A shopkeeper offers 2.5% discount on cash purchases What cash amount would Rohan pay for a cycle, the marked price of which is Rs.650?

Options

A. Rs.631.25
B. Rs.633.75
C. Rs.632
D. Rs.635

Answer

To find out the cash amount Rohan would pay for the cycle after a discount, we can follow these steps:

### Step 1: Identify the Marked Price (MP) and Discount Rate
- The marked price of the cycle is given as Rs. 650.
- The discount offered is 2.5%.

### Step 2: Calculate the Discount Amount
To find the discount amount, we can use the formula:
\[ \text{Discount Amount} = \left( \frac{\text{Discount Rate}}{100} \right) \times \text{Marked Price} \]
Substituting the values:
\[ \text{Discount Amount} = \left( \frac{2.5}{100} \right) \times 650 \]
Calculating this:
\[ \text{Discount Amount} = 0.025 \times 650 = 16.25 \]

### Step 3: Calculate the Final Amount to be Paid
Now, we subtract the discount amount from the marked price to find out how much Rohan will pay:
\[ \text{Final Amount} = \text{Marked Price} - \text{Discount Amount} \]
Substituting the values:
\[ \text{Final Amount} = 650 - 16.25 \]
Calculating this:
\[ \text{Final Amount} = 633.75 \]

### Conclusion
Thus, the cash amount Rohan would pay for the cycle is **Rs. 633.75**.

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