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Question
The table shows the cost of sunscreen of two brands with and without sales tax. Which brand has a greater sales tax rate? Give the sales tax rate of each brand.
| Cost (in Rs) |
Cost + Tax (in Rs) |
|
| 1. X (100 gm) | 70 | 75 |
| 2. Y (100 gm) | 62 | 65 |
Solution
Given, Brand X sunscreen cost = Rs. 70
With sales tax it is Rs. 75
Also, Brand Y sunscreen cost = Rs. 62
With sales tax it is Rs. 65
⇒ Sales Tax paid for brand X = 75 – 70 = Rs. 5
⇒ Sales Tax paid for brand Y = 65 – 62 = Rs. 3
Hence, brand X has greater sales tax rate.
Now, Sales Tax = `("Total cost" - "Cost")/"Cost" xx 100`
⇒ Sales tax for brand X = `5/70 xx 100`
= `500/70`
= `50/7`
= 71.4%
⇒ Sales tax for brand Y = `3/62 xx 100`
= `300/62`
= 4.838
= 4.84%
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