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The monthly incomes of two friends Keshav and Tushar, are in the ratio 5 : 7 respectively and each of them saves Rs. 93000 every month. If the ratio o
Question

The monthly incomes of two friends Keshav and Tushar, are in the ratio 5 : 7 respectively and each of them saves Rs. 93000 every month. If the ratio of their monthly expenditure is 2 : 3, find the monthly income of Keshav(in Rs.).

A.

465000

B.

464000

C.

651000

D.

466000

Correct option is A

Given:
The monthly incomes of two friends Keshav and Tushar are in the ratio 5:7.
They save ₹93000 each every month.
The ratio of their monthly expenditure is 2:3.
Formula Used:
Income = Expenditure + Savings
Solution:
Let the monthly incomes of Keshav and Tushar be 5x and 7x respectively.
Let the monthly expenditures of Keshav and Tushar be 2y and 3y respectively.
5x - 2y = 93000 ...........(1)
7x - 3y = 93000 ...........(2)
Multiply the first equation by 3 and the second equation by 2:
=> 15x - 6y = 279000
=> 14x - 6y = 186000
Subtract the second equation from the first:
(15x - 6y) - (14x - 6y) = 279000 - 186000
=> x = 93,000
Therefore, Keshav's monthly income = 5x =  5 × 93,000 = 465000 

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