Question

A person spends 40\(\%\) of his salary on his educational expenses. He spends 60\(\%\) of it in purchasing books and one-half of the remaining in purchasing stationery items. If he saves Rs 160 every month, which, is one-fourth of the balance after spending over books and stationery items, what is his monthly salary?

• A. Rs 8,000
• B. Rs 9,600
• C. Rs 4,800
• D. Data indadequate

Answer 1

The Correct Option is A

Let the person's salary be \(x\)
He spends on education \(=0.4x\)
books \(=0.24x\)
Stationary items \(=\frac{(0.4-0.24)x}{2}\)
\(=0.08x\)
Remaining amount \(=0.4x-(0.24x-0.08x)=0.08x\)
According to question
\(\frac{1}{4}\times0.08x=160\)
\(\therefore\) \(x-\frac{160\times4}{0.08}=Rs 8000\) 
The correct option is (A)