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A dealer buys a table listed at Rs. 1.50...

A dealer buys a table listed at Rs. 1.500 and gets successive discounts of 20% and 10%. He spends Rs. 20 on transportation and sells at a profit of 20%. Find the Selling Price of the table (in rupees).

A

1320

B

1080

C

1200

D

1230

Text Solution

AI Generated Solution

The correct Answer is:
To find the Selling Price of the table, we will follow these steps: ### Step 1: Calculate the first discount The listed price of the table is Rs. 1500. The dealer gets a discount of 20%. \[ \text{First Discount} = \text{Listed Price} \times \frac{20}{100} = 1500 \times 0.20 = 300 \] ### Step 2: Calculate the price after the first discount Now, we subtract the first discount from the listed price. \[ \text{Price after First Discount} = \text{Listed Price} - \text{First Discount} = 1500 - 300 = 1200 \] ### Step 3: Calculate the second discount The dealer then gets a second discount of 10% on the new price of Rs. 1200. \[ \text{Second Discount} = \text{Price after First Discount} \times \frac{10}{100} = 1200 \times 0.10 = 120 \] ### Step 4: Calculate the price after the second discount Now, we subtract the second discount from the price after the first discount. \[ \text{Price after Second Discount} = \text{Price after First Discount} - \text{Second Discount} = 1200 - 120 = 1080 \] ### Step 5: Add transportation cost The dealer spends Rs. 20 on transportation. Therefore, we add this cost to the price after the second discount to find the total cost price. \[ \text{Cost Price} = \text{Price after Second Discount} + \text{Transportation Cost} = 1080 + 20 = 1100 \] ### Step 6: Calculate the selling price for a profit of 20% To find the selling price, we need to calculate 20% profit on the cost price. \[ \text{Profit} = \text{Cost Price} \times \frac{20}{100} = 1100 \times 0.20 = 220 \] Now, we add the profit to the cost price to find the selling price. \[ \text{Selling Price} = \text{Cost Price} + \text{Profit} = 1100 + 220 = 1320 \] ### Final Answer The Selling Price of the table is **Rs. 1320**. ---
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