Suha sold a watch at a gain of 5% to Subha and Subha sold it to Aurin at a gain of 4%. If Aurin paid BDT 91 for it. Then the price paid by Suha is-

Question: Suha sold a watch at a gain of 5% to Subha and Subha sold it to Aurin at a gain of 4%. If Aurin paid BDT 91 for it. Then the price paid by Suha is-

Solution:
Let the price paid by Suha be x BDT.

Suha sold it to Subha at a 5% gain.
So, price for Subha = x + 5% of x = 1.05x

Subha sold it to Aurin at a 4% gain.
So, price for Aurin = 1.05x + 4% of 1.05x
⇒ Price for Aurin = 1.05x × 1.04

According to the question,
1.05x × 1.04 = 91
⇒ 1.092x = 91
⇒ x = 91/1.092
⇒ x = 83.333...
∴ The price paid by Suha is 83.33 BDT.

Correct Answer: খ) 83.33