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Question

The salary of an employee is increased by $$15$$%. If his new salary is $$Rs. 12,650$$, what was his salary before enhancement?


Solution

Let the salary before enhancement be $$Rs. 100$$. Since his increment is $$15$$%, his salary after enhancement is $$Rs. 100 + Rs. 15 = Rs. 115$$.
Now we reverse the role. If the new salary is $$Rs. 115$$, salary before enhancement is $$Rs. 100$$.
If the new salary is $$Rs. 12,650$$, salary before enhancement is $$\dfrac {100}{115}\times 12650 = Rs. 11,000$$.
Therefore, his salary before enhancement is $$Rs. 11,000$$.

Maths

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