A shopkeeper purchased a television costing rs5600 from a dealer at 5% discount and sold at a profit of 10%. If he had sold it at 5% discount, find its marked price.

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To find the marked price of the television, we need to follow these steps:

Step 1: Determine the cost price (CP) of the television.
The shopkeeper purchased the television for Rs 5600 and got a 5% discount. This means he paid 95% of the original price (100% - 5% discount). Let's calculate the cost price:
CP = Rs 5600 ÷ (1 - 5%) = Rs 5600 ÷ (1 - 0.05) = Rs 5600 ÷ 0.95 = Rs 5894.74 (approx.)

Step 2: Calculate the selling price (SP) of the television.
The shopkeeper sold the TV at a 10% profit on the cost price. To find the selling price, we add the profit percentage to the cost price:
Profit = 10% of CP = 10% of Rs 5894.74 = Rs 589.47 (approx.)
SP = CP + Profit = Rs 5894.74 + Rs 589.47 = Rs 6484.21 (approx.)

Step 3: Determine the marked price (MP) of the television with a 5% discount.
We know that the selling price with a 5% discount is Rs 6484.21. To find the marked price, which is without any discount, we need to reverse the effect of the 5% discount:
MP = SP ÷ (1 - 5%) = Rs 6484.21 ÷ (1 - 0.05) = Rs 6484.21 ÷ 0.95 = Rs 6824.95 (approx.)

Hence, the marked price of the television is approximately Rs 6824.95.