11. By selling a chair for + 420 a dealer suffered a loss of 16%, At what price should he sell it to gain 20%?
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Answer:
Rs 600
Step-by-step explanation:
let cost price of chair be x
loss = 16% of C.P
= 16% of x
= 16x/100
= 4x/25
Sales price = Cost Price - loss
420 = x - (4x/25)
420 = (25x - 4x) / 25
(420 × 25)/21 = x
x = 500
Cost price of chair = 500
To calculate sales price for gain of 20%
Sales Price = Cost Price + 20% of cost Price
= 500 + (20/100) × 500
= 500 + 100 = 600
Hence to make gain of 20% , dealer should sell it for Rs 600.
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