A person loses 15 percent on selling 50 shoes for Rs. 85. What should be the selling price of 50 shoes to earn a profit of 35 percent?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 135.
S.P. = C.P. × (1 − Loss %/100)
⇒ 85 = C.P. × (1 - 15/100)
⇒ 85 = C.P. × 0.85
⇒ C.P. = 85/0.85 = 100
Thus, the cost price of 50 shoes is Rs. 100.
the selling price (S.P.) for a 35% profit = C.P. × (1 + Profit %/100)
⇒ S.P. = 100 × (1 + 35/100)
⇒ S.P. = 100 × 1.35 = 135