arrow
arrow
arrow
A sum of money invested at simple interest becomes 17/10 of itself in 2 years and 6 months. What is the rate of interest per annum?
Question

A sum of money invested at simple interest becomes 17/10 of itself in 2 years and 6 months. What is the rate of interest per annum?

A.

22 percent

B.

16 percent

C.

28 percent

D.

34 percent

Correct option is C

Given:
The final amount after 2 years and 6 months (or 2.5 years) is 1710\frac{17}{10}​ of the principal.
Time = 2 years and 6 months = 2.5 years.
Formula Used:
For simple interest, the relationship between the principal, interest, and amount is given by the formula:
A=P(1+R×T100)A = P \left( 1 + \frac{R \times T}{100} \right)​​
Where:
A is the final amount,
P is the principal,
R is the rate of interest per annum,
T is the time period in years.
Solution: 
Putting the values in the formula 
17=10(1+R×2.5100)17 = 10 \left( 1 + \frac{R \times 2.5}{100} \right) 
1710=(1+R×2.5100)\frac{17}{10} = \left( 1 + \frac{ R \times 2.5}{100} \right) 
17101=R×2.5100\frac{17}{10}-1 = \frac{R \times 2.5 }{100} 
7×10010×2.5=R\frac{ 7 \times 100}{ 10 \times 2.5} = R 
So,  R = 28% 

Alternate Method: 
Direct approach; 

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘SSC CGL Tier I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow