One vendor sold 60% chilli powder for 10% profit and the remaining 5% for a profit. He has a profit of Rs. What's the cost?
Answers
Answer:
30% profit remaining chilli powder
Question:
One vendor sold 60% chilli powder for 10% profit and the remaining 5% for a profit. He has a profit of Rs 400. What's the cost?
Define x :
Let the cost price be x
Find the selling price of the 60% sold at a profit of 10%:
Amount of chilli powder sold =60% of x
Amount of chilli powder sold =0.6x
Profit = 10% of 0.6x
Profit - 0.06x
Total selling price = 0.6x + 0.06x
Total selling price = 0.66x
Find the selling price of the remaining that was sold at a loss of 5%:
Remaining amount = x - 0.6x
Remaining amount = 0.4x
Loss = 5% x 0.4
Loss = 0.05 x 0.4
Loss = 0.02x
Selling Price = 0.4x - 0.02x
Selling Price = 0.38x
Find the total selling price:
Total selling price = 0.66x + 0.38x
Total selling price = 1.04x
Find the profit
Profit = 1.04x - x
Profit = 0.04x
Find the cost price:
0.04x = Rs 400
x = Rs 1000
Answer: The cost price is Rs 1000