Advertisements
Advertisements
Question
A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P. to the M.P.
Advertisements
Solution
\[\text { Let C . P be Rs x and M . P be Rs y } . \]
\[\text { Gain% } = 50\]
\[\text { We know that }, \]
\[\text { S . P } = \left[ \frac{\left( 100 + \text { Gain % }\right)}{100} \times \text { C . P } \right]\]
\[ = \left[ \frac{150}{100} \times x \right]\]
\[ = \frac{3}{2}x\]
\[\text { Discount % } = 25\]
\[\text { Discount = 25 % of y }\]
\[ = Rs 0 . 25y\]
\[\text { So, S . P = M . P - Discount }\]
\[ = y - 0 . 25y\]
\[ = 0 . 75y\]
\[\text { So, S . P = 0 }. 75y\]
\[\text { Also, S . P = }\frac{3}{2}x\]
\[\text { Comparing both values for S.P., we get: }\]
\[\frac{3}{2}x = 0 . 75y\]
\[\frac{x}{y} = \frac{0 . 75 \times 2}{3}\]
\[ = \frac{1 . 5}{3}\]
\[ = \frac{1}{2}\]
\[\text { Thus, C . P: M . P } = 1: 2\]
RELATED QUESTIONS
By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Shikha purchased a car with a marked price of RS 210000 at a discount of 5%. If VAT is charged at the rate of 10%, find the amount Shikha had paid for purchasing the car.
Sharad bought one quintal of onions for Rs 2000. Later he sold them all at the rate of Rs 18 per kg. Did he make a profit or incurs a loss? How much was it?
There is no profit or loss when
The women of Meenkar Bank also want to start a factory to dry fish. The Panchayat has given them some land for that. Over the years they have saved Rs 74,000. They find out how much they will need for the factory.
Fazila writes the things they need to buy to begin. See the table for the cost of each item and the number of items they want to buy. Find the total cost.
| Item | Price of each | Number of items | Cost |
| Borewell for freshwater | Rs 3000 | 1 | |
| Bamboo rack for fish drying | Rs 2000 | 20 | |
| Cement tank | Rs 1000 | 4 | |
| Tray and knife | Rs 300 | 20 | |
| Bucket | Rs 75 | 20 |
Total cost to set up the factory = ______
When fresh fish is dried it becomes `1/3` its weight.
In one month they plan to dry 6000 kg of fresh fish.
How much-dried fish will they get in a month?
The original price of a shampoo bottle bought for Rs 324 if 8% VAT is included in the price is Rs 300.
At a toy shop price of all the toys is reduced to 66% of the original price.
- What is the sale price of a toy that originally costs Rs 90?
- How much money would you save on a toy costing Rs 90?
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?
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?
Devangi buys a chair for ₹ 700 and sells it for ₹ 750. She earns a profit of ______ % in the transaction.
