From the salary of a software engineer, if 15% is used as house rent, 25% of the remaining is spent on household items, 25% of the remaining as income tax, and 15% of the remaining on clothing, then he is left with ₹10,404. Find his total salary.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ₹25,600.
Let the total salary of the software engineer be x
He spends 15% of his salary on house rent, so the remaining salary
⇒ Remaining salary = x - 0.15x = 0.85x
He spends 25% of the remaining salary on household items, so after this expenditure
⇒ Remaining salary = 0.75 × 0.85x = 0.6375x
He spends 25% of the remaining salary on income tax, so after this expenditure
⇒ Remaining salary = 0.75 × 0.6375x = 0.478125x
He spends 15% of the remaining salary on clothing, so after this expenditure
⇒ Remaining salary = 0.85 × 0.478125x = 0.40640625x
He is left with ₹10,404, so
⇒ 0.40640625x = 10404
⇒ x = 10404/0.40640625
⇒ x = 25600
Thus, the total salary of the software engineer is ₹25,600.