# Discussion of Question with ID = 028 under Simple-Interest

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### Question

The difference between simple interests on an amount @11% for 18 years and at 6% for 16 years is Rs. 816. What is the amount?

A

Rs. 800.

B

Rs. 900.

C

Rs. 700.

D

Rs. 1000.

Soln.
Ans: a

The shortcut formula is P = ${\text"diff" × 100}/{r_1 × t_1 - r_2 × t_2}$. Putting r1 = 11, t1 = 18, r2 = 6, t2 = 16, diff = 816, we get P = Rs. 800.