Question

Rakesh purchased a car which was quoted at Rs 256000 . The dealer charged sales tax on it at the rate of $12 \%$. As Rakesh wanted to take the car outside the state, the dealer further charged $3 \%$ extra as Central Sales Tax. What is the amount he had to pay for the car? (1) Rs 295123.60 (2) Rs 286720 (3) Rs 294400 (4) None of these

Name: Problem 7, Chapter 23: The IIT Foundation series of Mathematics Class
Uploaded: 2021-06-30T19:32:59-08:00
Duration: 2 min 21 s
Channel: Anas Venkitta
Description: Rakesh purchased a car which was quoted at Rs 256000 . The dealer charged sales tax on it at the rate of 12 %. As Rakesh wanted to take the car outside the state, the dealer further charged 3 % extra as Central Sales Tax. What is the amount he had to pay for the car? (1) Rs 295123.60 (2) Rs 286720 (3) Rs 294400 (4) None of these

   Rakesh purchased a car which was quoted at Rs 256000 . The dealer charged sales tax on it at the rate of $12 \%$. As Rakesh wanted to take the car outside the state, the dealer further charged $3 \%$ extra as Central Sales Tax. What is the amount he had to pay for the car?
(1) Rs 295123.60
(2) Rs 286720
(3) Rs 294400
(4) None of these

The IIT Foundation series of Mathematics Class

Trishna Knowledge… 5th Edition

Chapter 23, Problem 7

Instant Answer

Solved by Expert Anas Venkitta

06/30/2021

Step 1

The sales tax is 12% of the quoted price of the car. So, we calculate 12% of Rs 256000. \[Sales\ Tax = \frac{12}{100} \times 256000 = Rs 30720\] Show more…

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Rakesh purchased a car which was quoted at Rs 256000 . The dealer charged sales tax on it at the rate of $12 \%$. As Rakesh wanted to take the car outside the state, the dealer further charged $3 \%$ extra as Central Sales Tax. What is the amount he had to pay for the car? (1) Rs 295123.60 (2) Rs 286720 (3) Rs 294400 (4) None of these

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Key Concepts

Aggregating Multiple Percentage Increases

In situations where multiple percentage-based charges are applied to a base price, the individual percentages can be summed to form a total percentage rate when each is calculated on the same base. This aggregated approach simplifies the computation of the overall increase on the original amount.

Percentage Calculations

This concept involves converting a percentage into its decimal form and then multiplying it by a base value to determine an incremental amount. It is a fundamental method used across mathematics and finance for determining increases, decreases, or portions of a total amount.

Sales Tax

Sales tax is an additional cost applied to the base price of goods or services, expressed as a percentage. Calculating sales tax is essential in determining the final purchase price and understanding how tax collections function in commerce.

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