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### Question

The difference between simple interests on an amount @7% for 17 years and at 2% for 6 years is Rs. 535. What is the amount?

**A**

Rs. 500.

**B**

Rs. 600.

**C**

Rs. 400.

**D**

Rs. 700.

**Soln.**

**Ans: a**

The shortcut formula is P = ${\text"diff" × 100}/{r_1 × t_1 - r_2 × t_2}$. Putting r_{1} = 7, t_{1} = 17, r_{2} = 2, t_{2} = 6, diff = 535, we get P = Rs. 500.