What is the percentage of profit if the purchase price of 12 pencils is equal to the selling price of 10 pencils?

Correct Answer - Option 1 : 20%

Given:

Cost price of 12 pencil = selling price of 10 pencil

Calculation:

Let selling price be SP and cost price be CP of one pencil.

CP × 12 = SP × 10

SP/CP = 12/10 = 6/5

SP - CP = P

So, P/CP = (6 - 5)/5 = 1/5

Profit percentage = P/CP × 100 = (1/5) × 100 = 20%.

∴ The gain percentage is 20%.

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Aptitude miscellaneous

1. If the cost price of 12 pencils is equal to sale price of 10 pencils, then find the gain or loss as a percentage of the sell price ?

1. 1. 20% gain
   2. 10% gain
   3. 20% gain
   4. 15% loss

Correct Option: A

CP of 12 pencils = Rs. 12
∴ SP of 10 pencils = Rs.12
⇒ SP of 12 Pencils = (12/10) x 12 = Rs.14.40
∴ Gain per cent = {(14.40 - 12)/12} x 100 = 20%

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Solution

SP of 10 pencils = CP of 11 pencils Let CP of each pencil be rs.1 So, CP of 10 pencils = Rs.10 SP of 10 pencils = Rs.11 SP is greater than CP So, there is a profit. Profit=11-10=rs.1 Profit per cent = ProfitCP×100 =1×10010=10%

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