A and B spend 60 and 75 of their incomes respectively If the savings of A are 20 more than that of B...........

Quantitative Aptitude (CGL) Percentage

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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?

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SSC CGL 5th March 2020 Shift-2

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Explanation:

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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