A sum of Rs. 10500 amounts to Rs. 13825 in
yrs at a certain rate percent per annum simple interest. What will be the simple interest on the same sum for 5 yrs at double the earlier rate?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 8750
According to the first statement,
S.I.1 × 100 = (P × R1 × T1)
S.I. = 13825 - 10500
R1 = (3325 × 100) / (10500 × 19/5)
R1 = (3325 × 100) / (2100 × 19)
R1 = 3325 / (21 × 19)
According to the second statement,
S.I.2 × 100 = (P × R2 × T2)
S.I.2 × 100 = (P × 2R1 × 5) ∵ R2 = 2R1 & T2 = 5
S.I.2 × 100 = 10500 × 2 [3325 / (21 × 19)] × 5
S.I.2 = Rs. 8750
Shortcut Method:
