Question

a manufacture sells an article to a wholesale dealer at a profit of 10%. The whole sale dealer sells it to a shopkeeper at 20% profit. the shopkeeper sells it to the customer for rs 56100 at a loss of 15%. what is the cost price of the article to the manufacture.

Answer 1

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

According to question,

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

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

Answer 2

Answer:

50000

Step-by-step explanation:

100+10/100 × 100+20/100×100-15/100=x=51600

110/100× 120/100 ×85 /100 ×x=56100

1.1×1.2×0.85×x=56100

x=56100/1.1×0.85×1.2

x=50000