Question

b) A manufacturer sells a car to a dealer at a profit of 50%, the dealer sells it to a customer at a profit of 20% and the customer sells it to a friend for Rs 288000 at a loss of 20%. Find the cost of manufacturer
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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 tomer = 56100

According to question,

(100 + 10)/100 * (100 + 20)/100 * (100 - 15)/100 * x = 5f

110/100 * 120/100 * 85/100 * x = 56100

1.1 * 1.2 * 0.85x = 56100

x = 56100/(1.1 * 0.85 * 1.2)

x = 5000

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

Answer 2

Step-by-step explanation:

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,

$\begin{gathered} \tt\frac{100+10}{100}\times \frac{100+20}{100}\times \frac{100-15}{100}\times x=56100\\\\\ \tt \frac{110}{100}\times \frac{120}{100}\times \frac{85}{100}\times x=56100\\\\ \tt1.1\times 1.2\times 0.85\times x=56100\\\\ \tt \: x=\frac{56100}{1.1\times 0.85\times 1.2}\\\ \tt \: x=50000\end{gathered}$

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