Question
The income of Tanu and Manu is in the ratio of 6:5. Tanu
saves 20% of her income. Manu’s expenditure is 90% of Tanu’s expenditure. If the difference between their savings is Rs. 9,000, find Manu’s income.Solution
ATQ,
Let incomes be Rs. 6x and Rs. 5x.
Savings of Tanu = 6x × 0.2 = Rs. 1.2x
Expenditure of Tanu = 6x - 1.2x = Rs. 4.8x
Expenditure of Manu = 4.8x × 0.9 = Rs. 4.32x
Savings of Manu = 5x - 4.32x = Rs. 0.68x
ATQ,
(1.2x - 0.68x) = 9,000
⇒ 0.52x = 9,000
⇒ x = 17,308
Income of Manu = 5x = Rs. 86,540
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