Correct Answer - Option 2 : 30,000
Given:
Simple Interest = Rs. 27,600
Rate of interest for 3 years = 4% p.a.
Rate of interest for next 4 years = 8% p.a.
Rate of interest beyond 7 years = 12% p.a.
Total time period = 11 years
Formula Used:
S.I. = (P × R × T)/100
where, P → Principal, R → Rate of Interest, T → Time period, S.I. → Simple Interest
Calculations:
Let the sum lent be Rs. x.
Simple Interest = Rs. 27,600
Now, S.I. = (P × R × T)/100
For 11 years,
27,600 = (x × 4 × 3)/100 + (x × 8 × 4)/100 + (x × 12 × (11 – 7))/100
⇒ 27,600 = x × (12 + 32 + 48)/100
⇒ 27,600 = x ×( 92/100)
⇒ x = Rs. (27,600 × 100)/92
⇒ x = Rs. 30,000
∴ The sum is Rs. 30,000.