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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, then what is the profit earned by the third seller?

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5 %

10 %

15 %

20 %

answer is B.

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Detailed Solution

Given,
The prices of jewel raised by 65%.
Let the original price of the jewel be Rs.

P

and the profit earned by the third seller be

c %

Selling Price of 1st seller,

⇒ R s . 120100 × P = C . P .

of 2nd seller
Selling Price of 2nd seller

⇒ R s . 125100 × 120 P 100 = C . P .

of 3rd seller
Selling Price Of 3rd seller

= R s . 100 + c 100 × 125100 × 120 P 100

According to the given condition,
⇒

100 + c 100 × 125100 × 120 P 100 = 165 P 100

⇒

100 + c = 23 × 165 ​ ​ ​ ​ =110

⇒

⇒ c = 110 − 100 ⇒ c = 10 %

Hence, the profit earn by the seller is 10%.
Hence, the correct option is 2.

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