Question

A dealer buys 50 chairs for 50,000 but 20 of them are damaged. He decides to sell each damaged chair at three fourths of the price of the normal chair. What should this price be of a normal chair and a damaged chair in order that he may make a profit of 35% on the whole transaction ?​

Answer 1

Answer: ₹1750

Given :

$\sf\green{Cost\: price \: of \: 50 \: chairs \: = \: Rs.50000}$

$\sf\green{Cost\: price \: of \: 1 chair \: = \: Rs. 1000}$

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Out of 50, 20 chairs are damaged which are to be sold at $\frac{3}{4}$ the price of normal one.

i.e. Selling price of each damaged chair =

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: \frac{3}{4} \times 1000 \: = \: ₹750}} }\\ \\\end{gathered}\end{gathered}$

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• S.P pf 20 damaged chairs = Rs. (20 x 750) = Rs. 15000
• Now, he has to make 35% profit on whole transact ion.

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therefore, selling price 50,000 + 35% of 50,000

• = 50,000 +17500 = Rs. 67500

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Now, selling price of 30 chairs = Rs. (67500 15000) = ₹ 52500

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Hence, Selling price of 1 chair =

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: \frac{52500}{30}=₹1750 }} }\\ \\\end{gathered}\end{gathered}$