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A shopkeeper marks his goods 20% above h...

A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. He gain percent is.

एक दुकानदार अपने माल की कीमत उसके लागत मुल्य से 20% अधिक अंकित करता है और उस पर 15% छूट देता है। तदनुसार, उसके लाभ का प्रतिशत कितना है?

A

`5%`

B

`4%`

C

`2%`

D

`1%`

Text Solution

AI Generated Solution

The correct Answer is:
To find the gain percentage of the shopkeeper, we will follow these steps: ### Step 1: Determine the Cost Price (CP) Let the cost price (CP) of the article be \( 100 \) (this is a convenient choice to simplify calculations). ### Step 2: Calculate the Marked Price (MP) The shopkeeper marks his goods 20% above the cost price. Therefore, the marked price (MP) can be calculated as follows: \[ MP = CP + 20\% \text{ of } CP = 100 + 0.20 \times 100 = 100 + 20 = 120 \] ### Step 3: Calculate the Selling Price (SP) The shopkeeper gives a 15% discount on the marked price. The selling price (SP) can be calculated as follows: \[ SP = MP - 15\% \text{ of } MP = 120 - 0.15 \times 120 = 120 - 18 = 102 \] ### Step 4: Calculate the Gain The gain can be calculated by subtracting the cost price from the selling price: \[ \text{Gain} = SP - CP = 102 - 100 = 2 \] ### Step 5: Calculate the Gain Percentage The gain percentage can be calculated using the formula: \[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{CP} \right) \times 100 = \left( \frac{2}{100} \right) \times 100 = 2\% \] ### Final Answer The gain percentage of the shopkeeper is \( 2\% \). ---
To find the gain percentage of the shopkeeper, we will follow these steps: ### Step 1: Determine the Cost Price (CP) Let the cost price (CP) of the article be \( 100 \) (this is a convenient choice to simplify calculations). ### Step 2: Calculate the Marked Price (MP) The shopkeeper marks his goods 20% above the cost price. Therefore, the marked price (MP) can be calculated as follows: \[ ...
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