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Practice Problems [Quiz] – Ratio and Proportion

Q.1:

The ratio of the present ages of Priya and her mother is 3: 7. The mother’s age at the time of Priya’s birth was 48 years. Find the mother’s present age.

A) 84 yrs B) 42 yrs
C) 36 yrs D) None of these
Answer & Explanation
Q.2:

The perimeter of a rectangle is 64 cm. If the ratio of the lengths of two adjacent sides is 7: 9, find the lengths of these sides.

A) 24 cm, 28 cm B) 14 cm, 18 cm
C) 7 cm, 9 cm D) None of these
Answer & Explanation
Q.3:

The ratio of the length and the breadth of a rectangle is 3 : 5 and its area is 1.35 cm2. Find the length of the rectangle.

A) 9 cm B) 0.9 cm
C) 0.09 cm D) 90 cm
Answer & Explanation
Q.4:

The ratio of the present ages of John and Jim is 5 : 3. Four years hence it will be 3 : 2. Find the present age of John.

A) 15 yrs B) 5 yrs
C) 10 yrs D) 20yrs
Answer & Explanation
Q.5:

There are 145 students in the first three standards. The ratio of number of students in the first and the second standards is 2 : 3, while that of students in standards second and third is 4: 3. Find the number of students in 2nd standard.

A) 40 yrs B) 60 yrs
C) 45 yrs D) 65yrs
Answer & Explanation
Q.6:

Which number when added to each of the numbers 24, 32 and 42 would make the sums to be in continued proportion?

A) 4 B) 5
C) 6 D) 8
Answer & Explanation
Q.7:

If 46 – x is the geometric mean between 56 – x and 38 – x, find the value of x.

A) 4 B) 5
C) 6 D) 8
Answer & Explanation
Q.8:

If 6m – n = 4m + 13n, find the value of 2m + n : 2m – 3n.

A) 14:11 B) 15:14
C) 15:11 D) None of these
Answer & Explanation
Q.9:

The ratio of the measures ∠A and ∠B of a triangle ABC is 3 : 2. The ratio of the measures of ∠B and ∠C is 4 : 5. Find the measure of largest angle of the triangle ABC.

A) 72° B) 78°
C) 48° D) 60°
Answer & Explanation
Q.10:

A piece of string 70 cm in length was cut into pieces, the ratio of whose lengths was 3: 7. Find the length of longest piece.

A) 21 cm B) 70 cm
C) 49 cm D) 7 cm
Answer & Explanation
Q.1:

A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

A) 360, 160, 200 B) 160, 360, 200
C) 200, 360,160 D) 200,160,300
Answer & Explanation
Q.2:

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A) 2:5 B) 3:5
C) 4:5 D) 5:4
Answer & Explanation
Q.3:

Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?

A) 38000 B) 46800
C) 36700 D) 50000
Answer & Explanation
Q.4:

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
Answer & Explanation
Q.5:

If Rs. 782 be divided into three parts, proportional to ½ : ⅔ : ¾ then the first part is?

A) Rs. 182 B) Rs. 190
C) Rs. 192 D) Rs. 204
Answer & Explanation
Q.6:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12 B) 1.16
C) 1.20 D) 1.30
Answer & Explanation
Q.7:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2 B) 2:1
C) 11:24 D) 36:121
Answer & Explanation
Q.8:

A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

A) 10 B) 12
C) 15 D) 18
Answer & Explanation
Q.9:

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) 600%
Answer & Explanation
Q.10:

A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :

A) 84 B) 140
C) 196 D) 240
Answer & Explanation
Q.1:

When a sum of money was equally distributed among 49 children, each child received Rs. 20. If the same amount is equally distributed among children, such that each child gets Rs. 3.5, find the number of children.

A) 280 B) 246
C) 245 D) 240
Answer & Explanation
Q.2:

The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.

A) Rs. 762 B) Rs. 760
C) Rs. 764 D) Rs. 768
Answer & Explanation
Q.3:

The ratio of two numbers is 9 : 5. If 9 is added to the greater number and 5 is subtracted from the smaller number, the greater number becomes thrice the smaller one. Find the numbers.

A) 72, 40 B) 18, 10
C)36, 20 D) None of these
Answer & Explanation
Q.4:

Find the ratio of the diagonal of a square of side 30 cm, to its side.

A) √2: 3 B) √3: 4
C) 1 : √2 D) √2: 1
Answer & Explanation
Q.5:

The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?

A) Rs.250 B) Rs.200
C) Rs.150 D) Rs.100
Answer & Explanation
Q.6:

The ratio of A’s salary to B’s was 4 : 5. A’s salary is increased by 10% and B’s by 20%, what is the ratio of their salaries now?

A) 14:11 B) 15:14
C) 11:15 D) None of these
Answer & Explanation
Q.7:

200 g of 25% sulphuric acid solution was added to 300 g of 40% sulphuric acid solution. Find the concentration of the acid in the mixture.

A) 14% B) 24%
C) 44% D) 34%
Answer & Explanation
Q.8:

In one alloy there is 60% gold in its total mass, while in another alloy it is 35%. 12 kg of the first alloy was melted together with 8 kg of the second one to form a third alloy. Find the percentage of gold in the new alloy.

A) 50% B) 49%
C) 45% D) 48%
Answer & Explanation
Q.9:

Divide Rs. 390 among 3 persons A, B and C such that 3 times A’s share, 2 times B’s share and 4 times C’s share are all equal. The shares of A, B and C are respectively

A) Rs. 120, Rs. 180, Rs. 90 B) Rs. 60, Rs. 90, Rs. 45
C) Rs. 240, Rs. 157, Rs. 90 D) None of these
Answer & Explanation
Q.10:

300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.

A) 100, 80, 120 B) 80, 90, 100
C) 100, 100, 80 D) 60, 80, 100
Answer & Explanation

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