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Unit-2Profit and Loss Q1) Suppose the profit percentage is 80% of the cost. If the cost further increases by 20% but the selling price remains the same, how much is the decrease in profit percentage?A1)Let us supposeCP = Rs. 100.Then Profit = Rs. 80 and selling price = Rs. 180.The cost increases by 20% → New CP = Rs. 120, SP = Rs. 180.Profit % = 60/120 
100 = 50%.Therefore, Profit decreases by 30%. Q2) A dishonest shopkeeper sells his grocery using weights 15% less than the true weights and makes a profit of 20%. Find his total gain percentage.A2)Suppose 1 kg of grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.SP of 1 kg of bag = 120% of the true CPTherefore, SP = 120/100 
1000 = Rs. 1200Gain = 1200 – 850 = 350Hence Gain % = 350/850 
100 = 41.17%Q3) A shopkeeper offers a discount of 20% on the selling price. On a special sale day, he offers an extra 25% off coupon after the first discount. If the article was sold for Rs. 3600, find the marked price of the articleA3)Let the marked price of the article be x.First a 20% discount was offered, on which another 25% discount was offered.So, 75% of 80% of x = 360075/100 
80/100 
x = 3600 → x = 6000.So the article was marked at Rs. 6000. Q4) The cost price of 30 articles is equal to the selling price of 40 articles. What is the profit or loss percentage?A4)CP of 30 articles = SP of 40 articles Or, CP/SP = 30/40 =3/4
Or, 1 – CP/SP = 1- 3/4 = 1/4So, Loss percentage
= (l – CP/SP) x 100 = 1/4x 100 = 25% Q5) Sweety purchases a set of toys that lists for Rs. 950 and it has a trade discount of 30%, then find the net price.A5)As we know that-
Then Net price = 950 – 285 = 665 Q6) If Raheem will buy a table that lists for Rs. 2000 and it has a trade discount of 50%. Then how much will he pay?A6)As we know that-
Then Net price = 2000 – 1000 = 1000 Q7) The Price of a book is Rs. 15.75. A book seller sells 1200 books and pays Rs 17,860.50 to the book publisher after deducting his commission. Find the commission rate.A7)Here we have total commission, We have to find the total sale price of books. The total sale price of books = Number of Books 
Price = 1200
15.75 =18900Commission = Sale price – Amount paid to the Publisher = 18900-17860.5 = 1039.5Commission % = Commission
100 /Selling price = 1039.5
100/18900 = 5.5% Q8) Mahesh sold his car for Rs.68,000 with the help of an agent. If the commission paid by Mahesh is Rs 2550. Find rate of commission, and the net amount received by the Mahesh.A8)Commission % = Commission
100 /Selling price = 2550
100/68000 = 3.75%Net amount received by farmer = Sale price – Commission = 68000-2550 = Rs65, 450Q9) An agency pays 15% commission to a notebook distributor. The price of each notebook is Rs 3. If he sells 50 copies of notebook every day, find how much commission he receives in a month and also net amount received by the Agency?A9)Price of each news paper = Rs 3.Sale price for a day = Number copies sold in day 
price of Cost of news paper = 50
3 = Rs 150Sale price for a year = Number of days
Sale price for a day = 30
150 = 450 RsCommission = Commission%
Selling price/100 = 15
450/100 = 67.5 Rs.Net amount received by agency = selling price – commission = 450 -67.5 = 382.5 Rs
100 = 50%.Therefore, Profit decreases by 30%. Q2) A dishonest shopkeeper sells his grocery using weights 15% less than the true weights and makes a profit of 20%. Find his total gain percentage.A2)Suppose 1 kg of grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.SP of 1 kg of bag = 120% of the true CPTherefore, SP = 120/100 1000 = Rs. 1200Gain = 1200 – 850 = 350Hence Gain % = 350/850 100 = 41.17%Q3) A shopkeeper offers a discount of 20% on the selling price. On a special sale day, he offers an extra 25% off coupon after the first discount. If the article was sold for Rs. 3600, find the marked price of the articleA3)Let the marked price of the article be x.First a 20% discount was offered, on which another 25% discount was offered.So, 75% of 80% of x = 360075/100 80/100 x = 3600 → x = 6000.So the article was marked at Rs. 6000. Q4) The cost price of 30 articles is equal to the selling price of 40 articles. What is the profit or loss percentage?A4)CP of 30 articles = SP of 40 articles Or, CP/SP = 30/40 =3/4Or, 1 – CP/SP = 1- 3/4 = 1/4So, Loss percentage
= (l – CP/SP) x 100 = 1/4x 100 = 25% Q5) Sweety purchases a set of toys that lists for Rs. 950 and it has a trade discount of 30%, then find the net price.A5)As we know that-
Then Net price = 950 – 285 = 665 Q6) If Raheem will buy a table that lists for Rs. 2000 and it has a trade discount of 50%. Then how much will he pay?A6)As we know that- Then Net price = 2000 – 1000 = 1000 Q7) The Price of a book is Rs. 15.75. A book seller sells 1200 books and pays Rs 17,860.50 to the book publisher after deducting his commission. Find the commission rate.A7)Here we have total commission, We have to find the total sale price of books. The total sale price of books = Number of Books Price = 120015.75 =18900Commission = Sale price – Amount paid to the Publisher = 18900-17860.5 = 1039.5Commission % = Commission100 /Selling price = 1039.5100/18900 = 5.5% Q8) Mahesh sold his car for Rs.68,000 with the help of an agent. If the commission paid by Mahesh is Rs 2550. Find rate of commission, and the net amount received by the Mahesh.A8)Commission % = Commission100 /Selling price = 2550100/68000 = 3.75%Net amount received by farmer = Sale price – Commission = 68000-2550 = Rs65, 450Q9) An agency pays 15% commission to a notebook distributor. The price of each notebook is Rs 3. If he sells 50 copies of notebook every day, find how much commission he receives in a month and also net amount received by the Agency?A9)Price of each news paper = Rs 3.Sale price for a day = Number copies sold in day price of Cost of news paper = 503 = Rs 150Sale price for a year = Number of daysSale price for a day = 30150 = 450 RsCommission = Commission%Selling price/100 = 15450/100 = 67.5 Rs.Net amount received by agency = selling price – commission = 450 -67.5 = 382.5 Rs 
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