The income of Asaram Satpal and Rahim in the ratio of 12 9 7 and their spendings are in the ratio 15...........

Quant (SSC) Ratio, Proportion

The income of Asaram, Satpal and Rahim in the ratio of 12 : 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If Asaram saves 25% of his income. What is the ratio of the savings of Asaram, Satpal and Rahim?

15 : 18 : 11

5 : 8 : 7

23 : 18 : 11

25 : 16 : 13

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Explanation:

Income = Expenditure + Saving
Asaram: 12x = 15y + 3x (3x = 25% of 12x)
Satpal: 9x = 9y + (9x – 9y)
Rahim: 7x = 8y + (7x – 8y)
Therefore, 12x – 3x = 15y
⇒ x /y = 5 /3
⇒ y = 3x /5
Therefore, savings = (income – expenditure)
Asaram = 12x – 9x = 3x
Satpal = 9x – 9y = 9x – 27 /5x = 18 /5x
Rahim = 7x – 8y = 7x – 24 /5x = 11 /5x
i.e., the ratio of savings of Asaram : Satpal : Rahim
= 3x : 18 /5x : 11/5x
= 15 : 18 : 11