A man bought goods worth ₹6,000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole?

Question

Question

This question was previously asked in

Haryana CET Previous Year Paper (Held On: 6 Nov 2022 Shift 2)

Answer 1

Given :

CP = Rs 6000

Solution :

Let assume that the man purchased 6000 items in Rs 6000.

Now according to the question :

The man sold half of the items i.e. 3000 items at 10% profit.

i.e. Selling price = ( 3000 × 110 )/100

⇒ Rs 3300

Now Required complete Profit is of 25 %.

Hence Total Selling price should be = ( 6000 × 125 ) / 100

⇒ Rs 7500

We come to know that to gain a total profit of 25% the man would sell the rest items ( 3000 items ) in Rs. ( 7500 - 3300 )

⇒ i.e. Rs 4200

Profit = 4200 - 3000 = 1200

Now required profit % = [ ( Profit ) / CP } ] × 100

⇒ (1200 / 3000) × 100

⇒ 40%

Hence the correct answer is "40%".