Question

a man sells an article at a gain of 5% if he had sold it at rupees 63 less he would have lost 2% find the cost of the article​

Answer 1

Answer:

Rs. 900.

Step-by-step explanation:

Let the CP be x.

Case 1

Gain = 5%.

CP = x.

SP = (1+ r/100)CP

=> SP = (1+ 5/100)x

=> SP =(1+ 1/20)x

=> SP = (21/20)x.

Case 2

Loss = 5%.

CP = x.

SP = (1- r/100)CP

=> SP = (1- 2/100)x

=> SP = (1- 1/50)x

=> SP = (49/50)x.

A/Q,

(21/20)x - (49/50)x = 63

=> (105x - 98x)/100 = 63

=> 7x/100 = 63

=> 7x = 63 × 100

=> x = 6300/7

=> x = 900.

Therefore, cost of the article is Rs. 900.

Used Abbreviations

CP = Cost Price.

SP = Selling Price.

r = Loss/Profit %.

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Answer 2

REFFER TO THE ATTACHMENT

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