Question Details

A man spends 12% of his monthly salary on education and 7% on rent. He invests Rs. 10250 of his salary in a SIP and saves 4x% of his salary. If his total monthly salary is Rs. 25000, then find the value of x?

Options

A

5

B

15

C

12

D

10

Show Answer

Correct Answer :

Option D

10

10

Solution :

To find the value of x, we need to account for all parts of the man's monthly salary.

Given data:
- Total monthly salary = Rs. 25000
- Spend on education = 12% of salary
- Spend on rent = 7% of salary
- Investment in SIP = Rs. 10250
- Savings = 4x% of salary

Let's first express the SIP investment as a percentage of the total monthly salary:
SIP percentage = 10250 25000 × 100
SIP percentage = 1025 25 = 41 %

The sum of all allocations (education, rent, SIP investment, and savings) must equal 100% of the total monthly salary:
12 % + 7 % + 41 % + 4 x % = 100 %

Combine the known percentages:
60 + 4 x = 100

Subtract 60 from both sides:
4 x = 40

Divide by 4:
x = 10

Therefore, the value of x is 10.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...