Rs Aggarwal 2018 Solutions for Class 7 Math Chapter 11 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 Math Profit And Loss Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2018 Book of Class 7 Math Chapter 11 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2018 Solutions. All Rs Aggarwal 2018 Solutions for class Class 7 Math are prepared by experts and are 100% accurate. Page No 157:Question 1:Find the SP when: (i) CP = Rs 950, gain = 6% Answer:(i) CP = Rs. 950 SP ={(100 + Gain%)100× CP } = {(100 + 6)100× 950} = 106100× 950 = 100700 100 = Rs. 1007 (ii) CP = Rs. 9600 SP={ (100 + Gain%)100× CP} = {(100 + 503)100× 9600} = 350300 ×9600 = 33603 = Rs . 11200 (iii) CP = Rs. 1540 SP={(100 - Loss%)100× CP} = {(100 - 4)100× 1540} = 96100× 1540 = 147840100 = Rs. 1478.40 (iv) CP = Rs. 8640 SP={(100 - Loss%)100× CP} = {(100 - 252 )100× 8640} = 175200× 8640 = 1512000200 = Rs. 7560 Page No 157:Question 2:Find the gain or loss per cent when: (i) CP = Rs 2400 and SP = Rs 2592 Answer:(i) CP = Rs. 2400 Gain% = GainCP × 100 = 1922400× 100 = 8 (ii) CP = Rs. 1650 Loss% = LossCP × 100 =1981650 × 100 = 12 (iii) CP = Rs. 12000 and SP = Rs. 12800 Gain% = GainCP × 100 = 80012000× 100 = 6.66 (iv) CP = Rs. 1800 Loss% = Loss CP × 100 =1891800 × 100 = 10.5 Page No 157:Question 3:Find the CP when: (i) SP = Rs 924, gain =
10% Answer:(i) SP = Rs. 924 CP ={ 100(100 + Gain%)× SP} ={100(100 + 10) × 924} = 92400110 = Rs. 840 (ii) SP = Rs. 1755 CP = {100(100 + Gain%)× SP} ={100(100 + 252)× 1755} = {200225× 1755} = 351000225 = Rs. 1560 (iii) SP = Rs. 8510 CP = {100(100 - Loss%)× SP} = {100(100 - 8 )× 8510} = 85100092= Rs. 9250 (iv) SP = Rs. 5600 CP = {100(100 - Loss%)× SP} = {100(100 - 203)×5600} = {300280× 5600} = 16800028 = Rs. 6000 Page No 157:Question 4:Sudhir bought an almirah for Rs 13600 and spent Rs 400 on its transportation. He sold it for Rs 16800. Find his gain per cent. Answer:Cost price of an almirah = Rs. 13600 Gain% = GainCP× 100 % = 280014000× 100% =2800140% = 20% Page No 157:Question 5:Ravi purchased an old house for Rs 765000 and spent Rs 115000 on its repairs. Then, he sold it at a gain of 5%. How much did he get? Answer:Cost price of the house = Rs. 765000 SP= {(100 + gain %)100 × CP}= {(100 + 5)100× 880000} = 105100× 880000 = Rs. 924000 He gets Rs. 924000. Page No 157:Question 6:A vendor busy lemons at Rs 25 per dozen and sells them at the rate of 5 for Rs 12. Find his gain or loss per cent. Answer:CP of 12 lemons (dozen) = Rs. 25 CP of five lemons = 5 × 2512 = 12512 = Rs. 10.42 SP of five lemons = Rs. 12 (given) Gain = SP - CP = ( 12 - 10.42 ) = Rs 1.58 Gain% =GainCP× 100% =1.5810.42 × 100 % = 15.2% Page No 157:Question 7:The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent. Answer:Let the cost price of the pen be Re 1. Gain% = GainCP× 100 % =312× 100 %= 25% Gain% = 25% Page No 157:Question 8:The selling price of 16 spoons is equal to the cost price of 15 spoons. Find the loss per cent. Answer:Let the cost price of one spoon be Re 1. Loss% = Loss CP× 100% = 116× 100 %=6.25% Loss% = 6.25% Page No 157:Question 9:Manoj purchased a video for Rs 12000. He sold it to Rahul at a gain of 10%. If Rahul sells it to Rakesh at a loss of 5%, what did Rakesh pay for it? Answer:Cost price of a video = Rs. 12000 ={(100 + 10)100× 12000} = {110100× 12000} = Rs.13200 So, Rahul purchased at a cost price of Rs. 13200. Rahul sells it at a loss of 5%. SP of a video at loss of 5% = {(100 - Loss%)100× CP} = {(100 - 5)100× 13200} = 95100× 13200 = Rs. 12540 ∴ Rakesh pays = Rs. 12540 Page No 157:Question 10:On selling a sofa-set for Rs 21600, a dealer gains 8%. For how much did he purchase it? Answer:SP of the sofa set = Rs. 21600 CP of the sofa set={100( 100 + Gain%)×SP} = {100(100 + 8) × 21600} = 2160000108 = Rs. 20000 He purchased it at the cost of Rs. 20000. Page No 157:Question 11:On selling a watch for Rs 11400, a shopkeeper loss 5%. For how much did the purchase it? Answer:SP of the watch = Rs 11400 CP = {100(100 - Loss%)× SP} ={100(100 - 5)× 11400} = 1140095 = Rs. 12000 He purchased it at the cost of Rs. 12000. Page No 157:Question 12:On selling a calculator for Rs 1325, a man gains 6%. For how much should he sell it to gain 12%? Answer:SP of the calculator = Rs. 1325 CP of the calculator = {100(100 + Gain% )× SP} ={100(100 + 6)×1325} = 132500106 = Rs. 1250 SP of the calculator= {(100 + Gain%)100× CP} = {(100 + 12)100× 1250} = 140000100 = Rs.1400 Page No 157:Question 13:On selling a computer for Rs 24480, a dealer loses 4%. For how much should he sell it to gain 4%? Answer:SP of a computer = Rs. 24480 CP of the computer={100( 100 - Loss%)× SP} = {100(100 - 4)× 24480} = 2448000 96= Rs. 25500 In order to gain 4%: Page No 157:Question 14:A tricycle is sold at a gain of 15%. Had it been sold for Rs 108 more, the profit would have been 20%. Find its cost price. Answer:Let the CP of the tricycle be Rs. x SP at 15% gain = {(100 + Gain%)100× CP} =Rs. 2320x SP at 20% gain = x × 120100 = Rs. 65x 65x-2320x=108⇒24x-23 x20=108⇒x20=108⇒x=2160 Hence, the cost price of the tricycle is Rs. 2160 Page No 157:Question 15:Sandeep sold a television at a loss of 8%. If he had sold it for Rs 3360 more, he would have gained 6%. For how much did Sandeep buy it? Answer:Let CP of a television be Rs x. 106100x - 92100x = 3360 ⇒14100x = 3360 ⇒ x = 33600014 = 24000 ∴ CP = Rs. 24000 Page No 157:Question 16:Pankaj sells two cycles for Rs 2376 each. On one he gains 10% and on the other he loss 10%. Find his gain or loss per cent. Answer:SP of each cycle = Rs. 2376 He looses 10% in the second cycle. =100(100 - 10)× 2376= 10090× 2376 = 237609 = Rs. 2640 Total CP = Rs. ( 2160 + 2640 ) = Rs
. 4800 Page No 157:Question 17:On selling an exhaust fan for Rs 7350, a man gains 1 6 of its cost price. Find the cost price of the fan. Answer:Let the CP of the exhaust fan be Rs. x. SP = Rs ( x + x6) SP = Rs. 7350 ∴ x + x6 = 7350 Page No 157:Question 18:Mohit sold a watch to Karim at a gain of 10% and Karim sold it to Rahim at a gain of 4%. If Rahim pays Rs 14300 for it, for how much did Mohit purchase it? Answer:Mohit sold a watch to Karim at Rs. x.
But, Rahim pays Rs. 14300. ⇒x = 14300 × 25 × 1026 × 11 =3575000286 =12500 Mohit purchased it at Rs. 25000. Page No 157:Question 19:If the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25% then what is the production cost of a washing machine whose retail price is Rs 37950? Answer:Let the production cost of a washing machine be Rs. x. Profit of the retailer = 25% = Rs. ( 1110 x × 2320×125100) = Rs. (1110x × 2320× 54)
Given:
⇒x =
37950 × 10 × 20 × 411 × 23 × 5 ∴ Production cost of a washing machine = Rs. 24000 Page No 157:Question 20:Mr Mehta purchased a video for Rs 20000 and a television for Rs 30000. On the video he lost 5% and on the television he gained 8%. Find his total gain or loss per cent. Answer:Mr. Mehta purchased a video at the cost of Rs. 20000. He lost 5% on the video. SP= (100-Loss%)100×CP= 100-5100×20000=95100×20000=Rs. 19000 He gained 8% on the television. SP= (100+Gain%)100×CP=100+8100×30000=108100×30000 =Rs. 32400 Total SP = Rs. ( 190000 + 32400 ) = Rs. 51400
Total CP = Rs. 50000 Page No 158:Question 21:By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges. Find his loss per cent. Answer:Let the CP of 1 orange be Rs. x. Loss = SP of 4 oranges = 4y (given) We know: Loss% = LossCP×100 % =4y36x× 100 % =4 × 9x36x× 10× 100% = 10% Loss% = 10% Page No 158:Question 22:By selling 8 dozen pencils, a shopkeeper gains the selling price of one dozen pencils. Find his gain per cent. Answer:Let the CP of one pencil be Rs. x. Gain = SP - CP ⇒12y=96y-96x⇒96x= 96y-12y⇒96x=84y⇒x=84y96 Gain% = GainCP×100 %=12y96x×100%=12 y×9696×84y×100%=14.28% Page No 158:Question 1:Mark (✓) against the correct answer
(a) 20% Answer:(b) 25% CP of the book = Rs. 80 Page No 158:Question 2:Mark (✓) against the correct answer
(a) 1212% Answer:(a) 1212% CP of a football = Rs. 120 CP>SP Page No 158:Question 3:Mark (✓) against the correct answer (a) 20% Answer:(b) 25% SP of the bat = Rs. 100 Gain = SP - CP Gain% = GainCP× 100 %=2080× 100% = 25% Page No 158:Question 4:Mark (✓) against the correct answer (a) Rs 180 Answer:(a) Rs. 180 SP of the racket = Rs. 198 CP of the racket={100(100 + Gain%)× 100} = {100 (100 + 10)× 198} =100110× 198 = Rs. 180 Page No 158:Question 5:Mark
(✓) against the correct answer (a) 50% Answer:Let the cost price be Rs. x. Given: ∴ 67x = 144 ∴ CP = Rs. 168 New SP =
Rs. 189 Gain% = GainCP× 100%= 21168× 100%=12.5% The correct answer is 12.5%. Page No 158:Question 6:Mark (✓) against the correct answer (a) Rs 52 Answer:(d) Rs. 72 SP of the pen = Rs. 48 In order to gain 20%: SP = {(100 + Gain%)100× CP} = {(100 + 20)100× 60} = 120100× 60 = Rs. 72 Page No 158:Question 7:Mark (✓) against the correct answer (a) 20% Answer:(a) 20% Let the cost price of each pencil be Rs.1 Loss = CP - SP = Rs (15 -12) = Rs 3 Loss% = LossCP× 100 %= 315× 100% = 300 15%= 20% Page No 158:Question 8:Mark (✓) against the correct answer (a) 25% Answer:(d) 3313% Let the cost price of each toffee be Rs. 1 CP = Rs 3 Gain = SP - CP = Rs ( 4 - 3 ) = Re 1 Page No 158:Question 9:Mark (✓) against the correct answer (a) Rs 158.40 Answer:(c) Rs. 176 SP of an article = Rs. 144 In order to gain 10%: S.P. = (100 + Gain%)100× CP= (100 + 10)100× 160= 110100× 160= Rs. 176 Page No 159:Question 10:
Mark (✓) against the correct answer (a) 50%
Answer:(a) 50% CP of six lemons = Re 1 CP of four lemon = Rs 46 Gain = 1 -
46 =26 = Rs 13 Page No 159:Question 11:Mark (✓) against the correct answer (a) Rs 864 Answer:(d)Rs. 600 SP of the chair = Rs 720 C.P. = {100(100 + Profit percentage)× S.P.} ={100120× 720} = 720012 = Rs. 600 Page No 159:Question 12:Mark (✓) against the correct answer (a) Rs 567 Answer:(c) Rs. 700 SP of a stool = Rs 630 Page No 160:Question 1:By selling a chair for Rs 1375 a man gains 10%. Find its cost price. Answer:SP
of the chair = Rs 1375 CP of the chair={100(100 + Gain%)× SP} ={100(100 + 10)× 1375} =137500110 = Rs. 1250 Page No 160:Question 2:If the selling price of 10 pens is equal to the cost price of 14 pens, find gain per cent. Answer:Let the cost of each pen be Rs. 1 Page No 160:Question 3:On selling a fan for Rs 2585 a man gains 110 of its cost price. Find the cost price of tha fan. Answer:Let the cost price of the fan be Rs. x. So, CP of the fan is Rs. 2350. Page No 160:Question 4:A man buys lemons at 6 for Rs 10 and sells at 8 for Rs 15. Find his gain per cent. Answer:Cost price of six lemons = Rs. 10 Gain = SP- CP=Rs. (15 - 13.33) = Rs. 1.67 Gain% = GainC.P.× 100
% Page No 160:Question 5:On selling a bat for Rs 486 a man loses 10%. Find the cost price of the bat. Answer:SP of the bat = Rs 486 CP of the bat = Rs 540 Page No 160:Question 6:Mark (✓) against the correct answer (a) Rs 115 Answer:(b) Rs 85 SP of a football = Rs 100 Page No 160:Question 7:Mark (✓) against the correct answer (a) 14.5% Answer:(c) 15.2% Cost
price of 12 bananas = Rs. 25 He sells five bananas at the cost (SP) of Rs. 12. = =Rs. ( 12 - 10.42) = Rs. 1.58 Gain% = GainCP× 100 % = 1.5810.4× 100 %= 15.2% Page No 160:Question 8:Mark
(✓) against the correct answer (a) Rs 144 Answer:(c) Rs. 196 Let the cost price of the jug be Rs. x. SP of the jug = Rs 168 (given) ∴ 67x = 168 ∴ CP of the jug = Rs. 196 Page No 160:Question 9:Mark (✓) against the correct answer (a) 3313% Answer:(c) 6623% Let the cost price
of each banana be Re 1. Gain% = GainCP× 100% = 23× 100% = 2003 %= 6623% Page No 160:Question 10:Fill in the blanks. (i) Loss = (CP) − (......). Answer:(i) Loss = (CP) - ( SP) (ii) CP = 100 × SP( 100 + Gain%) (iii) Profit or loss is always reckoned on the cost price. Page No 160:Question 11:Write 'T' for true and 'F' for false (i) Loss is reckoned on selling price. Answer:(i) False (ii) True View NCERT Solutions for all chapters of Class 7 When a chair is sold at Rs 720 there is a loss of 10% at what price should it be sold to gain 25 %?(d) Rs. 1440.
Is SP of a chair is Rs 720 a man gains 20% the CP of the chair?Hence the cost price i.e. C.P of the chair is $ Rs. 600 $ . So, the correct answer is “ $ Rs. 600 $ ”.
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