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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:
Income ratio of David to Ashish = 5 : 8
Expenditure ratio of David to Ashish = 2 : 4 = 1 : 2
Savings of each = ₹81,000
Formula Used:
Income - Expenditure = Savings
Solution:
Let the incomes of David and Ashish be 5x and 8x respectively.
Let their expenditures be y and 2y respectively.
For David:
5x - y = 81000
For Ashish:
8x - 2y = 81000
Divide the second equation by 2:
4x - y = 40500
Now, subtract this from the first equation:
(5x - y) - (4x - y) = 81000 - 40500
x = 40500
The monthly income of David is 5x:
5x = 5 × 40500 = 202500
Final Answer
So the correct answer is (d)

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