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A news paper publisher printed 4000 copies of "times of india" at a cost of Rs. 3000. He gave 1000 copies free to different technical institutions. He allowed a discount of 20%. on the published price and gave a copy free for every 20 copies bought at a time. He was able to sell all the copies in his manner. If the published price is Rs 4 per copies, then what is his over all profit or loss percentage in the whole transaction? 

A news paper publisher printed 4000 copies of "times of india" at a cost of Rs. 3000. He gave 1000 copies free to different technical institutions. He allowed a discount of 20%. on the published price and gave a copy free for every 20 copies bought at a time. He was able to sell all the copies in his manner. If the published price is Rs 4 per copies, then what is his over all profit or loss percentage in the whole transaction?  Correct Answer 204.76% Profit

Given:

A news paper publisher printed 4000 copies of "times of india" at a cost of Rs. 3000.

He gave 1000 copies free to different technical institutions. He allowed a discount of 20%.

Formula used:

Profit percentage = (selling price – cost price)/cost price × 100

Calculation:

The cost price of 4000 copies = Rs. 3000

The publisher price per copies = Rs. 4

After the discount of 20% The selling price of per copy

⇒ 4 × (100 – 20)/100

⇒ Rs. 3.2 

He gave 1000 copies free to different technical institutions.

⇒ 4000 – 1000

⇒ 3000

Number of free copy for every 20 copy bought at a time

⇒ 3000/(20 + 1)

⇒ 142.85

He gave 1000 copies free to different technical institutions.

Total number of free copies = 142.85 + 1000

⇒ 1142.85

Total selling of copy on Rs. 3.2 = 4000 – 1142.85

⇒ 2857.14

Total selling price of 2857.14 copies 

⇒ 2857.14 × 3.2

⇒ Rs. 9142.85

Total profit = 9142.85 – 3000

⇒ Rs. 6142.85

In profit percentage = (6142.85/3000)× 100

⇒ 204.76%

∴ His over all profit percentage in the whole transaction is 204.76%.

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