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A spends 60% of his salary and saves the remaining.  His salary is increased by 25% and he increased his expenditure by 20%.  By what % does his saving increase?

Question

A spends 60% of his salary and saves the remaining.  His salary is increased by 25% and he increased his expenditure by 20%.  By what % does his saving increase?

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Solution

Sure, let's break it down:

Step 1: Let's assume A's initial salary is 100 units. According to the problem, A spends 60% of his salary, which means he spends 60 units and saves 40 units.

Step 2: A's salary is increased by 25%. So, his new salary is 125 units.

Step 3: A increases his expenditure by 20%. His initial expenditure was 60 units, so his new expenditure is 72 units (60 units + 20% of 60 units).

Step 4: Now, let's calculate his new savings. His new salary is 125 units and his new expenditure is 72 units. So, his new savings is 125 units - 72 units = 53 units.

Step 5: Finally, let's calculate the percentage increase in his savings. The initial savings was 40 units and it has increased to 53 units. So, the increase is 13 units. The percentage increase in his savings is (13 units / 40 units) * 100% = 32.5%.

So, A's savings increased by 32.5%.

This problem has been solved

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