Ratio & Proportion Questions with Solutions

12 questions7 easy5 medium

A ratio compares two quantities of the same kind, and a proportion states that two ratios are equal. This topic covers simplifying and combining ratios, dividing an amount in a given ratio, mean, third and fourth proportionals, and word problems on ages, incomes and expenditures, coins, and mixtures. The ratio method is one of the most useful tools in aptitude. Once quantities are written as multiples of a common factor (such as 3x and 5x), many lengthy problems reduce to a single equation. Ratio thinking also speeds up questions on partnership, time and work, speed and distance, and mixtures and alligation. Practise the ratio and proportion questions below. Each comes with a clear step-by-step solution showing how to set up the ratio and solve it quickly.

All Questions Easy Medium Hard

Q1.
The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:
A. 20B. 30C. 48D. 58
easyAsked in NIMCET 2026View solution ›
Q2.
If 20 books cost Rs.100, how much do 8 books cost?
A. Rs. 32B. Rs. 40C. Rs. 48D. Rs. 50
easyAsked in MAH MCA CET 2024View solution ›
Q3.
A sum of money is distributed among four persons P, Q, R and S in the proportion 2 : 5 : 4 : 3. If Q gets Rs. 2000 more than S, what is the total amount?
A. Rs. 15000B. Rs. 18000C. Rs. 14000D. Rs. 16000
easyAsked in NIMCET 2023View solution ›
Q4.
If 3/4 of a number is equal to 2/3 of another number, what is the ratio between these two numbers?
A. 3 : 4B. 5 : 6C. 8 : 9D. 9 : 10
easyAsked in NIMCET 2010View solution ›
Q5.
An elevator has a capacity of 12 adults or 20 children. How many adults can board the elevator with 15 children?
A. 4B. 5C. 3D. 6
easyAsked in NIMCET 2010View solution ›
Q6.
A car is filled with $4 \frac{1}{2}$ litres of fuel for a round trip. If the amount of fuel taken while going is $\frac{1}{4}$ th more than the amount taken for coming, what is the amount of fuel consumed while coming back?
A. $1.5$ B. $2$ C. $1.75$ D. None of these
easyAsked in NIMCET 2008View solution ›
Q7.
The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. The total number of students before the increase were
A. 10B. 90C. 100D. None of these
easyAsked in NIMCET 2014View solution ›