Question

How many rupees are to be paid to get \[18\%\] rebate on a product costing 10,900?
A. IRs.8938
B. Rs.8970
C. Rs.8978
D. Rs.9838

Answer 1

Hint: In this problem, we have to find how many rupees are to be paid to get \[18\%\] rebate on a product costing 10,900. We know that the given marked price is Rs.10,900. Here we have \[18\%\]rebate. We know that \[\text{Cost = M}\text{.P}-18\%\text{ of MP}\]. We can substitute the given values in this formula and convert the percentage into fraction and simplify them to get the cost of it.

Complete step by step answer:
Here we have to find how many rupees are to be paid to get \[18\%\] rebate on a product costing 10,900.
We can see that the given marked price is Rs.10,900.
We are also given that the rebate is \[18\%\].
We know that the formula with the marked price and rebate to find the cost is,
\[\text{Cost = M}\text{.P}-18\%\text{ of MP}\]
We can now substitute the given values in the above formula, we get
\[\Rightarrow \text{Cost}=10,900-18\%\text{ }\times \text{10900}\]
We can now convert the given percent into fraction.
We know that percent means per hundred, so we can write it as,
\[\Rightarrow \text{Cost}=10,900-\dfrac{18}{100}\times 10,900\]
We can now simplify the above step, we get
\[\Rightarrow \text{Cost}=10900-18\times 109=8938\]

So, the correct answer is “Option A”.

Note: We should always remember that the formula with the marked price and rebate to find the cost is \[\text{Cost = M}\text{.P}-18\%\text{ of MP}\]. We should know that the percentage can be converted into fraction by dividing 100 to the given number as percentage means ‘per hundred’.