Question
The income of Mr. Chandu is Rs. 36,000, and Mr. Dinesh’s
income is ‘p%’ less than Mr. Chandu. Mr. Dinesh saves Rs. 5,400, which is ‘p%’ less than the savings of Mr. Chandu. If Mr. Dinesh’s expenses amount to Rs. 27,000, find Mr. Chandu’s expenditure.Solution
ATQ,
Income of Mr. Dinesh = [(100 - p) ÷ 100] × 36,000 = Rs. (36,000 - 360p)
Expenditure of Mr. Dinesh = Income of Dinesh - Savings of Dinesh = 36,000 - 360p - 5,400 = Rs. (30,600 - 360p)
So, 30,600 - 360p = 27,000
⇒ 360p = 3,600
⇒ p = 10
Savings of Mr. Chandu = (5,400 ÷ 0.9) = Rs. 6,000
Therefore, Expenditure of Mr. Chandu = Income - Savings = 36,000 - 6,000 = Rs. 30,000
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