By selling an article for Rs.390, a shopkeeper suffers some loss. Had he sold it for Rs. 444, he would have earned a profit equal to one - fifth of the loss he had in the earlier case. If he sells it for Rs.522, what will be his profit percentange?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20%.
Let the loss suffered initially be L.
When SP = 390, CP = 390 + L
When SP = 444, profit = L/5
And CP = 444 - L/5
Now equating the expressions,
390 + L = 444 - L/5
⇒ 6L/5 = 54
⇒ L = 45
CP = 390 + 45
⇒ CP = 435
Required percentage = [(522 - 435)/435] × 100
⇒ 100 × 87/435 = 20%