Question

From the salary of an officer, 10% is deducted as house rent, 15% of the rest he spends on children's education and 10% of the balance he spends on clothes. After this expenditure he is left with Rs 1377. His salary is

• A. Rs 2100
• B. Rs 2040
• C. Rs 2000
• D. Rs 2200

Answer 1

Answer: (C)

Rs 2000

Answer 2

Let the salary of the officer be Rs $x$.

10% is deducted as house rent, so he is left with 90% of his salary:
$\text{Remaining salary} = 0.9x$

He spends 15% of the remaining salary on children's education, so he is left with 85% of this:
$\text{After education expenditure} = 0.85 \times 0.9x = 0.765x$

He spends 10% of the balance on clothes, so he is left with 90% of this:
$\text{After clothes expenditure} = 0.9 \times 0.765x = 0.6885x$

After all these expenditures, he is left with Rs 1377:
$0.6885x = 1377$

Solving for $x$
$x = \frac{1377}{0.6885} = 2000$

Thus, the officer's salary is Rs $2000$.