Question

The selling price of 12pens is equal to the cost price of 14 pens . Find the gain percent

Answer 1

Answer:

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Answer 2

The gain percentage  is 16.67

Explanation:

Given:

1. The selling price of 12pens is equal to the cost price of 14 pens

To find:

The gain per cent

Formula:

Profit = Selling Price - Cost Price

Loss = Cost price - Selling Price

Profit% =$\frac{Profit}{CP}\times100$

Loss% =  $\frac{loss}{CP}\times100$

Solution 1: Assume that the price of one pen is Rs.1

==> SP of 12 pen = CP of 14 pen

==>  1 pen = Rs.1

==> 14 pen = Rs.14

==> Cost Price of 14 pen is Rs.14

==> The selling price of 12 pen is Rs.14

==> SP of 12 pen  = Rs.14

==> CP of 14 pen = Rs.14

==> To find the SP of one pen

==> 12 pen = Rs.14

==> Divide by 12 on both sides

==> 12/12 pen = 14/12

==> 1 pen = Rs. 1.166

==> SP of 1 pen is Rs.1.1667

==> CP of 1 pen is Rs.1

==> SP>CP

==> Profit = SP-CP

==> Profit = 1.667 - 1

==> Profit = 0.667

==> Profit% =$\frac{Profit}{CP}\times100$

==> Profit% =$\frac{0.1667}{1}\times100$

==> profit% = 0.1667 × 100

==> Profit % = 16.67

The gain percentage is 16.67

Solution 2: Assume that the price of one pen is Rs.2

==>  1 pen = Rs.2

==> 14 pen = Rs.28

==> Cost Price of 14 pen is Rs.28

==> The selling price of 12 pens is Rs.28

==> SP of 12 pen  = Rs.28

==> CP of 14 pen = Rs.28

==> To find the SP of one pen

==> 12 pen = Rs.28

==> Divide by 12 on both sides

==> 12/12 pen = 28/12

==> 1 pen = Rs. 2.3333

==> SP of 1 pen is Rs.2.3333

==> CP of 1 pen is Rs.2

==> SP>CP

==> Profit = SP-CP

==> Profit = 2.33 - 2

==> Profit = 0.3333

==> Profit% =$\frac{Profit}{CP}\times100$

==> Profit% =$\frac{0.3333}{2}\times100$

==> profit% = 0.1667 × 100

==> Profit % = 16.67

The gain percentage is 16.67