**(1)** A bill for Rs. 1,200 is due in 6 months. The banker’s discount rate is 10% per annum. Find the banker’s discount and the true discount.

- (a) Banker’s Discount: Rs. 60, True Discount: Rs. 58
- (b) Banker’s Discount: Rs. 72, True Discount: Rs. 70
- (c) Banker’s Discount: Rs. 60, True Discount: Rs. 60
- (d) Banker’s Discount: Rs. 70, True Discount: Rs. 72

**(2)** If the banker’s discount on a certain sum due 9 months hence at 12% per annum is Rs. 108, what is the present value of the sum?

- (a) Rs. 2,700
- (b) Rs. 2,600
- (c) Rs. 2,800
- (d) Rs. 2,900

**(3)** The true discount on a bill of Rs. 2,400 due 8 months hence is Rs. 160. What is the amount of money which the creditor must invest in order to be entitled to the bill after 4 months at 10% per annum?

- (a) Rs. 2,160
- (b) Rs. 2,260
- (c) Rs. 2,340
- (d) Rs. 2,240

**(4)** A bill of Rs. 6,000 is due in 4 months. If the banker’s discount rate is 12% per annum, find the banker’s discount and the true discount.

- (a) Banker’s Discount: Rs. 2,400, True Discount: Rs. 2,400
- (b) Banker’s Discount: Rs. 2,600, True Discount: Rs. 2,400
- (c) Banker’s Discount: Rs. 2,400, True Discount: Rs. 2,400
- (d) Banker’s Discount: Rs. 2,600, True Discount: Rs. 2,600

**(5)** If the banker’s discount on a bill is Rs. 324 and the true discount is Rs. 300, find the bill amount and the rate of interest.

- (a) Bill Amount: Rs. 2,000, Rate of Interest: 12%
- (b) Bill Amount: Rs. 3,000, Rate of Interest: 10%
- (c) Bill Amount: Rs. 3,200, Rate of Interest: 8%
- (d) Bill Amount: Rs. 3,600, Rate of Interest: 6%