Jawahar Navodaya Vidyalaya Selection Test (JNVST)
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Profit and loss
Questions (20)
Question 1: A man bought a bicycle for ₹ 1200. He sold it for ₹ 1500. Find the profit per cent.
Answer: 25
Explanation:
To find the profit percentage, we first calculate the profit: Selling Price - Cost Price = 1500 - 1200 = ₹ 300. Then, we calculate the profit percentage: (Profit / Cost Price) * 100 = (300 / 1200) * 100 = 25%. Therefore, the profit percentage is 25%.
Question 2: If a book purchase in ₹ 150 and sell it ₹ 180. Then, the profit percentage is
Answer: 20
Explanation:
The profit is the selling price minus the cost price: ₹ 180 - ₹ 150 = ₹ 30. To find the profit percentage, divide the profit by the cost price and multiply by 100: (₹ 30 / ₹ 150) x 100 = 20%.
Question 3: Rajesh purchased a watch for Rs 300. He sold it for Rs 330. Find the profit per cent.
Answer: 10
Explanation:
To find the profit percentage, we first calculate the profit made. Profit = Selling Price - Cost Price = Rs 330 - Rs 300 = Rs 30. The profit percentage is calculated as (Profit/Cost Price) × 100. So, Profit Percentage = (30/300) × 100 = 10%. Therefore, the profit percentage is 10%.
Question 4: A shopkeeper bought 2 dozen of brushes at the rate of ₹ 10 per dozen. If he sells them at ₹ 1 per brush, what profit will he earn?
Answer: ₹ 9
Explanation:
The shopkeeper bought 2 dozen brushes. 1 dozen = 12 brushes, so 2 dozen = 24 brushes. The cost for 2 dozen is 2 x ₹10 = ₹20. If he sells each brush for ₹1, then selling 24 brushes earns him 24 x ₹1 = ₹24. Profit = Selling Price - Cost Price = ₹24 - ₹20 = ₹4.
Question 5: A person buys 60 oranges at the rate of ₹ 21 per dozen and sells them at the rate of ₹ 24 per dozen. He makes a
Answer: profit of ₹ 15
Explanation:
First, calculate the cost price of 60 oranges. Since 1 dozen equals 12 oranges, 60 oranges make 5 dozens. The cost price for 1 dozen is ₹ 21, so for 5 dozens, it is 5 x 21 = ₹ 105. Next, calculate the selling price. The selling price for 1 dozen is ₹ 24, so for 5 dozens, it is 5 x 24 = ₹ 120. The profit is the selling price minus the cost price, which is 120 - 105 = ₹ 15.
Question 6: An old table was purchased for ₹ 180 and ₹ 20 were spent on its repairs. If it was sold at a profit of 20%, the selling price of the table was
Answer: ₹ 240
Explanation:
First, calculate the total cost price: ₹ 180 + ₹ 20 = ₹ 200. To find the selling price with a 20% profit, calculate 20% of ₹ 200: 0.20 x 200 = ₹ 40. Add this profit to the cost price: ₹ 200 + ₹ 40 = ₹ 240. Therefore, the selling price is ₹ 240.
Question 7: After bought a ceiling fan on ₹ 750, one sells it with a profit of 18%, then find the selling price.
Answer: ₹ 885
Explanation:
To find the selling price with an 18% profit, calculate 18% of 750 and add it to the original price. 18% of 750 = 750 × 0.18 = 135. Add this to the original price: 750 + 135 = 885.
Question 8: By selling a dozen pencil at the cost of ₹ 30, the shopkeeper gains ₹ 10. His percentage of profit was
Answer: 50
Explanation:
Cost price of a dozen pencils = Selling price - Profit = 30 - 10 = ₹ 20. Profit percentage = (Profit/Cost Price) x 100 = (10/20) x 100 = 50%.
Question 9: By selling a dozen pencil at the cost of ₹ 8, the shopkeeper gains ₹ 10. His percentage of profit was
Answer: 50
Explanation:
The cost price of a dozen pencils is ₹ 8. The profit made is ₹ 10. To find the percentage profit, use the formula: (Profit / Cost Price) × 100%. So, (10 / 20) × 100% = 50%.
Question 10: A radio was sold for ₹ 680 at a loss of ₹ 120. At what price should it be sold to earn a profit of ₹ 120.
Answer: ₹ 920
Explanation:
First, find the cost price of the radio. Since it was sold at a loss of ₹ 120, the cost price = Selling price + Loss = 680 + 120 = ₹ 800. To earn a profit of ₹ 120, the selling price should be Cost price + Profit = 800 + 120 = ₹ 920.
Question 11: A man bought a bicycle for ₹ 450 and spent ₹ 50 for it’s maintenance. If he sells bicycle for ₹ 600, then his gain percentage is
Answer: 20
Explanation:
First, calculate the total cost price of the bicycle: Cost price = ₹ 450 + ₹ 50 = ₹ 500. Next, calculate the gain: Selling price = ₹ 600. Gain = Selling price - Cost price = ₹ 600 - ₹ 500 = ₹ 100. Now, calculate the gain percentage: Gain percentage = (Gain / Cost price) x 100 = (100 / 500) x 100 = 20%. Therefore, the gain percentage is 20%.
Question 12: A fruit seller buys lemons at 2 for a rupee and sells them at 5 for three rupees. What is his profit per cent?
Answer: 20%
Explanation:
First, find the cost price of one lemon: 2 lemons for 1 rupee means 1 lemon costs 0.5 rupees. Selling price for 5 lemons is 3 rupees, so 1 lemon sells for 3/5 = 0.6 rupees. Profit per lemon = 0.6 - 0.5 = 0.1 rupees. Profit percentage = (Profit/Cost Price) * 100 = (0.1/0.5) * 100 = 20%.
Question 13: An article is sold for ₹ 500 and hence a loss is incurred. Had the article been sold for ₹ 700, the shopkeeper would have gained three times the former loss. What is the cost price of the article?
Answer: ₹ 550
Explanation:
Let the cost price be x. The loss when sold at ₹ 500 is x - 500. If sold at ₹ 700, the gain is 700 - x. According to the problem, 700 - x = 3(x - 500). Solving this equation: 700 - x = 3x - 1500, 2200 = 4x, x = 550. Therefore, the cost price is ₹ 550.
Question 14: A person buys 10 dozen pens at the rate of ₹ 24 per dozen and sells them at the rate of ₹ 36 a dozen. What is his profit or loss?
Answer: ₹ 120, profit
Explanation:
First, calculate the cost price: 10 dozen * ₹ 24/dozen = ₹ 240. Then, calculate the selling price: 10 dozen * ₹ 36/dozen = ₹ 360. The profit is the selling price minus the cost price: ₹ 360 - ₹ 240 = ₹ 120. Therefore, the profit is ₹ 120.
Question 15: A man buys a radio for ₹ 900 and sells it for ₹ 1200. Find his gain per cent.
Answer: 33.33
Explanation:
To find the gain percent, we use the formula: Gain Percent = (Gain ÷ Cost Price) × 100 - Cost Price (CP) = ₹ 900 - Selling Price (SP) = ₹ 1200 - Gain = SP - CP = 1200 - 900 = ₹ 300 Gain Percent = (300 ÷ 900) × 100 = 0.3333 × 100 = 33.33% Therefore, the gain percent is 33.33%.
Question 16: Amit bought a table for ₹ 1200 and spent ₹ 200 on its repair. He sold it for ₹ 1680. His profit or loss per cent is
Answer: 20% profit
Explanation:
First, calculate the total cost price of the table, which includes the repair cost: ₹ 1200 + ₹ 200 = ₹ 1400. The selling price is ₹ 1680. The profit is the selling price minus the cost price: ₹ 1680 - ₹ 1400 = ₹ 280. To find the profit percentage, use the formula: (Profit/Cost Price) × 100 = (280/1400) × 100 = 20%. Therefore, Amit made a 20% profit.
Question 17: A man buys a TV at ₹18200. He spends ₹1800 on repaying of TV. If he want ₹3000 as profit. What is the selling price of TV?
Answer: 23000
Explanation:
To find the selling price, we need to add the cost price, additional expenses, and the desired profit. The cost price is ₹18200, the additional expense is ₹1800, and the desired profit is ₹3000. So, the selling price = 18200 + 1800 + 3000 = ₹23000.
Question 18: A person buys 10 dozen pens at the rate of ₹ 24 per dozen and sells them at the rate of ₹ 36 a dozen. What is his profit or loss?
Answer: ₹ 120, profit
Explanation:
First, calculate the cost price: 10 dozen * ₹ 24/dozen = ₹ 240. Then, calculate the selling price: 10 dozen * ₹ 36/dozen = ₹ 360. The profit is the selling price minus the cost price: ₹ 360 - ₹ 240 = ₹ 120. Therefore, the profit is ₹ 120.
Question 19: A man buys a radio for ₹ 900 and sells it for ₹ 1200. Find his gain per cent.
Answer: 33 1/3
Explanation:
To find the gain percent, we first calculate the gain and then use the formula for gain percent: Gain = Selling Price - Cost Price = ₹ 1200 - ₹ 900 = ₹ 300 Gain Percent = (Gain ÷ Cost Price) × 100 = (300 ÷ 900) × 100 = 0.3333 × 100 = 33 1/3% Therefore, the correct answer is 33 1/3.
Question 20: If the cost price of 12 packets of biscuits is ₹ 240, the cost price of 8 packets of biscuits will be
Answer: ₹ 160
Explanation:
First, find the cost of one packet of biscuits by dividing the total cost by the number of packets: ₹240 ÷ 12 = ₹20 per packet. Then, multiply the cost of one packet by 8 to find the cost of 8 packets: ₹20 × 8 = ₹160.