Question

14) An article being sold at gain of 20% if it
Sold at a loss of 5% it would fetch Rs.250
less than what it would have fetched at the
Original Selling price . find the cost price of article?

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Answer 1

Answer:

Profit/Loss = Sales Price - Cost Price……..1

Profit/Loss % = (profit/loss)/Cost price *100……2

now lets start with first part..there is 20% loss by selling an article

therefore the SP = 0.8 * CP

now new SP = SP+ 50 = 08. *CP + 50

use equation 1

profit = 0.8 * CP + 50 -CP = (50- 0.2 *CP)

use the same in equation 2

profit % = (50–0.2 CP)/ CP * 100 = 5

solving this

5000–20 * CP = CP*5

5000 = 25* CP

CP = 200