A bicycle, marked at Rs. 2,000 is sold with two successive discounts of 20% and 10%. An additional 'discounts' of 5% is offered for cash payment. The selling price of the bicycle at cash payment is

Options

A. Rs. 1, 368
B. Rs. 1,468
C. Rs. 1,568
D. Rs. 1,668

Answer

To find the selling price of the bicycle after applying the successive discounts and the additional cash discount, we can follow these steps:

### Step 1: Calculate the first discount (20%)
The marked price of the bicycle is Rs. 2000. The first discount is 20%.

\[ \text{First Discount} = \frac{20}{100} \times 2000 = 400 \]

### Step 2: Calculate the price after the first discount
Subtract the first discount from the marked price.

\[ \text{Price after First Discount} = 2000 - 400 = 1600 \]

### Step 3: Calculate the second discount (10%)
Now, apply the second discount of 10% on the new price (Rs. 1600).

\[ \text{Second Discount} = \frac{10}{100} \times 1600 = 160 \]

### Step 4: Calculate the price after the second discount
Subtract the second discount from the price after the first discount.

\[ \text{Price after Second Discount} = 1600 - 160 = 1440 \]

### Step 5: Calculate the additional cash discount (5%)
Now, apply the additional cash discount of 5% on the price after the second discount (Rs. 1440).

\[ \text{Cash Discount} = \frac{5}{100} \times 1440 = 72 \]

### Step 6: Calculate the final selling price
Subtract the cash discount from the price after the second discount.

\[ \text{Final Selling Price} = 1440 - 72 = 1368 \]

### Conclusion
The selling price of the bicycle at cash payment is Rs. 1368.

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