Multiple choice

Mira's expenditure and sayings are in the ratio 3: 2. Her income increases by 10 percent. Her expenditure also increases by 12 percent. By how much per cent does her saving increase?

  1. 7%

  2. 10%

  3. 8%

  4. 9%

  5. 13%
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A Correct answer
Explanation

Take Mira's expenditure and saving as 3x and 2x, so her income is 5x. After the changes, income is 5.5x and expenditure is 3.36x, leaving saving of 2.14x. The increase is 0.14x out of 2x, which is 7%.

AI explanation

Assume Mira's initial expenditure is 300 and savings are 200, giving an income of 500. Her new income is 550 and her new expenditure is 112% of 300, which is 336, making her new savings 550 - 336 = 214. The increase in savings is 214 - 200 = 14, so the percentage increase is (14 / 200) x 100, which equals 7%.

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