Advertisements
Advertisements
Question
Some toffees are bought at the rate of 11 for Rs 10 and the same number at the rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee, find the gain or loss percent on the whole transaction.
Advertisements
Solution
\[\text { Let the total number of toffees bought be x } . \]
\[\text { Let }\frac{x}{2}\text { toffees at the rate of 11 are bought for Rs . 10, and } \frac{x}{2}\text { toffees at the rate of 9 are bought for Rs . 10 }\]
\[\text { Total money spent on buying the toffees } = \left( \frac{x}{2} \right)\left( \frac{10}{11} \right) + \left( \frac{x}{2} \right)\left( \frac{10}{9} \right)\]
\[ = \frac{200x}{198}\]
\[ = \frac{100}{99}x\]
\[\text { It is given that x toffees are sold at one rupee per toffee } . \]
\[\text { Therefore, the selling price of x toffees = Rs . x } \times 1 = Rs . x\]
\[\text { As C . P is more than S . P, it will be a loss } . \]
\[\text { Loss = C . P - S . P }\]
\[ = \frac{100}{99}x - x\]
\[ = \frac{100x - 99x}{99}\]
\[ = \frac{x}{99}\]
\[\text { Loss % } = \frac{\text { Loss }}{C . P} \times 100\]
\[ \frac{\frac{x}{99}}{\frac{100x}{99}} \times 100 = 1 \]%
\[\text { Total loss on the whole transaction would be 1 % } . \]
APPEARS IN
RELATED QUESTIONS
A defective briefcase costing Rs 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.
Toshiba bought 100 hens for Rs 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole?
Rohit buys an item at 25% discount on the marked price. He sells it for Rs 660, making a profit of 10%. What is the marked price of the item?
By selling a speaker for ₹ 768, a man loses 20%. In order to gain 20%, how much should he sell the speaker?
Sultana bought the following things from a general store. Calculate the total bill amount paid by her.
(i) Medicines costing ₹800 with GST at 5%
(ii) Cosmetics costing ₹ 650 with GST at 12%
(iii) Cereals costing ₹900 with GST at 0%
(iv) Sunglass costing ₹1750 with GST at18%
(v) Air Conditioner costing ₹28500 with GST at 28%
A shopkeeper gives two successive discounts on an article whose marked price is ₹ 180 and selling price is ₹ 108. Find the first discount percentage if the second discount is 25%
The cost price of 10 tables is equal to the sale price of 5 tables. The profit per cent in this transaction is ______.
C.P. = M.P. – Discount.
The original price of a shampoo bottle bought for Rs 324 if 8% VAT is included in the price is Rs 300.
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?
