Correct Answer - Option 1 : 100/9
GIVEN:
An article passing through two sellers is sold at a profit of 50% at the original cost price. The first seller makes a profit of 35%.
CONCEPT:
Basic concept of Profit and Loss.
CALCULATION:
Let the actual cost price of the article be x.
Then, the final selling price of the article after passing through both the sellers
= (1 + 50/100)x = 1.5x
Now, we know the profit % made by the first seller is 35%.
Let the profit percent made by the second seller be y%.
So,
The selling price by the first seller to the second seller = (1 + 35/100)x = 1.35x
The selling price by the second seller = (1 + y/100) × (1.35x)
Hence,
(1 + y/100) × (1.35x) = 1.5x
⇒ 1 + y/100 = 150/135
⇒ y/100 = 15/135
⇒ y = 100/9