On purchase of articles worth Rs. 10,000, a shopkeeper offers a flat discount of Rs. 500 to his customers. Further, by shopping using a credit card, he gives an additional discount of 7%. If a customer purchases article worth Rs.10000 using a credit card, then how much is he/she required to pay?
Rs. 8,835
Let's break down the calculation for the customer's final payment, considering the different discounts offered by the shopkeeper.
Understanding the Shopkeeper's Discounts
The shopkeeper offers two types of discounts on purchases worth Rs. 10,000:
- A flat discount applied directly to the initial purchase value.
- An additional discount specifically for customers using a credit card.
We need to apply these discounts step-by-step to find the final amount the customer pays.
Calculating Price After Flat Discount
The initial purchase amount is Rs. ${10,000}$.
The shopkeeper offers a flat discount of Rs. ${500}$ on this purchase.
To find the price after the flat discount, we subtract the flat discount amount from the initial purchase amount.
Price after flat discount = Initial Purchase Amount - Flat Discount
Price after flat discount = Rs. ${10,000}$ - Rs. ${500}$ = Rs. ${9,500}$.
Applying the Credit Card Discount
After the flat discount, the effective price is Rs. ${9,500}$.
An additional discount of ${7\%}$ is given for using a credit card. This discount is applied to the price *after* the flat discount, which is Rs. ${9,500}$.
Let's calculate the amount of the credit card discount:
Credit Card Discount Amount = ${7\%}$ of Price after flat discount
Credit Card Discount Amount = ${7\% \times 9500}$
Credit Card Discount Amount = ${\frac{7}{100} \times 9500}$
Credit Card Discount Amount = ${7 \times 95}$
Credit Card Discount Amount = Rs. ${665}$.
Calculating the Final Payment
The customer needs to pay the price after the flat discount, minus the credit card discount.
Final Payment Amount = Price after flat discount - Credit Card Discount Amount
Final Payment Amount = Rs. ${9,500}$ - Rs. ${665}$
Final Payment Amount = Rs. ${8,835}$.
Therefore, the customer is required to pay Rs. ${8,835}$.
Summary of Discount Calculation
Here is a step-by-step summary of the calculation:
| Description | Amount (Rs.) | Calculation |
|---|---|---|
| Initial Purchase Value | 10,000 | Given |
| Flat Discount | 500 | Given |
| Price after Flat Discount | 9,500 | ${10,000 - 500}$ |
| Credit Card Discount Rate | 7% | Given |
| Credit Card Discount Amount | 665 | ${7\% \times 9,500}$ |
| Final Amount to Pay | 8,835 | ${9,500 - 665}$ |
Revision Table: Understanding Discounts
| Discount Type | How it's Applied | Example |
|---|---|---|
| Flat Discount | A fixed amount subtracted from the original price. | Rs. 500 off on a Rs. 10,000 purchase. |
| Percentage Discount | A percentage of a price subtracted from that price. This price could be the original price or a price after previous discounts. | 7% off on the price after the flat discount. |
Additional Information: Calculating Discounts
When multiple discounts are applied, the order usually matters, especially if one is a percentage discount. In this problem, the flat discount is applied first, reducing the price to Rs. 9,500. Then, the percentage discount is calculated on this reduced price, not the original Rs. 10,000.
Steps for successive discounts:
- Calculate the price after the first discount.
- Use this new price as the base for calculating the second discount amount.
- Subtract the second discount amount from the price after the first discount to get the final price.
This is a common way discounts are applied in real-world retail scenarios.
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