Question

An article passing through two sellers is sold at a profit of 50% at the original cost price. If the first seller makes a profit of 35%, then the profit percent made by the second is?
1. 100/9
2. 200/9
3. 50/9
4. 25/9

Answer 1

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