Question

The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain percent​

Answer 1

Question:

• The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain percent.

Answer:

Let the CP of 1 pen = ₹1

Then CP of 12 pens = ₹(1 × 12) = ₹12

SP of 12 pens = CP of 15 pens = ₹15

Thus, CP = ₹12 and SP = ₹15

Gain = SP - CP

= ₹(15 - 12)

= ₹3

Gain% $= \Big(\frac{Gain}{CP}\times 100\Big)\%$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = \Big(\frac{3}{12}\times 100\Big)\%$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = 25\%$

Hence, Gain% = 25%

Extra Information:

• Cost Price (CP): The price at which something is purchased is called it's CP.
• Selling Price (SP): The price at which something is sold is called it's SP.
• If SP > CP, then the seller has a gain.
• If SP < CP, then the seller has a loss.
• Formulas used in Profit and Loss:

1. Gain = SP - CP

2.Loss = CP - SP

3.Gain% = $\Big(\frac{Gain}{CP}\times 100\Big)\%$

4. Loss% = $\Big(\frac{Loss}{CP}\times 100\Big)\%$

5. SP (Gain) = $\left\{\frac{(100 + Gain\%)}{100}\times CP\right\}\%$

6.SP (Loss) = $\left\{\frac{(100 - Loss\%)}{100}\times CP\right\}\%$

7. CP (Gain) = $\left\{\frac{100}{(100 + Gain\%)}\times SP\right\}\%$

8. CP (Loss) = $\left\{\frac{100}{(100 - Loss\%)}\times SP\right\}\%$