# Ratio and proportion questions

Ratio and proportion are essential topics for aptitude tests. They are used to measure the candidate's ability to compare different sizes and quantities. Answering questions on ratios and proportions accurately requires good mathematical skills, analytical thinking, and a good grasp of the basics. Practice the frequently asked questions and answers below to improve your mastery and knowledge of the subject matter. Good Luck!

1. If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then the value of $\frac{A+B+C}{D}$ is:

• A : B = 2 : 3 ---(1)

• B : C = 4 : 5 ---(2)

• C : D = 6 : 7 ---(3)

• Multiply by 8 in equation (1), multiply by 6 in equation (2) and multiply by 5 in equation (3).

A : B : C : D = 16 : 24 : 30 : 35

• Let A = 16, B = 24, C = 30 and D = 35

• Now,

(A + B + C)/D

⇒ (16 + 24 + 30)/35

⇒ 70/35

⇒ 2.

1. The volumes of two cubes are in the ratio of 343:729. Then the ratio of their edges is in the ratio

Given $\frac{volume \ of \ cube \ 1}{volume \ of \ cube \ 2}$ = $\frac{343}{729}$ = $\frac{(a_1)^3}{(a_2)^3}$

Ratio of sides $\frac{a_1}{a_2}$ = $\sqrt[3]{\frac{343}{729}}$ = $\frac{7}{9}$

1. Two shopkeepers sell the same an article at the same price and earn a profit of 25% on each. One shopkeeper calculates his profit on the cost price while the other on the selling price. If the difference in their profits is Rs. 75. Find the ratio of their cost prices:

• Let two shopkeepers sell the article for Rs. y
• Cost price of first shopkeeper who calculates the profit on cost
• Therefore Cost Price = y/125 = 4/5y
• Profit = y -4/5y = 1/5y
• And, cost price of second shopkeepers who calculate the profit on selling price

0.75y = 3/4 y

Profit = y -3/4 y = 1/4 y

• According to given condition

1/4y + 1/5y = 75

y = 75 X 20 = Rs. 1500

SP of article = Rs. 1500

CP of First shopkeeper = 4/5 X 1500 = 1200

CP of second shopkeeper = 3/4 X 1500 = 1125

Ratio = 1200/1125 = 48/45 = 16/15 or 16 : 15.

1. The ratio of bus fare to train fare from Kolkata to a certain place is 3 : 4. If the train fare is increased by 20% and bus fare is decreased by 10%, then the new ratio of bus fare to train fare will be :

• Bus fares: Train fares = 3: 4
• New Bus fare = 0.9 X 3 = 2.7
• New Train fare = 1.2 X 4 = 4.8

= 2.7:4.8

=9:16

1. 300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : 3. Find the number of coins of each type:

• Number of rupee coins = $\frac{5}{15} \times 300$ = 100
• Number of 50 P coins = $\frac{4}{15} \times 300$ = 80
• Number of 25 P coins = $\frac{6}{15} \times 300$ = 120.