12 Views

Question : A man spends $7\frac{1}{2}$% of his money, and after spending 75% of the remaining, he has Rs. 370 left. How much money did he initially have?

Option 1: Rs. 1200

Option 2: Rs. 1600

Option 3: Rs. 1500

Option 4: Rs. 1400


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: Rs. 1600


Solution : Given:
A man spends $7\frac{1}{2}$% of his money and after spending 75% of the remaining has Rs. 370 left.
Now, $7\frac{1}{2}$% = $\frac{3}{40}$ and $75$% = $\frac{3}{4}$
Let the income of the man be Rs. $x$.
At first, the man spent $\frac{3}{40}$ of $x$ money.
So, the money left = $(1 - \frac{3}{40})x = (\frac{37}{40})x$,
and then he spent $\frac{3}{4}$th of the remaining money.
So, the left amount of money will be $(1 - \frac{3}{4}) = \frac{1}{4}$th of the remaining money.
According to the given information,
$x × (\frac{37}{40}) × (\frac{1}{4}) = 370$
⇒ $x = 370 × (\frac{4}{1}) × (\frac{40}{37}$)
So,  $x = 1600$
Hence, the correct answer is Rs. 1600.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books