Three - eighth of 320 chairs was sold at a profit of Rs. 50 each and the rest for Rs. 33600. If the seller makes a profit of 20 % on the whole transaction, what is the cost price of each of the chair?
Answers
Answer:
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Step-by-step explanation:
=> 120 chairs were sold at a profit of Rs. 50 each.
=> Profit on these 120 chairs = 6000.
=> S. P. of all 320 chairs = C. P. of 120 chairs + Profit on 120 chairs + S. P. of 200 chairs
= > (120 × C.P) + 6000 + 33600 = (120 × C. P.) + 39600
=> But these 320 chairs were sold at a profit of 20 %. S. P. = 1.2 × C.P
⇒ 320 × 1.2 × C.P = 120 × C. P. + 39600
⇒ 384 C.P = 120 C.P + 39600
⇒ C. P. = 150.
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120 chairs were sold at a profit of Rs. 50 each. Profit on these 120 chairs = 6000.
S. P. of all 320 chairs = C. P. of 120 chairs + Profit on 120 chairs + S. P. of 200 chairs
= (120 × C.P) + 6000 + 33600 = (120 × C. P.) + 39600
But these 320 chairs were sold at a profit of 20 %. S. P. = 1.2 × C.P
⇒ 320 × 1.2 × C.P = 120 × C. P. + 39600 ⇒ 384 C.P = 120 C.P + 39600 ⇒ C. P. = 150.