Question
The monthly earnings of Amit and
Sumit are in the ratio 5:6. Amit’s saving is 50% more than Sumit’s saving. If their combined income is Rs. 44000, and Sumit spends Rs. 18000, what is Amit’s expenditure?Solution
ATQ,
Let incomes of Amit and Sumit be 5x and 6x, respectively. Then, 5x + 6x = 44000 ⇒ 11x = 44000 ⇒ x = 4000 So, Amit’s income = 5x = Rs. 20000 Sumit’s income = 6x = Rs. 24000 Sumit’s expenditure = Rs. 18000 Sumit’s saving = 24000 – 18000 = Rs. 6000 Amit’s saving = 6000 + (50/100) × 6000 = 6000 + 3000 = Rs. 9000 Amit’s expenditure = 20000 – 9000 = Rs.11,000
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