Questions & Answers

Question

Answers

A. The amount of Sales Tax a customer has to pay = Rs.3,164.08

B. The amount of Sales Tax a customer has to pay = Rs.3,214.08

C. The amount of Sales Tax a customer has to pay = Rs.3,355.08

D. The amount of Sales Tax a customer has to pay = Rs.3,572.08

Answer
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Hint: First of all, find the discount price given by the shopkeeper and then find the sale price by removing the price of off-season discount from the remaining price after reducing the discount price given by the shopkeeper. Then find 8% of the sale price which is the required amount of Sales Tax which has to be paid by a customer.

__Complete step-by-step answer:__

Given list price of a computer set = Rs.45,000

Discount given by shopkeeper = 7%

Discount price = 7% of Rs.45,000

\[ = \dfrac{7}{{100}} \times 45000 = Rs.3,150\]

So, the price after discount = list price – discount price

= Rs.45,000 – Rs.3,150

= Rs.41,850

And the shopkeeper gave off-season discount of 4%

Off-season discount price = 4% of Rs.41,850

\[ = \dfrac{4}{{100}} \times 41850 = Rs.1,674\]

So, the sale price after off-season discount = discount price – off-season discount price

= Rs.41,850 – Rs.1.674

= Rs.40,176

Now, the customer has to pay a Sales Tax of 8%.

So, 8% of Rs.40,176 \[ = \dfrac{8}{{100}} \times 40176 = Rs.3,214.08\]

Thus, the amount of Sales Tax a customer has to pay is Rs.3,214.08

Hence the correct option is B. The amount of Sales Tax a customer has to pay = Rs.3,214.08

Note: \[x\% \] of \[y\] is given by \[\dfrac{x}{{100}} \times y\]. Most of the students tend to do wrong by calculating the final sale price by subtracting the amount of discount price and off-season price from the listed price at a time. So, don’t make such types of mistakes.

Given list price of a computer set = Rs.45,000

Discount given by shopkeeper = 7%

Discount price = 7% of Rs.45,000

\[ = \dfrac{7}{{100}} \times 45000 = Rs.3,150\]

So, the price after discount = list price – discount price

= Rs.45,000 – Rs.3,150

= Rs.41,850

And the shopkeeper gave off-season discount of 4%

Off-season discount price = 4% of Rs.41,850

\[ = \dfrac{4}{{100}} \times 41850 = Rs.1,674\]

So, the sale price after off-season discount = discount price – off-season discount price

= Rs.41,850 – Rs.1.674

= Rs.40,176

Now, the customer has to pay a Sales Tax of 8%.

So, 8% of Rs.40,176 \[ = \dfrac{8}{{100}} \times 40176 = Rs.3,214.08\]

Thus, the amount of Sales Tax a customer has to pay is Rs.3,214.08

Hence the correct option is B. The amount of Sales Tax a customer has to pay = Rs.3,214.08

Note: \[x\% \] of \[y\] is given by \[\dfrac{x}{{100}} \times y\]. Most of the students tend to do wrong by calculating the final sale price by subtracting the amount of discount price and off-season price from the listed price at a time. So, don’t make such types of mistakes.

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