# A shopkeeper buys 180 pens at a rate of Rs. 120 per pen and he spent Rs. 2160 in transportation and packaging. He set the mark price of each pen at Rs

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A shopkeeper buys 180 pens at a rate of Rs. 120 per pen and he spent Rs. 2160 in transportation and packaging. He set the mark price of each pen at Rs. 150 and gave 4% dicount on each pen. Find the overall percentage gain.

1. 8.09%
2. 11%
3. 9.09%
4. 10%

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Correct Answer - Option 3 : 9.09%

Given:

Total number of pens = 180

Rate of a pen = Rs. 180 per pen

Expenditure on Transportation and packaging = Rs. 2160

Marked price of each pen = Rs. 150

Discount = 4%

Formula used:

Profit% = (Profit/CP) × 100%

SP = MP × [(100 – Discount%)/100]

Calculation:

Cost of 180 pens = Rs. (180 × 120)

⇒ Rs. 21600

Total cost = Rs. (21600 + 2160)

⇒ Rs. 23,760

Marked price of 180 pens = Rs. (150 × 180)

⇒ Rs. 27000

SP = RS. 27000 × (96/100)

⇒ Rs. 25,920

Gain = Rs. (25,920 – 23,760)

⇒ Rs. 2160

Gain% = Rs. (2160/23,760) × 100%

⇒ 9.09%

∴ The overall gain percentage is 9.09%