Question 11

# The monthly incomes of Amit and Bharat are in the ratio of 5:4, their monthly expenses are in the ratio of 19:21, and their monthly savings are in the ratio of 37:18. If the total annual savings of Amit and Bharat is Rs.1,32,000, Amit’s monthly income is:-

Solution

Given monthly savings of Amit and Bharat are in the ration 37:18. Let the savings of Amit and Bharat be 37k and 18k, where 'k' is a constant.

$$\Rightarrow$$ Total  monthly  savings  of  Amit  and  Bharat = 55k.

Given Total annual savings of Amit and Bharat = 1,32,000.

$$\Rightarrow$$ Total  monthly  savings = 11,000.

$$\Rightarrow$$ 55k = 11000

$$\Rightarrow$$ k = 200.

Hence monthly savings of Amit and Bharat are 7400 and 3600 respectively.

From the given data,

Let the monthly incomes of Amit and Bharat be 5x and 4x respectively, where 'x' is a constant.

Similalrly, let the monthly expenditures of Amit and Bharat be 19y and 21y respectively, where 'y' is a constant.

Savings =  Income - Expenditure

$$\Rightarrow$$ 5x - 19y = 7400..........................(1)

and  4x - 21y = 3600...............................(2)

Solving both the equations we get x = 3000 and y = 400.

Therefore, the monthly income of Amit is 5x i.e., 15000.

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