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The income of Raman is ₹43,500. He saves 17% of his income. If his income increases by 18% and expenditure increases by 20%, then his savings will:
Question

The income of Raman is ₹43,500. He saves 17% of his income. If his income increases by 18% and expenditure increases by 20%, then his savings will:

A.

increase by ₹609

B.

decrease by ₹608

C.

increase by ₹606

D.

decrease by ₹604

Correct option is A

Given
Initial Income = ₹43500
Savings percentage = 17%
Income increase = 18%
Expenditure increase = 20%
Formula Used
Income = Expenditure + Savings
Solution
Let initial income be 100x.
Initial Savings = 17x
Initial Expenditure = 100x - 17x = 83x
New Income = 100x×1.18=118x100x \times 1.18 = 118x​​
New Expenditure = 83x×1.20=99.6x83x \times 1.20 = 99.6x​​
New Savings = 118x - 99.6x = 18.4x
Increase in Savings = 18.4x - 17x = 1.4x
Since 100x = 43500, the actual increase is 1.4% of the initial income.
Increase = 1.4100×43500=609\frac{1.4}{100} \times 43500 = 609​​
The savings will increase by ₹609.
Final Answer
So the correct answer is (a)

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