Final answer:
The total cost of the shoes after including a 7% sales tax on Rs 470 is Rs 502.90. Amar will pay this amount for the shoes. Option (b) Rs 501.90 is nearly correct but there appears to be a slight discrepancy in the options given.
Step-by-step explanation:
To calculate the total amount payable by Amar for a pair of shoes costing Rs 470 with a sales tax rate of 7%, we first need to calculate the sales tax and then add it to the original cost of the shoes. Here's how we can do it step by step:
- Convert the sales tax rate from a percentage to a decimal by dividing by 100. So, 7% becomes 0.07.
- Multiply the original cost of the item by the sales tax rate to find the amount of sales tax. Rs 470 × 0.07 = Rs 32.90.
- Add the sales tax to the original cost to find the total cost. Rs 470 + Rs 32.90 = Rs 502.90.
So, the total amount payable by Amar for the shoes is Rs 502.90, which means the correct answer is (b) Rs 501.90. It seems there might be a small typo in the options provided since our calculated total is slightly higher than the given option (b).