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The monthly incomes of two friends David and Ashish, are in the ratio 5 : 8, respectively, and each of them saves ₹81,000 every month. If the ratio of
Question

The monthly incomes of two friends David and Ashish, are in the ratio 5 : 8, respectively, and each of them saves ₹81,000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of David (in ₹).

A.

2,83,500

B.

2,01,500

C.

2,03,500

D.

2,02,500

Correct option is D

Given:
Ratio of incomes of David and Ashish = 5 : 8
Savings of each = 81000
Ratio of their expenditures = 2 : 4
Formula Used:
Income - Savings = Expenditure
Solution:
Let the monthly incomes of David and Ashish be 5x and 8x.
Expenditure of David = 5x - 81000
Expenditure of Ashish = 8x - 81000
Ratio of their expenditures is 2 : 4, which simplifies to 1 : 2.
5x810008x81000=12\frac{5x - 81000}{8x - 81000} = \frac{1}{2}​​
2(5x - 81000) = 1(8x - 81000)
10x - 162000 = 8x - 81000
2x = 81000
x = 40500
Monthly income of David = 5x = 5 × 40500 = 202500
Final Answer
So the correct answer is (d)

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