Question 68

A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B. then by what percentage is the income of A less than the income of B?

Solution

Let the income of A and B be X and Y respectively.

Saving of A = X - $$\frac{60}{100} \times$$ X = 0.4X

Saving of B = Y - $$\frac{75}{100} \times$$ Y = 0.25Y

If the savings of A are 20% more than that of B then,

Saving of A = 0.25Y $$\times \frac{120}{100} = 3Y/10

0.4X = 3Y/10

4X = 3Y

Ratio of income of A and B = 3 : 4

Required percentage = $$\frac{(4 - 3)}{4} \times$$ 100 = 25%

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