To find the marked price on a bedsheet that costs Rs. 480, given that Rama Kant allows a 4% discount on the marked price and wants to make a profit of 10%, follow these steps:
- Calculate the selling price (SP) to achieve 10% profit:
Cost Price (CP)=480\text{Cost Price (CP)}=480Cost Price (CP)=480
Profit=10%×480=48\text{Profit}=10%\times 480=48Profit=10%×480=48
Selling Price=CP+Profit=480+48=528\text{Selling Price}=CP+\text{Profit}=480+48=528Selling Price=CP+Profit=480+48=528
- Let the marked price be xxx. Since a 4% discount is allowed on the marked price, the selling price is 96% of the marked price:
SP=x×(1−0.04)=0.96x\text{SP}=x\times (1-0.04)=0.96xSP=x×(1−0.04)=0.96x
- Set the selling price equal to Rs. 528 and solve for xxx:
0.96x=5280.96x=5280.96x=528
x=5280.96=550x=\frac{528}{0.96}=550x=0.96528=550
Therefore, the marked price must be Rs. 550 to make a 10% profit after allowing a 4% discount on the marked price
. Answer: Rs. 550
