Question

. A man sold an article at a loss of 20%. If he had sold it for 50 more, he would have gained 5%. What is the cost price of the article?
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Answer 1

Answer:

5%

Step-by-step explanation:

Let the cost of the article be 100X

20% loss

Selling price = 80X

80X +50 = 105X

25X =50

X =2

100x = 200 ANSWER

CHECK

Cost 200

loss 20% , selling price = 160

160+50 =210

210–200 =10

10/200 x 100= 5%

Answer 2

Answer:

Step-by-step explanation:

let, the C.P of the article is Rs. x

=> the S.P of the article is Rs. 8x/10 [ loss is 20% given ]

according to problem,

   8x/10 + 50 - x = x/20 [ profit is 5% given ]

=> 8x/10 - (x+x/20) = -50

=> 8x/10 - 21x/20 = -50

=> -5x/20 = -50

=> 5x=1000

=> x=200

=> the C.P of the article is Rs. 200