The monthly incomes of two friends Nirmal and Rakesh, are in the ratio 5 : 7respectively and each of them saves ₹93000 every month. If the ratio of their monthlyexpenditure is 1 : 3, find the monthly income of Nirmal(in ₹).

Correct option is C

Given:

The monthly incomes of Nirmal and Rakesh are in the ratio 5 : 7.

Both Nirmal and Rakesh save ₹93000 each month.

The ratio of their monthly expenditures is 1 : 3.

Formula Used:

Income = Expenditure + Savings

Solution:

Let the monthly income of Nirmal be 5x and that of Rakesh be 7x

Since both save ₹93000 per month, their expenditures are:

Expenditure of Nirmal  = 5x - 93000 

Expenditure of Rakesh = 7x - 93000 

Now, 

$$\frac{5x - 93000}{7x - 93000} = \frac{1}{3}$$

​3(5x - 93000) = 1(7x - 93000)

15x - 279000 = 7x - 93000

15x - 7x = 279000 - 93000

8x = 186000

x = $$\frac{186000}{8}$$​ = 23250

The monthly income of Nirmal is 5x:

5x = $$5 \times 23250$$​ = 116250

Thus, the monthly income of Nirmal is ₹116250. 

Alternate Solution:  

4 units === 93000

1 units ==  $$\frac{93000}{4}$$​ 

monthly income of Nirmal = $$\frac{93000}{4}\times 5 = 116250$$​​