Question

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.

A. 25%
B. 20%
C. 15%
D. 10%

Answer 1

The percentage profit earned by the third seller is 10%.

Step-by-step explanation:

In this problem, we are given that the price of a jewel passes through three hands and rises on the whole by 65%.

We are also told that the first and second sellers earn 20% and 25% profit respectively.

To find the percentage profit earned by the third seller, we can start by calculating the original price of the jewel.

Let's assume the original price of the jewel is $x. After the first seller's 20% profit, the price becomes 1.2x. After the second seller's 25% profit, the price becomes (1.2x) * 1.25 = 1.5x.

Finally, after the third seller's profit, the price becomes 1.5x * (1 + p) = 1.65x, where p is the percentage profit earned by the third seller.

Now we can solve for p:

1.65x = 1.5x * (1 + p)

1.65 = 1.5 + 1.5p

0.15 = 1.5p

p = 0.15/1.5 = 0.10 = 10%

Therefore, the percentage profit earned by the third seller is 10%.

So, the correct answer is D. 10%.