Ratio

Algebra Level 3

The ratio of income of A and B is 3 : 4 3:4 . The ratio of their expenditure is 4 : 5 4:5 . Find the ratio of theirs savings if the savings of A is one fourth of his income?

5 : 4 5:4 12 : 20 12:20 9 : 7 9:7 12 : 19 12:19 19 : 12 19:12

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1 solution

Roger Erisman
Aug 22, 2016

Let A's income = 3000. Therefore his savings = 1/4 * 3000 = 750. This means his expenses are 2250.

A's expenses are 4/5 of B's expenses so B's expenses are 2250*5/4 = 2812.50.

B's income is 4/3 * 3000 = 4000. His savings are 4000 - 2812.50 = 1187.50.

Ratio of savings = 750/1187.50 = 7500 / 11875 = 12 / 19

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