Plz help me to solve this question
A dealer buys a sofa set for rs24000.at what price must he mark it so that after allowing a discount of 20%,he still makes a profit of 30%
To solve this question, you need to calculate the selling price of the sofa set considering the profit and the discount.
Here's the step-by-step process:
Step 1: Calculate the profit amount
To calculate the profit amount, multiply the cost price by the profit percentage:
Profit = Cost Price * (Profit Percentage / 100)
Profit = 24000 * (30 / 100)
Profit = 7200
Step 2: Calculate the marked price
To calculate the marked price, add the cost price to the profit amount:
Marked Price = Cost Price + Profit
Marked Price = 24000 + 7200
Marked Price = 31200
Step 3: Calculate the discounted price
To calculate the discounted price, subtract the discount amount from the marked price:
Discount = Marked Price * (Discount Percentage / 100)
Discount = 31200 * (20 / 100)
Discount = 6240
Selling Price = Marked Price - Discount
Selling Price = 31200 - 6240
Selling Price = 24960
Therefore, the dealer must mark the sofa set at Rs 31,200 in order to make a profit of 30% even after allowing a 20% discount.
P*.8 = 24000*1.3
P = 39000
check:
20% discount on 39000 makes the sale price 31200
30% markup on 24000 = 31200