Practice Questions

Duration: 8 min

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This educational video presents a step-by-step solution to two quantitative aptitude problems related to profit and loss, using a digital whiteboard. The first problem, from an Accenture exam, involves calculating the percentage profit or loss for a pen dealer who buys 9 pens for 16 rupees and sells them at an offer of 11 pens for 20 rupees. The instructor demonstrates a method to find the cost price (CP) and selling price (SP) per pen by equating the total cost and revenue for a common number of pens (180), leading to a calculated profit of 25/11%, or approximately 2.27%. The second problem, from a GATE exam, asks for the loss incurred by a fruit seller who sold a basket at a 12.5% loss, and if he had sold it for Rs. 108 more, he would have made a 10% gain. The instructor uses the ratio method, setting the cost price (CP) as 100 units, which results in a selling price (SP) of 87.5 units for a 12.5% loss and 110 units for a 10% gain. The difference of 22.5 units is equated to Rs. 108, allowing the calculation of the CP as Rs. 480 and the loss as Rs. 60. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for a question from an Accenture exam. The problem states: 'Sunny deal purchases 9 pens in 16 rupees and sell it at a offer of 11 pens for 20 rupees. How much percentage profit or loss he received?'. The instructor begins the solution by writing 'Qty' and 'Rs.' on a digital whiteboard, then sets up the purchase and sale data: 9 pens for 16 rupees and 11 pens for 20 rupees. He explains that to compare the cost and selling price, a common number of pens must be used. He calculates the least common multiple of 9 and 11, which is 99, but then uses 180 (a multiple of 9 and 11) to make the calculations easier. He writes '20*9=180' and '11*16=176', indicating that the cost for 180 pens is 180 rupees and the selling price for 180 pens is 176 rupees. He then writes the formula for profit percentage: 'Profit = (SP - CP) / CP * 100'. He also notes that the cost price for 180 pens is 180 rupees and the selling price is 176 rupees, which implies a loss of 4 rupees on 180 rupees. He then begins to write the formula for percentage loss: '180 - 176 / 176 * 100'.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues solving the first problem. He writes the formula for percentage loss as '(180 - 176) / 176 * 100', which simplifies to '4 / 176 * 100'. He then simplifies the fraction '4/176' to '1/44'. He writes '1/44 * 100' and calculates the result as '100 / 44', which simplifies to '25 / 11'. He states that the percentage loss is 25/11%, which is approximately 2.27%. He then moves to the second problem, which is from a GATE exam. The problem states: 'A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?'. He introduces the 'Ratio Method' as a shortcut. He writes 'CP = 100' and 'L = 12.5%'. He explains that a 12.5% loss means the selling price (SP) is 87.5% of the cost price. He writes 'SP = 87.5'. He then writes 'G = 10%' and 'SP = 110'. He explains that the difference between the two selling prices is 110 - 87.5 = 22.5. He equates this difference to Rs. 108. He writes '22.5 = 108' and '100 = ?'. He calculates the cost price (CP) as (108 / 22.5) * 100 = 480. He then calculates the loss as 12.5% of 480, which is 60. He concludes that the loss incurred by the fruit seller is Rs. 60.

  3. 5:00 – 8:18 05:00-08:18

    The instructor continues to solve the second problem using the 'Percentage Method'. He writes 'CP = 100' and 'L = 12.5%'. He explains that a 12.5% loss means the selling price (SP) is 87.5% of the cost price. He writes 'SP = 87.5'. He then writes 'G = 10%' and 'SP = 110'. He explains that the difference between the two selling prices is 110 - 87.5 = 22.5. He equates this difference to Rs. 108. He writes '22.5 = 108' and '100 = ?'. He calculates the cost price (CP) as (108 / 22.5) * 100 = 480. He then calculates the loss as 12.5% of 480, which is 60. He concludes that the loss incurred by the fruit seller is Rs. 60. The video ends with a 'Thanks for Watching' screen.

The video provides a clear, structured walkthrough of two profit and loss problems, emphasizing different solution methods. The first problem is solved by finding a common quantity to compare cost and selling prices, leading to a calculation of percentage loss. The second problem is solved using the ratio method, where the cost price is assumed as 100 units, and the difference in selling prices is used to find the actual cost and the loss. The instructor effectively uses a digital whiteboard to show all calculations step-by-step, making the concepts accessible for students preparing for competitive exams.