by selling a chair for Rs 420 a dealer suffered a loss of 16% . At what price should he sell it to gain 20%?
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Answer:
Hence, at Rs. 600 should he sell the chair to gain 20%.
Step-by-step explanation:
Given that,
Selling Price(S.P.) of a chair = Rs.420
Loss% = 16%
Therefore,
Cost Price(C.P.) = (S.P. × 100) / (100 - loss%).
= (420 × 100) / (100 - 16)
= 42000 / 84
C.P. = Rs.500
Now,
C.P. of the chair = Rs.500
Gain% = 20%
S.P. = {C.P. × (100 + g%)} / 100
={500 × (100 + 20)} / 100
=(500 × 120) / 100
= 60000 / 100
S.P. = Rs.600
Hence, at Rs. 600 should he sell the chair to gain 20%.
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