 25.

Solution :

Problem 7 :

The ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3 and 9 : 7 is

(a) 2 : 7

(b) 7 : 2

(c) 2 : 21

(d) none of these

Solution :

Problem 8 :

The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub-triplicate ratio of 125 : 512 is

(a)  4 : 512

(b)  3 : 32

(c)  1 : 120

(d)  none of these

Solution :

Problem 9 :

If a : b = 3 : 4, the value of (2a + 3b) : (3a + 4b) is

(a) 54 : 25

(b) 8 : 25

(c) 17 : 24

(d) 18 : 25

Solution :

Problem 10 :

Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5. Find the numbers.

Solution :

Problem 11 :

The angles of a triangle are in the ratio 2 : 7 : 11. The angles are

A)  (20°, 70°, 90°)

B)  (30°, 70°, 80°)

C)  (18°, 63°, 99°)

D)  none of these

Solution :

Problem 12 :

Anand earns $80 in 7 hours and Promode $90 in 12 hours. The ratio of their earnings is

A)  32 : 21

B)  23 : 12

C)  8 : 9

D)  none of these

Solution :

Problem 13 :

P, Q and R are three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9 : 8. The ratio between the average temperature of Q and R is

A)  22 : 27

B)  27 : 22

C)  32 : 33

D)  none of these

Solution :

Problem 14 :

If x : y = 3 : 4, the value of x²y + xy² : x³ + y³ is

A)  13 : 12

B)  12 : 13

C)  21 : 31

D)  none of these

Solution :

Problem 15 :

If p : q is the sub-duplicate ratio of p – x² : q – x², then x² is

A)  p/(p + q)

B)  q/(p + q)

C)  pq/(p + q)

D)  None of these

Solution :

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