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प्रश्न
By selling a book for Rs 258, a bookseller gains 20%. For how much should he sell it to gain 30%?
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उत्तर
\[\text { Selling price of the book = Rs } . 258\]
\[\text { Gain % = 20 % } \]
\[\text { Since, C . P }= \left[ \frac{100}{\left( 100 +\text { Gain % } \right)} \times S . P \right]\]
\[ = \left[ \frac{100}{\left( 100 + 20 \right)} \times 258 \right]\]
\[ = \frac{25800}{120}\]
\[ = Rs . 215\]
\[\text { Let the bookseller sells it for Rs . x }\]
\[\text { So, S . P } = \left[ \frac{\left( 100 + \text { Gain % } \right)}{100} \times C . P \right]\]
\[x = \frac{100 + 30}{100} \times 215\]
\[ = \frac{130 \times 215}{100}\]
\[ = Rs . 279 . 50\]
\[\text{Therefore, the bookseller must sell the book at Rs 279 . 50 to make 30 % profit } .\]
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Sonia and Rahul have different ways of calculating the sale price for the items they bought.
As you work on the next problem, try both of these methods to see which you prefer.
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?
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.
Which method do you think stores actually use? Why?
If the price of sugar is decreased by 20%, then the new price of 3 kg sugar originally costing ₹ 120 will be ______.
