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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)

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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
Sum
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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`

= 7.14%

⇒ Sales tax for brand Y = `3/62 xx 100`

= `300/62`

= 4.838

= 4.84%

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Chapter 9: Comparing Quantities - Exercise [Page 304]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 124. | Page 304
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