Marked Price Discount Calculation
The question requires finding the Cost Price (CP) based on the Marked Price (MP), discount percentage, and profit percentage.
Step 1: Calculate Selling Price (SP)
Determine the Selling Price (SP) by applying the discount to the Marked Price.
- Marked Price (MP) = $₹1,200$
- Discount Rate = 10%
- Discount Amount = $10\% \times ₹1,200 = 0.10 \times ₹1,200 = ₹120$
- Selling Price (SP) = MP - Discount Amount
- SP = $₹1,200 - ₹120 = ₹1,080$
Step 2: Calculate Cost Price (CP)
Calculate the Cost Price (CP) using the Selling Price and the profit percentage.
- Profit Rate = 20%
- Since the profit is 20%, the Selling Price (SP) is 120% of the Cost Price (CP).
- SP = $(100\% + 20\%) \times \text{CP} = 1.20 \times \text{CP}$
- Substitute the calculated SP: $₹1,080 = 1.20 \times \text{CP}$
- CP = $₹1,080 / 1.20$
- CP = $₹900$
The cost price of the article is $₹900$.
Similar Questions
- I bought two frocks for ₹1,200. I sold the first one at a loss of 7% and the second at a gain of 23%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first frock.
- The selling price of 40 books is equal to the cost price of 28 books. Find the loss or gain percentage.
- I bought two toy guns for ₹1,200. I sold the first one at a loss of 8% and the second at a gain of 16%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first toy gun.
- By selling $50$ mangoes for $₹30$, a person loses $10\%$. How many mangoes should he sell for $₹28$ to gain $20\%$?
- Sarita buys two old Samsung and three Mi mobile phones for ₹40,200. If she sells the Samsung phones at a 10% profit and the Mi phones at a 20% profit then her total profit is ₹5,640. The cost price of the Mi phone is:
- The cost price of 19 pens is equal to the selling price of 16 pens. Percentage gain is:
- X purchased a car at ₹ 1,50,000 and then sold it to Y at a profit of 5%. Y later sold it back to X at a loss of 2%. Find the overall profit or loss for X in the entire transaction
- The cost price of a car was ₹1,50,000. It was sold by X at a profit of 5% to Y. It was later sold back to X by Y at a 1% loss. Find X's profit in the entire transaction.
- A vendor sells 10 oranges for ₹1 and gains $30\%$. How many oranges did he buy for ₹1?
- Sohan lost $20\%$ by selling his old fan for ₹1,500. At what price (in ₹) he should have sold it to get $20\%$ profit?
Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
