Question

Sumeet spends 10% of his salary on his child’s education, 20% of the remainder on rent and 25% of the balance on garments. Finally, he is left with $ 5,400. What is his salary?

• A. $ 10,000
• B. $ 11,000
• C. $ 12,000
• D. $ 13,000
• E. $ 14,000

Answer 1

The Correct Option is A

Let Sumeet’s salary be \(\$ x.\)
Amount spent on child’s education =\( 10\% of \$ x = \$ 0.1 x\)
Remaining amount = \(\$ x – \$ 0.1 x = \$ 0.9x\)
Amount spent on rent = \(20\% of \$ 0.9x = \$ 0.18x\)
Remaining amount \(= \$ 0.9x – \$ 0.18x = \$ 0.72x\)
Amount spent on garments \(= 25\% of \$ 0.72x = \$ 0.18x\)
Remaining amount \(=\$ 0.72x – \$ 0.18x = \$ 0.54x\)
According to the question, \(\$ 0.54x = \$ 5400 \)
\(⇒ x = \$ 10, 000\)
Hence, Sumeet’s salary \(= \$ 10, 000\)
The correct answer is A.