Question

A man bought goods worth rs 6000 and sold half of them at a gain of 10% at what gain percent must he sell the remainder to get a gan 25% on the whole

Answer 1

Let the required gain  percent be  x%

Then , (110% of 3000) + [(100 + x)%  of 3000] =  125%  of 6000

⇒   (110100×3000)+[(100+x)100×3000]= 125100×6000

⇒  30(100+x)= 4200     ⇒ 100+x = 140    ⇒  x =  40%.

Answer 2

According to the question:-

A man bought goods worth = rs. 6000

Sold half of the goods at 10% profit.

Sold whole goods at 25% profit.

Let x be the percentage of the half goods profit.

Half goods worth = rs. 3000

According to the above information

⇒ (10% of 3000) + (x% of 3000) = (25% of 6000)

⇒ $300 + 30x = 1500$

⇒ $30x = 1500 - 300$

⇒ $30 x = 1200$

⇒$x = \frac{1200}{30}$

⇒$x = 40$

He sells the remaining goods at 40% profit to get 25% profit on whole goods.

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