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
\[\text { Let the total number of toffees bought be x } . \]
\[\text { Let }\frac{x}{2}\text { toffees at the rate of 11 are bought for Rs . 10, and } \frac{x}{2}\text { toffees at the rate of 9 are bought for Rs . 10 }\]
\[\text { Total money spent on buying the toffees } = \left( \frac{x}{2} \right)\left( \frac{10}{11} \right) + \left( \frac{x}{2} \right)\left( \frac{10}{9} \right)\]
\[ = \frac{200x}{198}\]
\[ = \frac{100}{99}x\]
\[\text { It is given that x toffees are sold at one rupee per toffee } . \]
\[\text { Therefore, the selling price of x toffees = Rs . x } \times 1 = Rs . x\]
\[\text { As C . P is more than S . P, it will be a loss } . \]
\[\text { Loss = C . P - S . P }\]
\[ = \frac{100}{99}x - x\]
\[ = \frac{100x - 99x}{99}\]
\[ = \frac{x}{99}\]
\[\text { Loss % } = \frac{\text { Loss }}{C . P} \times 100\]
\[ \frac{\frac{x}{99}}{\frac{100x}{99}} \times 100 = 1 \]%
\[\text { Total loss on the whole transaction would be 1 % } . \]
RELATED QUESTIONS
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?
A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of the cycle.
Abraham bought goods worth Rs 50000 and spent Rs 7000 on transport and octroi. If he sold the goods for Rs 65000, did he make a profit or a loss? How much?
A man purchased a bicycle for Rs 1,040 and sold it for Rs 800. His gain per cent is 30%.
Babita bought 160 kg of mangoes at Rs 48 per kg. She sold 70% of the mangoes at Rs 70 per kg and the remaining mangoes at Rs 40 per kg. Find Babita’s gain or loss per cent on the whole dealing.
Achal bought a second-hand car for Rs 2,25,000 and spend Rs 25,000 for repairing. If he sold it for Rs 3,25,000, what is his profit per cent?
What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10%
At a toy shop price of all the toys is reduced to 66% of the original price. How much money would you save on a toy costing Rs 90?
Sushma sold her watch for ₹ 3320 at a gain of ₹ 320. For earning a gain of 10% she should have sold the watch for ₹ 3300.
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%.
