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Question
A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250?
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Solution
\[\text { Given, } \]
\[\text { MP of the fan = Rs } . 1250\]
\[\text { Discount = 10 % } \]
\[\text { So, Discount = 10 % of } 1250\]
\[ = 0 . 10 \times 1250\]
\[ = Rs . 125\]
\[\text { Since SP = MP - Discount }, \]
\[\text { SP = Rs } . \left( 1250 - 125 \right)\]
\[ = Rs . 1125\]
\[\text { Now }, \]
\[\text { SP of the fan = Rs }. 1125\]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 + \text { Profit % }\right)} \times SP \right]\]
\[ = \left[ \frac{100}{125} \right]1125\]
\[ = Rs . 900\]
\[\text { Thus, the cost price of the fan is Rs } . 900 .\]
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A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
- Method 2: Take 25% off the original price and then subtract Rs 50.
- Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.
- For each method, calculate the amount Sheela would have to pay. Show your work.
- Which method do you think stores actually use? Why?
