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The income of Suresh and Rakesh are in the ratio 5 : 4 and their expenditure are in the ratio 3 : 2. If each saves Rs. 6000, then Suresh’s income can be? Question Description : Rs. 10000 Rs. 16000 Rs. 15000 Rs. 12000

Question

The income of Suresh and Rakesh are in the ratio 5 : 4 and their expenditure are in the ratio 3 : 2. If each saves Rs. 6000, then Suresh’s income can be? Question Description : Rs. 10000 Rs. 16000 Rs. 15000 Rs. 12000

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Solution

The problem is about the ratio of incomes and expenditures of Suresh and Rakesh.

Let's denote:

  • Suresh's income as 5x and his expenditure as 3y
  • Rakesh's income as 4x and his expenditure as 2y

According to the problem, both Suresh and Rakesh save Rs. 6000. This means that their income minus their expenditure equals Rs. 6000.

So, we can write the following equations:

For Suresh: 5x - 3y = 6000 For Rakesh: 4x - 2y = 6000

We can solve these two equations to find the values of x and y, which will give us the incomes of Suresh and Rakesh.

Let's subtract the second equation from the first:

(5x - 3y) - (4x - 2y) = 6000 - 6000 x - y = 0 => x = y

Substitute x = y into the first equation:

5x - 3x = 6000 2x = 6000 => x = 6000 / 2 = 3000

So, Suresh's income is 5x = 5 * 3000 = Rs. 15000.

Therefore, the answer is Rs. 15000.

This problem has been solved

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