To find the rate of cash discount offered by the shopkeeper, we can follow these steps:

Step 1: Identify the given information.

• Marked Price (MP) of the TV set = ₹12,000
• Discounted Price (SP) when paid in cash = ₹11,490

Step 2: Calculate the actual discount.

The actual discount is the difference between the Marked Price (MP) and the Selling Price (SP): $\text{Discount} = \text{MP} - \text{SP}$ $\text{Discount} = 12,000 - 11,490 = ₹510$

Step 3: Calculate the discount rate.

The discount rate is the percentage of the Marked Price that was deducted as a discount. The formula for the discount rate is: $\text{Discount Rate} = \left(\frac{\text{Discount}}{\text{MP}}\right) \times 100$ Substitute the values: $\text{Discount Rate} = \left(\frac{510}{12,000}\right) \times 100$ $\text{Discount Rate} = \left(0.0425\right) \times 100 = 4.25\%$

Final Answer:

The cash discount offered by the shopkeeper is 4.25%.

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Would you like more details or further clarification?

Here are 5 related questions to deepen your understanding:

1. How do you calculate the percentage discount if you are given only the discount rate?
2. What would be the new price if the cash discount was 5% instead?
3. How do you calculate a markup percentage if given the cost price and selling price?
4. What is the difference between percentage markup and percentage discount?
5. How would the calculation change if taxes were included in the final price?

Tip:

Always double-check if the discount is based on the marked price or another price (like the selling price), as this changes the discount rate calculation.