SSC MTS 2 Aug 2019 Shift 3 Paper

Question : 37 of 100

Marks: +1, -0

The simple interest for 9 years on a principal is

3/5

of the principal. What is the rate of interest per annum?

6%
20/3%
$5{2/3}%$
4%

Validate

Solution:

Given:
Simple interest for 9 years = (3/5) × Principal
Concept used:
Simple interest, SI = PRT/100
Calculation:
P × R × 9/100 = (3/5) × P
R = (3/5) × (100/9) = 20/3%
Alternate Method:
Let the principal be 5x.
⇒ Simple interest = 3x
⇒ Simple interest

=\PRT/100

⇒

3\x={5\x×\R×9}/100

⇒ R = 300/45 = 20/3 %
∴ The rate of interest per annum is 20/3%.

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