Question

A manufacturer sells an article to a wholesale dealer at a profit of 10%. The wholesale dealer sells it to
a shopkeeper at 20% profit. The shopkeeper sells it to the customer for ₹56,100 at a loss of 15%. What is the cost price of the article to the manufacturer?​

Answer 1

Answer: Cost price of the article to the manufacture is Rs.50000.

Answer: Cost price of the article to the manufacture is Rs.50000.Step-by-step explanation:

Since we have given that

Let the cost price of the article to the manufacture be x

Profit percentage when manufacture sells to a wholesaler = 105

Profit percentage when whole saler sells to a shopkeeper = 20%

Loss percentage when the shopkeeper sells to a shopkeeper = 15%

Total amount paid by a customer = 56100

$\frac{100 + 10}{100} \times \frac{100 + 20}{100} \times \frac{100 - 15}{100} \times x = 56100 \\ \frac{110}{100} \times \frac{120}{100} \times \frac{85}{100} \times x = 56100 \\ 1.1 \times 1.2 \times 0.85 \times x = 56100 \\ x = \frac{56100 }{1.1 \times 0.85 \times 1.2} \\ x = 50000$

Hence, Cost price of the article to the manufacture is Rs.50000.