Question

The price of a VCR is marked as \[Rs12000\]. If successive discounts of \[15\% \],\[10\% \] and \[5\% \] be allowed, then at what price does a customer buy it?
A. \[Rs.8400\]
B. \[Rs.8721\]
C. \[Rs.8856\]
D. none of these

Answer 1

Hint: Here, we are going to use the formula for the discount. Discount is a kind of reduction or deduction in the cost price of a product.

Complete step-by-step answer:
Given, the marked price of the VCR is \[Rs12000\] and the successive discounts on the VCR are \[15\% \],\[10\% \] and\[5\% \]
We know, the discount on a product is equal to discount % \[ \times \] marked price
\[ \Rightarrow \] First discount=\[\dfrac{{15}}{{100}} \times 12000\]=\[1800\]
Now the selling price is given by marked price - the discount
\[ \Rightarrow \] the price after \[15\% \] is given by \[12000 - 1800 = 10200\]
The second discount of \[10\% \]=\[\dfrac{{10}}{{100}} \times 10200 = 1020\]
\[ \Rightarrow \] the price after\[10\% \] is given by\[10200 - 1020 = 9180\]
The third discount of \[5\% \]=\[\dfrac{5}{{100}} \times 9180 = 459\]
\[ \Rightarrow \] the price after\[5\% \] is given by \[9180 - 459 = 8721\]
Therefore, the customer buys it at \[Rs.8721\].hence, option B. \[Rs.8721\] is the required solution.

Note: The marked price changes after every discount. It is mostly used in consumer transactions, where people are provided with discounts on various products.