Advertisements
Advertisements
प्रश्न
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.
उत्तर
\[\text { Let the total number of toffees bought be x } . \]
\[\text { Let }\frac{x}{2}\text { toffees at the rate of 11 are bought for Rs . 10, and } \frac{x}{2}\text { toffees at the rate of 9 are bought for Rs . 10 }\]
\[\text { Total money spent on buying the toffees } = \left( \frac{x}{2} \right)\left( \frac{10}{11} \right) + \left( \frac{x}{2} \right)\left( \frac{10}{9} \right)\]
\[ = \frac{200x}{198}\]
\[ = \frac{100}{99}x\]
\[\text { It is given that x toffees are sold at one rupee per toffee } . \]
\[\text { Therefore, the selling price of x toffees = Rs . x } \times 1 = Rs . x\]
\[\text { As C . P is more than S . P, it will be a loss } . \]
\[\text { Loss = C . P - S . P }\]
\[ = \frac{100}{99}x - x\]
\[ = \frac{100x - 99x}{99}\]
\[ = \frac{x}{99}\]
\[\text { Loss % } = \frac{\text { Loss }}{C . P} \times 100\]
\[ \frac{\frac{x}{99}}{\frac{100x}{99}} \times 100 = 1 \]%
\[\text { Total loss on the whole transaction would be 1 % } . \]
APPEARS IN
संबंधित प्रश्न
The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article
A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
After allowing a discount of \[7\frac{1}{2}\]% on the marked price, an article is sold for Rs 555. Find its markd price.
Loss or gain percentage is always calculated on the ________
Find the unknowns x, y and z.
| Name of the item | Marked Price | Selling Price | Discount |
| Digital clock | ₹ 750 | ₹ 615 | z |
Selling price of 9 articles is equal to the cost price of 15 articles. In this transaction there is profit of `66 2/3%`.
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?
Sanjay is looking for one-bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is 20% off. The one-bedroom rate at Neelgiri is Rs 6,000 per month. At Savana apartments, the first month is 50% off. The one-bedroom rate at Savana apartments is Rs 7000 per month. Which apartment will be cheaper for the first two months? By how much?
A vendor purchased 720 lemons at ₹ 120 per hundred.10% of the lemons were found rotten which he sold at ₹ 50 per hundred. If he sells the remaining lemons at ₹ 125 per hundred, then his profit will be 16%.
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
