Question

The ratio of incomes of two persons is 9: 7 and the ratio of the expenditures is 4:3. If each of them mangoes to save Rs. 2000 per month, find their monthly incomes.

Answer 1

Explanation:

Let's assume that the monthly incomes of the two persons are 9x and 7x, respectively, where x is a common multiplier for both ratios.

Given that the ratio of their incomes is 9:7, we can write the equation:

(9x)/(7x) = 9/7

Cross-multiplying, we get:

63x = 63

Dividing both sides by 63, we find:

x = 1

So, the value of x is 1.

Now, we can calculate the monthly incomes of the two persons:

Person 1's monthly income = 9x = 9(1) = Rs. 9,000

Person 2's monthly income = 7x = 7(1) = Rs. 7,000

Therefore, the monthly incomes of the two persons are Rs. 9,000 and Rs. 7,000, respectively.