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.
If $\frac{y}{x - z} = \frac{x + y}{z} = \frac{x}{y}$ , then $x : y : z =$
A. 1 : 2 : 3B. 3 : 2 : 1C. 2 : 3 : 4D. 4 : 2 : 3
mediumAsked in MAH MCA CET 2023View solution ›
Q2.
The incomes of $A$ , $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$ . If $A$ saves $\frac{1}{4}$ of his income, then the savings of $A$ , $B$ and $C$ are in the ratio of
A. $37 : 72 : 49$ B. $47 : 74 : 99$ C. $69 : 56 : 48$ D. $56 : 99 : 69$
mediumAsked in MAH MCA CET 2025View solution ›
Q3.
Birds on trees $A$ and $B$ say: if $2$ from $B$ move to $A$ , numbers are equal; if $2$ from $A$ move to $B$ , then $B$ becomes double of $A$ . Find numbers on $A, B$ .
A. $8, 12$ B. $10, 14$ C. $14, 10$ D. $5, 7$
mediumAsked in MAH MCA CET 2025View solution ›
Q4.
The incomes of $A$ , $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$ . If $A$ saves $\frac{1}{4}$ of his income, then the savings of $A$ , $B$ and $C$ are in the ratio of
A. $37 : 72 : 49$ B. $47 : 74 : 99$ C. $69 : 56 : 48$ D. $56 : 99 : 69$
mediumAsked in MAH MCA CET 2025View solution ›
Q5.
Mr. X left his entire estate to his wife, his daughter, his son and the cook. His daughter and son got half the estate, sharing in the ratio of 4 to 3. His wife got twice as much as the son. If the cook received a bequest of Rs. 500, then the entire estate was
A. Rs. 3500B. Rs. 5500C. Rs. 6500D. Rs. 7000
mediumAsked in NIMCET 2011View solution ›