Question

When an article os sold for 50 their is certain loss if it is sold for 68 the gain is half of th loss find the costprice?

Answer 1

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Answer 2

Answer:

The cost price is Rs.62

Step-by-step explanation:

Let consider cost price = x

When the selling price is 50 the loss = x - 50 (Loss = C.P -S.P)

When the selling price is 68 the gain = 68 - x (Profit = S.P - C.P)

Gain = Half of the loss = Loss/2

= 68 - x = x - 50/2

= 2 (68 - x) = x - 50 (Cross mutiply)

= 136 - 2x = x - 50

= -2x - x = -50 + 136 (Like terms)

= 3x = 186

Therefore, x = 186/3

x = 62

The cost price is Rs.62.

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