Ratio, Proportion

Quantitative Aptitude (MTS)

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The ratio of monthly incomes of Pawan and Sunil is 4 : 3 and the ratio of their monthly expenditures is 3 : 2. If Pawan and Sunil save Rs 4000 and Rs 6000 respectively per month, then what is the sum of their monthly incomes?

Rs 60000

Rs 70000

Rs 50000

Rs 36000

Explanation:

Let's break it down:

- Let Pawan's income = 4x; Sunil's income = 3x

- Pawan's expenditure = 3y; Sunil's expenditure = 2y

- Pawan's saving = 4x - 3y = 4000

- Sunil's saving = 3x - 2y = 6000

Now solve the equations:

- (1) 4x - 3y = 4000

- (2) 3x - 2y = 6000

Multiply (2) by 3: 9x - 6y = 18000

Multiply (1) by 2: 8x - 6y = 8000

Subtract: (9x - 6y) - (8x - 6y) = 18000 - 8000

This gives: x = 10000

So, total income = 4x + 3x = 7x = 7 × 10000 = Rs 70000

So the correct answer is:

Option 2: Rs 70000

By: santosh

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