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Salil’s salary was first reduced by 15% and subsequently raised by 10%. What percentage was his final salary lower compared to his initial salary
Question

Salil’s salary was first reduced by 15% and subsequently raised by 10%. What percentage was his final salary lower compared to his initial salary?

A.

10%

B.

1.5%

C.

6.5%

D.

15%

Correct option is C

Given:

Salil’s salary is reduced by 15% and then raised by 10%.

Formula Used:

Percentage change = x+y+xy100x + y + \frac{xy}{100}​​

Solution:

Substitute x = -15 and y = 10 into the formula:

Percentage change = 15+10+(15)×10100-15 + 10 + \frac{(-15) \times 10}{100}​​

=15+10150100= -15 + 10 - \frac{150}{100}​​

= -15 + 10 - 1.5

= -6.5

Thus, the salary decreases by 6.5%

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