Question
The incomes of Veer and Aryan are in the ratio 12:9. Veer
saves 25% of his income. Aryan’s expenditure is 60% of Veer’s expenditure. If the difference in their savings amounts to Rs. 18,000, what is Aryan’s income?Solution
ATQ,
Let the incomes of Veer and Aryan be Rs. 12x and Rs. 9x respectively.
Savings of Veer = 12x × (25/100) = Rs. 3x
Expenditure of Veer = 12x - 3x = Rs. 9x
Expenditure of Aryan = 9x × 0.6 = Rs. 5.4x
Savings of Aryan = 9x - 5.4x = Rs. 3.6x
ATQ,
(3.6x - 3x) = 18,000
⇒ 0.6x = 18,000
⇒ x = 30,000
Income of Aryan = 9x = Rs. 2,70,000
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