Question 61

The incomes of A and B are in the ratio 6 : 11. The ratio of their expenditures is 1 : 2. If A and B save ₹9,000 and ₹11,500, respectively, then the expenditure of B is:

Solution

Given, 

The ratio of income = 6 : 11

The ratio of expenditure = 1 : 2

Now,

Let the income of A and B is 6x and 11x.

Then, The expenditure of A = 6x - 9000

The expenditure of B = 11x - 11500

According to Question, 

$$\frac{6x-9000}{11x-11500}=\frac{1}{2}$$

$$\therefore\ 12x-18000=11x-11500$$

$$\therefore\ x=6500$$

The expenditure of B =  $$\left(11\times\ 6500\right)-11500$$

$$\therefore\ 71500-11500=₹60000$$

Hence, Option D is correct. 


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