SSC MTS 2020 · PYQ · Ratio and Proportion · medium
The ratio of the income of A and B is 1:2 and that of their expenditure is 2:3. If 80% of B's expenditure is equal to the income of A, then what is the ratio of the savings of A and B?
A.7:3
B.9:2
C.3:7
D.2:9✓ Correct
Explanation
Let income of A = x, B = 2x. Let expenditure of A = 2y, B = 3y. 80% of B's expenditure = x → 0.8×3y = x → y = 5x/12. Savings of A = x − 2y = x − 5x/6 = x/6; savings of B = 2x − 3y = 2x − 5x/4 = 3x/4. Ratio = (x/6):(3x/4) = 2:9.
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