Question

The owner of a furniture shop charges his customer 28% more than the cost price. If a customer paid Rs. 23,680 for a dining table set, then what was the original price of the dining set?

(a) Rs. 18,500
(b) Rs. 20,000
(c) Rs. 23,000
(d) Rs. 18,400

Answer 1

To find the original price of the dining set, use the equation 1.28x = 23,680 and solve for x. Convert the percent discount to a decimal by dividing by . Step 2: Set up the equation P = ( 1 − d ) x to find the original price of the item where is the sale price, is the discount as a decimal, and is the original price of the item.

Step-by-step explanation:

To find the original price of the dining set, we need to solve for the cost price. Let's assume the cost price of the dining set is x.

According to the given information, the owner charges 28% more than the cost price, which means the selling price is 1.28 times the cost price: 1.28x.

If a customer paid Rs. 23,680 for the dining table set, we can set up the equation: 1.28x = 23,680.

Solving for x, we divide both sides of the equation by 1.28: x = 23,680 ÷ 1.28 = Rs. 18,500.

Therefore, the original price of the dining set was Rs. 18,500, so the correct answer is (a) Rs. 18,500.

To convert 28% to decimal, we divide 28 by 100, getting 0.28. The markup percentage is therefore 1 + 0.28 = 1.28. Now we divide the selling price of Rs. 23,680 by 1.28 to get the original cost price.

So, the cost price (original price) = Rs. 23,680 / 1.28 = Rs. 18,500.

Therefore, the original price of the dining set was Rs. 18,500.