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.
To find the marked price of the television, we need to follow these steps:
Step 1: Calculate the cost price after applying the discount.
The shopkeeper purchased the television for Rs 5600 and received a 5% discount. To calculate the cost price after the discount, we need to subtract the discount amount from the purchase price.
Discount = 5% of Rs 5600 = (5/100) × Rs 5600 = Rs 280
Cost price after discount = Rs 5600 - Rs 280 = Rs 5320
Step 2: Calculate the selling price after applying a 10% profit.
To calculate the selling price after adding a 10% profit, we need to find 110% of the cost price after the discount (Rs 5320).
Profit = 10% of Rs 5320 = (10/100) × Rs 5320 = Rs 532
Selling price = Cost price after discount + Profit = Rs 5320 + Rs 532 = Rs 5852
Step 3: Calculate the marked price after a 5% discount.
If the selling price is obtained after applying a 5% discount, we need to find the original marked price.
Let's assume the original marked price is 'M'.
Discount = 5% of M = (5/100) × M = M/20
Selling price = Marked price - Discount = M - (M/20) = 19M/20 = Rs 5852
Now we can solve the equation to find the marked price (M).
19M/20 = Rs 5852
Multiplying both sides by 20/19:
M = (Rs 5852) × (20/19)
M ≈ Rs 6155.79
Therefore, the marked price of the television is approximately Rs 6155.79.