5 On selling of an article for ₹ 144 a man losses 10 at what price should he sell it to gain 10
Given : The selling price of an article = Rs. 285 Loss incurred = 5% To find : We have to find for how much should he sell to gain 5 %. Solution : Let the Cost price of the article be CP. $Loss percentage = \frac{CP-SP}{CP} \times 100$ $5 CP = (CP-285)\times 100$ $5CP = 100CP-28500$ $(100-5) CP = 28500$ $CP = \frac{28500}{95}$ $CP = 300$ Cost price of the article is Rs. 300. Let the selling price of the article be Rs. x to get a profit of 5%. Therefore, $x = 300 + \frac{5}{100} \times 300$ $x = 300 + 5\times3$ $x = 300+15$ $x = 315$ He should sell the article at Rs. 315 to gain 5%.
Rd Sharma 2020 2021 Solutions for Class 7 Maths Chapter 12 Profit And Loss are provided here with simple step-by-step explanations. These solutions for Profit And Loss are extremely popular among Class 7 students for Maths Profit And Loss Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma 2020 2021 Book of Class 7 Maths Chapter 12 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rd Sharma 2020 2021 Solutions. All Rd Sharma 2020 2021 Solutions for class Class 7 Maths are prepared by experts and are 100% accurate. Page No 12.10:Question 10:A vendor bought lemons at 6 for a rupee and sold them at 4 for a rupee. His gain % is (a) 50% Answer:Let the total lemons be 12. CP of 6 lemons = ₹1 Also, SP of 4 lemons = ₹1 Therefore, SP is more than CP. So, Gain = SP − CP Gain percent=GainCP×100 =12×100 =50% Hence, the correct option is (a). Page No 12.10:Question 11:On selling a pen for ₹48, a shopkeeper loses 20%. In order to gain 20% what should be the selling price? (a) ₹52 Answer:Let the CP of a pen be x. SP of a pen = ₹48 Therefore, CP is more than SP. Now, Loss = CP − SP and Loss = Loss percent × CP Thus, CP-SP=Loss percent×CP⇒x-48=20100×x⇒100x-4800=20x⇒100x-20x=4800⇒80x=4800⇒x=480080⇒x=60 Therefore, CP of the pen = ₹60 Now, in order to gain 20%, let the new SP be y. Gain = Gain percent × CP SP = CP + Gain Hence, the correct option is (d). Page No 12.10:Question 12:On selling an article for ₹144 a man loses 10%. At what price should he sell it to gain 10% ? (a) ₹158.40 Answer:Let the CP of an article be x. SP of the article = ₹144 Therefore, CP is more than SP. Now, Loss = CP − SP and Loss = Loss percent × CP Thus, CP -SP=Loss percent×CP⇒x-144=10100×x⇒x-144=110×x⇒10x-1440=x ⇒10x-x=1440⇒9x=1440⇒x=14409⇒x=160 Therefore, CP of the article = ₹160 Now, in order to gain 10%, let the new SP be y. Gain = Gain percent × CP SP = CP + Gain Hence, the correct option is (c). Page No 12.10:Question 13:If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is (a) 25% Answer:Let the cost price of one pen be ₹1. Therfore, CP is more than SP. So, Loss = CP − SP Loss percent=LossCP×100 =520×100 =25% Hence, the correct option is (a). Page No 12.10:Question 14:If the cost price of 6 pencils is equal to the selling price of 5 pencils, then the gain percent is (a) 10% Answer:Let the cost price of one pencil be ₹1. Therfore, SP is more than CP. So, Profit = SP − CP Gain percent=ProfitCP×100 =15×100 =20% Hence, the correct option is (b). Page No 12.8:Question 1:Given the following values, find the unknown values: Answer:(i) CP = Rs.. 1200, SP = Rs.. 1350 (ii) CP = Rs. 980, SP = Rs. 940 (iii) CP = Rs. 720, SP = ?, profit = Rs. 55.50 (iv)
CP = ?, SP = Rs. 1254, loss = Rs. 32 Page No 12.8:Question 2:Fill in the blanks in each of the following: Answer:(i) CP = Rs. 1265, SP = Rs. 1253 (ii) CP = ?, SP = Rs. 450, profit = Rs. 150 (iii) CP = Rs. 3355, SP = Rs. 7355, (iv) CP = ?, SP = Rs. 2390, loss = Rs. 5.50 Page No 12.8:Question 3:Calculate
the profit or loss and profit or loss per cent in each of the following cases: Answer:(i) CP = Rs. 4560, SP = Rs. 5000 (ii) CP = Rs. 2600, SP = Rs. 2470. Here, CP > SP. So, loss. (iii) CP = Rs. 332, SP= Rs. 350. Here, SP > CP. So, profit. (iv) CP = Rs. 1500, SP = Rs. 1500 Page No 12.8:Question 4:Find the gain or loss per cent, when: Answer:(i) CP = Rs.
4000, gain = Rs. 40 (ii) SP = Rs. 1272, loss = Rs. 328 (iii) SP = Rs. 1820, gain = Rs. 420 Page No 12.8:Question 5:Find the gain or loss per cent, when: Answer:(i) CP = Rs. 2300, overhead expenses = Rs. 300, gain = Rs. 260 (ii) CP = Rs. 3500, overhead expenses = Rs. 150, loss = Rs. 146 Loss % = {( Loss/(CP + overhead expenses)} × 100 = {146/(3500+ 150)} × 100 Page No 12.8:Question 6:A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice. Answer:Cost of 1 quintal of rice = Rs. 250 Page No 12.8:Question 7:Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each. Find his gain or loss percent. Answer:Cost of 1 dozen pencils = Rs. 10.80 Selling price of each pencil = 80 paise Here, SP < CP. Page No 12.8:Question 8:A vendor buys oranges at Rs 26 per dozen and sells them at 5 for Rs 13. Find his gain per cent. Answer:CP of 1 dozen oranges = Rs. 26 Now, SP of 5 oranges = Rs. 13 Gain = SP - CP = Rs. (13 - 10.8) = Rs. 2.2 Page No 12.8:Question 9:Mr Virmani purchased a house for Rs 365000 and spent Rs 135000 on its repairs. If he sold it for Rs 550000, find his gain percent. Answer:Amount Mr. Virmani paid to purchase the house = Rs. 365000 Gain % = (Gain/CP) × 100 = (50000/500000) × 100 = 5000000/500000 = 10% Page No 12.8:Question 10:Shikha purchased a wrist watch for Rs 840 and sold it to her friend Vidhi for Rs 910. Find her gain percent. Answer:The cost price of the wristwatch that Shikha purchased, CP = Rs. 840 Gain % = (Gain/CP) × 100 = (70/840) × 100 = 7000/840 = 8.3% Page No 12.8:Question 11:A business man makes a 10% profit by selling a toy costing him Rs 120. What is the selling price? Answer:CP = Rs. 12 SP = {(100 + profit %)/100} × CP Page No 12.8:Question 12:Harish purchased 50 dozen bananas for Rs 135. Five dozen bananas could not be sold because they were rotten. At what price per dozen should Harish sell the remaining bananas so that he makes a profit of 20%? Answer:Cost price of 50 dozens bananas that Harish purchased, CP = Rs. 135 Bananas left after removing 5 dozen rotten bananas = 45 dozens Effective CP of one dozen bananas = Rs. 135/45 = Rs. 3 Calculating the price at which Harish should sell each dozen bananas to make a profit of 20% (or 1/5), we get Harish should sell the bananas at Rs. 3.60 a dozen in order to make a profit of 20%. Page No 12.8:Question 13:A woman bought 50 dozen eggs at Rs 6.40 a dozen. Out of these 20 eggs were found to be broken. She sold the remaining eggs at 55 paise per egg. Find her gain or loss percent. Answer:Cost of one dozen eggs = Rs. 6.40 Total number of eggs = 50 × 12 = 600 SP of 1 egg = 55 paise Loss = CP - SP = Rs. (320-319) = Re. 1 Page No 12.8:Question 14:Jyotsana bought 400 eggs at Rs 8.40 a dozen. At what price per hundred must she sell them so as to earn a profit of 15%? Answer:Cost of eggs per dozen = Rs. 8.40 So, Jyotsana must sell the 400 eggs for Rs. 322 in order to earn a profit of 15%. Page No 12.9:Question 15:A shopkeeper makes a profit of 15% by selling a book for Rs 230. What is the C.P. and the actual profit? Answer:Given that the SP of a book = Rs. 230 Page No 12.9:Question 16:A bookseller sells all his books at a profit of 10%. If he buys a book from the distributor at Rs 200, how much does he sell it for? Answer:Given The bookseller sells the book for Rs. 220. Page No 12.9:Question 17:A flowerist buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are delivered, 20 dozen roses are multilated and are thrown away. At what price should he sell the rest if he needs to make a 20% profit on his purchase? Answer:Cost of 1 dozen roses = Rs. 2 Roses left after discarding the mutilated ones = 80 dozens Calculating the price at which the florist should sell the 80 dozen roses in order to make a profit of 20%, we have Profit %100 = SP-CPCP20100 = SP-200200SP = Rs. 240 Therefore, the SP of the roses should be Rs. 240/80 = Rs. 3 per dozen. Page No 12.9:Question 18:By selling an article for Rs 240, a man makes a profit of 20%. What is his C.P.? What would his profit percent be if he sold the article for Rs 275? Answer:Let CP = Rs. x Now, profit % = 20% Profit = SP - CP = 240 - x New SP = Rs. 275 and CP = Rs. 200 Page No 12.9:Question 1:If CP = ₹200 and SP = ₹250, then the profit or loss is equal to (a) ₹50 loss Answer:Since, SP is more than CP. Therefore, profit = SP − CP Hence, the correct option is (b). Page No 12.9:Question 2:If CP = ₹120 and SP = ₹80, then profit or loss is equal to (a) ₹40 loss Answer:Since, CP is more than SP. Therefore, loss = CP − SP Hence, the correct option is (a). Page No 12.9:Question 3:A trader purchased a bicycle for ₹2500 and sold at ₹2700. His profit percentage is (a) 8% Answer:CP = ₹2500 Since, SP is more than CP. Therefore, Profit = SP − CP Profit Percent=ProfitCP×100 = 2002500×100 =8% Hence, the correct option is (a). Page No 12.9:Question 4:If CP = ₹950 and gain 6%, then SP = (a) ₹1100 Disclaimer: There is a misprint in the options. Option (c) must be equal to ₹1007. Answer:Let the SP be x. CP = ₹950 Therfore, SP is more than CP. Now, Thus, SP = CP + gain Hence, the correct option is (c). Page No 12.9:Question 5:If SP = ₹924 and gain = 10%, then CP =
(a) ₹480 Disclaimer: There is a misprint in the question. CP should be ask instead of SP. Answer:Let the CP be x. SP = ₹924 Therfore, SP is more than CP. Now, So, SP=CP+10% of CP⇒924=x+10100×x⇒924=1+ 110x⇒924=1110x⇒x=924×1011⇒x=840 Thus, CP = ₹840 Hence, the correct option is (d). Page No 12.9:Question 6:On selling a pen for ₹100, a shopkeeper gains ₹15. The cost price of the pen is (a) ₹115 Answer:Let the CP be x. SP = ₹100 Therfore, SP is more than CP. Now, Thus, CP = ₹85 Hence, the correct option is (b). Page No 12.9:Question 7:On selling a plastic chair for ₹630, a man loses 10%, the cost price of the chair is (a) ₹567 Answer:Let the CP be x. SP = ₹630 Therfore, CP is more than SP. Now, So, SP=CP-10% of CP⇒630=x-10100 ×x⇒630=1-110x⇒630=910x⇒x=630×109⇒x= 700 Thus, CP = ₹700 Hence, the correct option is (c). Page No 12.9:Question 8:The CP of a chair is ₹3300. If it is sold at a loss of 10%, then SP is (a) ₹3000 Answer:Let the SP be x. CP = ₹3300 Therfore, CP is more than SP. Now, So, SP=CP-10% of CP⇒x=3300-10 100×3300⇒x=3300-330⇒x=2970 Thus, SP = ₹2970 Hence, the correct option is (d). Page No 12.9:Question 9:If the cost price of 15 pens is equal to the selling price of 20 pens, then the loss percent is (a) 25% Answer:Let the cost price of one pen be ₹1. Therefore, CP is more than SP. So, Loss = CP − SP Loss percent=LossCP×100 = 520×100 =25% Hence, the correct option is (a). View NCERT Solutions for all chapters of Class 7 |