Abhinav saves ₹ 25 by getting `6.66%` discount on a textbook. What is the amount of money (in ₹) paid by him?

Options

A. 450
B. 350
C. 225
D. 375

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the discount percentage
Abhinav saves ₹25 by getting a discount of 6.66% on the textbook. We can express 6.66% as a fraction for easier calculations:
\[ 6.66\% = \frac{20}{3}\% \]

### Step 2: Convert the discount percentage to a decimal
To convert the percentage to a decimal, we divide by 100:
\[ \frac{20}{3} \div 100 = \frac{20}{300} = \frac{1}{15} \]

### Step 3: Relate the discount to the cost price (CP)
Let the cost price (CP) of the textbook be \( x \). The discount amount can be expressed as:
\[ \text{Discount} = \frac{1}{15} \times x \]

### Step 4: Set up the equation for the discount
Since we know that the discount amount is ₹25:
\[ \frac{1}{15} \times x = 25 \]

### Step 5: Solve for the cost price (CP)
To find \( x \), multiply both sides of the equation by 15:
\[ x = 25 \times 15 \]
Calculating this gives:
\[ x = 375 \]

### Step 6: Calculate the amount paid by Abhinav
The amount paid by Abhinav after the discount is:
\[ \text{Amount Paid} = \text{CP} - \text{Discount} \]
Substituting the values we have:
\[ \text{Amount Paid} = 375 - 25 = 350 \]

### Final Answer
Thus, the amount of money paid by Abhinav is ₹350.

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