A manufacturer sold an item to a dealer for RS.16000 . Dealer sells it to a whole - saler making a profit of 10% . Whole-saler sells it to a retailer at a profit of 5% . Retailer sells it to the customer at a profit of 12.5% . What price is paid by the customer ?
Answers
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,
\begin{gathered}\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\end{gathered}
100
100+10
×
100
100+20
×
100
100−15
×x=56100
100
110
×
100
120
×
100
85
×x=56100
1.1×1.2×0.85×x=56100
x=
1.1×0.85×1.2
56100
x=50000
Hence, Cost price of the article to the manufacture is Rs.50000.