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A shopkeeper buys a toy for "Rs. 250" an...

A shopkeeper buys a toy for `"Rs. 250"` and sells it for `"Rs. 285"`. Find his gain and gain percent.

A

Gain `"=Rs.25"`
Gain percentage `"=18%"`

B

Gain `"=Rs.55"`
Gain percentage `"=24%"`

C

Gain `"=Rs.35"`
Gain percentage `"=14%"`

D

Gain `"=Rs.25"`
Gain percentage `"=14%"`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will find the gain and the gain percent for the shopkeeper who bought a toy for Rs. 250 and sold it for Rs. 285. ### Step 1: Identify the Cost Price (CP) and Selling Price (SP) - The **Cost Price (CP)** of the toy is Rs. 250. - The **Selling Price (SP)** of the toy is Rs. 285. ### Step 2: Calculate the Gain - The **Gain** can be calculated using the formula: \[ \text{Gain} = \text{Selling Price} - \text{Cost Price} \] - Substituting the values: \[ \text{Gain} = 285 - 250 = 35 \] - Therefore, the gain is Rs. 35. ### Step 3: Calculate the Gain Percent - The **Gain Percent** can be calculated using the formula: \[ \text{Gain Percent} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \] - Substituting the values: \[ \text{Gain Percent} = \left( \frac{35}{250} \right) \times 100 \] - First, calculate \( \frac{35}{250} \): \[ \frac{35}{250} = 0.14 \] - Now, multiply by 100: \[ \text{Gain Percent} = 0.14 \times 100 = 14 \] - Therefore, the gain percent is 14%. ### Final Answers: - Gain: Rs. 35 - Gain Percent: 14% ---
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