A shopkeeper allows a discount of 10% on the marked price of a commodity which he bought at 540rs.Had he sold at marked price,he would have made a profit of 210rs.what is present sp of a commodity?
ans(675rs)
If the marked price is p, then
.90(540+210) = 675
To find the selling price (SP) of the commodity, we need to take into account the discount given by the shopkeeper and the profit he would have made if he had sold it at the marked price.
Let's break down the information given and determine the approach to solve this problem step by step:
1. The shopkeeper bought the commodity for Rs. 540.
2. If the shopkeeper had sold the commodity at the marked price, he would have made a profit of Rs. 210.
3. The discount given on the marked price is 10%.
Now, let's calculate the marked price (MP) of the commodity:
Profit = MP - Cost Price (CP)
210 = MP - 540
MP = 210 + 540
MP = Rs. 750
Since the shopkeeper provides a 10% discount on the marked price, we can calculate the selling price by deducting the discount from the marked price:
Discount = 10% of MP
Discount = (10/100) * 750
Discount = Rs. 75
Selling Price (SP) = MP - Discount
SP = 750 - 75
SP = Rs. 675
Therefore, the present selling price of the commodity is Rs. 675.
To find the selling price (SP) of the commodity, we need to consider the discount allowed by the shopkeeper and the profit he would have made if he sold at the marked price.
Let's denote the marked price (MP) of the commodity as 'X'. We are given that the shopkeeper bought the commodity for 540rs and would have made a profit of 210rs if sold at the marked price.
Profit = Selling Price - Cost Price
Therefore, Selling Price = Cost Price + Profit
Given that the cost price (CP) is 540rs, and the profit (P) is 210rs, we can calculate the selling price (SP).
SP = CP + P
SP = 540rs + 210rs
SP = 750rs
Now, we need to consider the discount of 10% on the marked price.
Discount = (10/100) * MP
Discount = (10/100) * X
Discount = X/10
After applying the discount, the selling price will be reduced by the discount amount.
SP = MP - Discount
750rs = X - X/10
7500rs = 10X - X
7500rs = 9X
X = 7500rs / 9
X ≈ 833.33rs
Therefore, the present selling price (SP) of the commodity is approximately 833.33rs.