Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.
Answer
Answer (as printed):
Explanation
Let the original price of the jewel be ₹P and let the profit earned by the third seller be x%. Then, (100 + x)% of 125% of 120% of P = 165% of P $\Rightarrow \frac{(100+x)}{100} \times \frac{125}{100} \times \frac{120}{100} \times P = \frac{165}{100} \times P \Rightarrow (100+x) = \frac{165 \times 100 \times 100}{125 \times 120} = 110 \Rightarrow x = 10\%$.
Explanation as extracted from the printed page; notation may be imperfect.