During a sale, 50% of the goods are sold at 21% profit, 30% of the remaining goods are sold at 43% profit and the still remaining goods are sold at a loss of 17%. If there is an overall profit of x%, then what is the value of x?
11
Taking total goods as 100 units: 50 units sold at 21% profit, 30% of the remaining 50 (=15 units) at 43% profit, and the remaining 35 units at 17% loss.
Overall profit: \(50\times0.21 + 15\times0.43 + 35\times(-0.17) = 10.5+6.45-5.95 = 11\).
Hence, the value of x is 11.
Similar Questions
- Big Mart is offering $5\%$ discount on card payment. How much percentage above cost price should the marked price be so as to make a profit of $10\%$?
- If a shopkeeper added $20\%$ on the cost price as marked price and gave $20\%$ discount, then how much was his profit or loss percent?
- What is the cost price of articles sold for ₹390 if $20\%$ is the total gain?
- If the selling price of an article is 3 times the discount offered and if the percentage of the discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
- A vendor purchases an article for ₹500 and sells it for ₹550. What is the percentage gain?
- Rupert purchases a second-hand TV for ₹4,600, spends some money on its repairs, and then sells it for ₹5,406, thereby earning a profit of 6%. How much did Rupert spend on the repairs?
- Atulit buys an old bicycle for ₹4,000 and spends ₹400 towards its repairs. If he sells the bicycle for ₹5,000, his percentage gain is:
- By selling articles at ₹31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at ₹35?
- A Man sold 2 articles for ₹4,000 each, gained 15% on one and lost 15% on the other. What is the total gain or loss rounded to the nearest integer?
- The sum of cost prices of two bikes is ₹1,00,000. One bike was sold at a profit of 20% and the second one was sold at a loss of 20%. If the selling prices are same, what is the cost price of the first bike sold?
Important Questions from Profit and Loss
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be
What will be cost price of an item which when sold at the profit of 5% and at the loss of 5% the difference of selling prices be Rs. 60?
