Question

The MRP of a colour television is Rs 18000 and initially a shopkeeper had offered a discount of 20% on MRP. While finally selling it to a customer, the shopkeeper offered an additional discount of 10% because of seasonal sale. Now, find the final price that the customer has to pay for his colour TV.
a) Rs. 12960
b) RS. 15773
c) Rs. 16222
d) Rs. 18100

Answer 1

Hint:We will find $\left( 100-20 \right)\%=80\%$ of cost price because shopkeeper has offered an initial discount of 20% on MRP, then we will find 90% of this price and not the MRP as this was an additional discount on the already discounted price, then this will give our required final price of the colour TV.

Complete step-by-step answer:
It is given in the question that the initial MRP of colour TV is Rs. 18000. But the shopkeeper offers a discount of 20% on this price, that is, on cost price. While the final deal was done, the shopkeeper added more than 10% discount because of seasonal sales. So, the price of colour TV after giving 20% off on MRP, we get $Rs.\dfrac{80}{100}\times 18000$ which comes equal to $Rs.14,400$.
Now, during the final sale the shopkeeper offers an additional discount of 10% on the already discounted price, therefore our new price will be 10% less on the price that was after the 20% discount.
In other words we have a discount of 20%+10% and not a collective of 30%. Thus we have to calculate the final price in two steps. First step, we have price as 80% of MRP and in second step, we have 90% of 80% of MRP.
Therefore our final price would come out to be 90% of the price that we get after already a 20% discount. Hence the final price = $Rs.90\%\text{ }of\text{ }Rs14400$, which is equal to
$Rs.\dfrac{90}{100}\times 14400=Rs.12960$.
Therefore the final price that a customer has to pay for his colour TV is Rs.12,960 and thus, option a) is correct.

Note: Student generally do mistake by add all the discount percentages together initially and then find the final cost of TV which is incorrect as, $70\%\text{ }of\text{ }18000$ is not equal to $90\%\text{ }of\text{ }\left( 80\%\text{ }of\text{ }18000 \right)$, that is, $\dfrac{70}{100}\times Rs.18000\ne Rs.12960$ or $Rs.12600\ne Rs.12960$. Due to this reason most of the discount sales during the festive season, or due to other discounts are as some percentage + some other percentage, say 50%+40% and not 90% collectively. This attracts the customers also, and not much of the discount is actually given. Therefore, care must be taken while solving such questions.