Question

The salary of an employee in a school was increased by 9%. If his present salary is rupees8502, What was the salary before increment?

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Give step by step explanation ​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Salary\:before\:increment=7,800\:rupees}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies \text{Increased \% = 9 \% }\\ \\ \implies \text{Present \: salary = 8502 \: rupees } \\ \\ \underline \bold{To \: Find : } \\ \implies Salary \: before \: increment = ?$

• According to given question :

$\text{Let \: salary \:before \: increment = x rupees} \\ \\ \bold{Increased \: salary} \\ \implies Increased \: salary = 9 \% \: of \: x \\ \\ \implies Increased \: salary= \frac{9}{100} \times x \\ \\ \implies Increased \: salary= 0.09x \\ \\ \bold{Salary \: after \: increment} \\ \implies x + 0.09x = 8502 \\ \\ \implies 1.09x = 8502 \\ \\ \implies x = \frac{8502}{1.09} \\ \\ \green{\implies \text{x = 7800 \: rupees}} \\ \\ \green{\therefore \text{Salary \: before \: increment = 7800 \: rupees}}$