A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
examcare Answered question February 16, 2025
Quick slove
To find the profit, we need to calculate the cost price first.
Step 1: Let’s assume the cost price is x.
We know that the shopkeeper expects a gain of 22.5% on his cost price.
Step 2: Calculate the selling price.
Selling Price = Cost Price + Profit
Since the profit is 22.5% of the cost price, we can write:
Selling Price = x + 0.225x
= 1.225x
Step 3: Given that the sale was of Rs. 392, we can set up the equation:
1.225x = 392
Step 4: Solve for x.
x = 392 / 1.225
x = 320
Step 5: Calculate the profit.
Profit = Selling Price – Cost Price
= 392 – 320
= 72
examcare Answered question February 16, 2025