A shop offers 10% discount on every purchase of an article. It also offers an additional discount of 12%, if the payment is made in cash. If the original price of an item is Rs 250, how much a customer will pay, if he wants to pay the price in cash ?

Options

A. Rs. 180
B. Rs. 192
C. Rs 198
D. Rs. 195

Answer

To solve the problem step by step, we will calculate the total discount applied to the original price of the item and then find out the final amount the customer has to pay if they make the payment in cash.

**Step 1: Calculate the first discount (10%)**
- The original price of the item is Rs. 250.
- The first discount offered is 10%.
- To find the discount amount, we calculate 10% of Rs. 250.

\[ \text{First Discount} = \frac{10}{100} \times 250 = 25 \text{ Rs.} \]

**Step 2: Calculate the selling price after the first discount**
- Subtract the first discount from the original price to find the selling price.

\[ \text{Selling Price after First Discount} = 250 - 25 = 225 \text{ Rs.} \]

**Step 3: Calculate the second discount (12%) on the new selling price**
- The additional discount of 12% is applied on the new selling price (Rs. 225).
- To find the discount amount, we calculate 12% of Rs. 225.

\[ \text{Second Discount} = \frac{12}{100} \times 225 = 27 \text{ Rs.} \]

**Step 4: Calculate the final selling price after both discounts**
- Subtract the second discount from the selling price after the first discount to find the final amount the customer has to pay.

\[ \text{Final Selling Price} = 225 - 27 = 198 \text{ Rs.} \]

Thus, the customer will pay Rs. 198 if they make the payment in cash.

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