A shop keeper sold an articles at four - fifth of the marked price and suffered a loss 3 %. Find the profit percent , if he sold the article at the marked price . (correct to nearest integer )
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 21
Let's assume the marked price of the article = Rs 100
So, selling price of the article = 100 × (4/5) = Rs 80
Loss = 3% = 3.33%
CP = SP × 100/(100 - loss%)
CP = 80 × 100/(100 - 3.33)
CP = Rs 82.75
According to the question if he sells the article on MRP then,
Profit % = {(SP - CP)/CP} × 100
= {(100 - 82.75)/82.75} × 100
= 1725/82.75 = 20.8%
= 21%