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Page 1 Q u e s t i o n : 1 Find the SP when: i CP = Rs 950, gain = 6% i i CP = Rs 9600, gain = 16 2 3 % i i i CP = Rs 1540, loss = 4% i v CP = Rs 8640, loss = 12 1 2 % S o l u t i o n : i CP = Rs. 950 Gain = 6% SP = (100 + Gain%) 100 × CP = (100 + 6) 100 × 950 = 106 100 × 950 = 100700 100 = Rs. 1007 i i CP = Rs. 9600 Gain = 16 2 3 % = 50 3 % SP = (100 + Gain%) 100 × CP = 100 + 50 3 100 × 9600 = 350 300 ×9600 = 3360 3 = Rs. 11200 i i i CP = Rs. 1540 Loss = 4% SP = (100 - Loss%) 100 × CP = (100 - 4) 100 × 1540 = 96 100 × 1540 = 147840 100 = Rs. 1478. 40 i v CP = Rs. 8640 Loss = 12 1 2 % = 25 2 % { } { } { } { ( ) } { } { } { } { } Page 2 Q u e s t i o n : 1 Find the SP when: i CP = Rs 950, gain = 6% i i CP = Rs 9600, gain = 16 2 3 % i i i CP = Rs 1540, loss = 4% i v CP = Rs 8640, loss = 12 1 2 % S o l u t i o n : i CP = Rs. 950 Gain = 6% SP = (100 + Gain%) 100 × CP = (100 + 6) 100 × 950 = 106 100 × 950 = 100700 100 = Rs. 1007 i i CP = Rs. 9600 Gain = 16 2 3 % = 50 3 % SP = (100 + Gain%) 100 × CP = 100 + 50 3 100 × 9600 = 350 300 ×9600 = 3360 3 = Rs. 11200 i i i CP = Rs. 1540 Loss = 4% SP = (100 - Loss%) 100 × CP = (100 - 4) 100 × 1540 = 96 100 × 1540 = 147840 100 = Rs. 1478. 40 i v CP = Rs. 8640 Loss = 12 1 2 % = 25 2 % { } { } { } { ( ) } { } { } { } { } SP = (100 - Loss%) 100 × CP = 100 - 25 2 100 × 8640 = 175 200 × 8640 = 1512000 200 = Rs. 7560 Q u e s t i o n : 2 Find the gain or loss per cent when: i CP = Rs 2400 and SP = Rs 2592 i i CP = Rs 1650 and SP = Rs 1452 i i i CP = Rs 12000 and SP = Rs 12800 i v CP = Rs 1800 and SP = Rs 1611 S o l u t i o n : i CP = Rs. 2400 SP = Rs. 2592 Gain = SP - CP = Rs. 2592 -2400 = Rs. 192 Gain% = Gain CP × 100 = 192 2400 × 100 = 8 i i CP = Rs. 1650 SP = Rs. 1452 Loss = CP - SP = 1650 -1452 = Rs. 198 Loss% = Loss CP × 100 = 198 1650 × 100 = 12 i i i CP = Rs. 12000 and SP = Rs. 12800 Gain = SP - CP = 12800 -12000 = Rs. 800 Gain% = Gain CP × 100 = 800 12000 × 100 = 6. 66 { } { ( ) } ( ) ( ) ( ) ( ) ( ) ( ) Page 3 Q u e s t i o n : 1 Find the SP when: i CP = Rs 950, gain = 6% i i CP = Rs 9600, gain = 16 2 3 % i i i CP = Rs 1540, loss = 4% i v CP = Rs 8640, loss = 12 1 2 % S o l u t i o n : i CP = Rs. 950 Gain = 6% SP = (100 + Gain%) 100 × CP = (100 + 6) 100 × 950 = 106 100 × 950 = 100700 100 = Rs. 1007 i i CP = Rs. 9600 Gain = 16 2 3 % = 50 3 % SP = (100 + Gain%) 100 × CP = 100 + 50 3 100 × 9600 = 350 300 ×9600 = 3360 3 = Rs. 11200 i i i CP = Rs. 1540 Loss = 4% SP = (100 - Loss%) 100 × CP = (100 - 4) 100 × 1540 = 96 100 × 1540 = 147840 100 = Rs. 1478. 40 i v CP = Rs. 8640 Loss = 12 1 2 % = 25 2 % { } { } { } { ( ) } { } { } { } { } SP = (100 - Loss%) 100 × CP = 100 - 25 2 100 × 8640 = 175 200 × 8640 = 1512000 200 = Rs. 7560 Q u e s t i o n : 2 Find the gain or loss per cent when: i CP = Rs 2400 and SP = Rs 2592 i i CP = Rs 1650 and SP = Rs 1452 i i i CP = Rs 12000 and SP = Rs 12800 i v CP = Rs 1800 and SP = Rs 1611 S o l u t i o n : i CP = Rs. 2400 SP = Rs. 2592 Gain = SP - CP = Rs. 2592 -2400 = Rs. 192 Gain% = Gain CP × 100 = 192 2400 × 100 = 8 i i CP = Rs. 1650 SP = Rs. 1452 Loss = CP - SP = 1650 -1452 = Rs. 198 Loss% = Loss CP × 100 = 198 1650 × 100 = 12 i i i CP = Rs. 12000 and SP = Rs. 12800 Gain = SP - CP = 12800 -12000 = Rs. 800 Gain% = Gain CP × 100 = 800 12000 × 100 = 6. 66 { } { ( ) } ( ) ( ) ( ) ( ) ( ) ( ) i v CP = Rs. 1800 SP = Rs. 1611 Loss = CP - SP = 1800 -1611 = Rs. 189 Loss% = Loss CP × 100 = 189 1800 × 100 = 10. 5 Q u e s t i o n : 3 Find the CP when: i SP = Rs 924, gain = 10% i i SP = Rs 1755, gain = 12 1 2 % i i i SP = Rs 8510, loss = 8% i v SP = Rs 5600, loss = 6 2 3 % S o l u t i o n : i SP = Rs. 924 Gain = 10% CP = 100 (100 + Gain%) × SP = 100 (100 + 10) × 924 = 92400 110 = Rs. 840 i i SP = Rs. 1755 Gain = 12 1 2 % = 25 2 % CP = 100 (100 + Gain%) × SP = 100 100 + 25 2 × 1755 = 200 225 × 1755 = 351000 225 = Rs. 1560 i i i ( ) ( ) { } { } { } { ( ) } { } Page 4 Q u e s t i o n : 1 Find the SP when: i CP = Rs 950, gain = 6% i i CP = Rs 9600, gain = 16 2 3 % i i i CP = Rs 1540, loss = 4% i v CP = Rs 8640, loss = 12 1 2 % S o l u t i o n : i CP = Rs. 950 Gain = 6% SP = (100 + Gain%) 100 × CP = (100 + 6) 100 × 950 = 106 100 × 950 = 100700 100 = Rs. 1007 i i CP = Rs. 9600 Gain = 16 2 3 % = 50 3 % SP = (100 + Gain%) 100 × CP = 100 + 50 3 100 × 9600 = 350 300 ×9600 = 3360 3 = Rs. 11200 i i i CP = Rs. 1540 Loss = 4% SP = (100 - Loss%) 100 × CP = (100 - 4) 100 × 1540 = 96 100 × 1540 = 147840 100 = Rs. 1478. 40 i v CP = Rs. 8640 Loss = 12 1 2 % = 25 2 % { } { } { } { ( ) } { } { } { } { } SP = (100 - Loss%) 100 × CP = 100 - 25 2 100 × 8640 = 175 200 × 8640 = 1512000 200 = Rs. 7560 Q u e s t i o n : 2 Find the gain or loss per cent when: i CP = Rs 2400 and SP = Rs 2592 i i CP = Rs 1650 and SP = Rs 1452 i i i CP = Rs 12000 and SP = Rs 12800 i v CP = Rs 1800 and SP = Rs 1611 S o l u t i o n : i CP = Rs. 2400 SP = Rs. 2592 Gain = SP - CP = Rs. 2592 -2400 = Rs. 192 Gain% = Gain CP × 100 = 192 2400 × 100 = 8 i i CP = Rs. 1650 SP = Rs. 1452 Loss = CP - SP = 1650 -1452 = Rs. 198 Loss% = Loss CP × 100 = 198 1650 × 100 = 12 i i i CP = Rs. 12000 and SP = Rs. 12800 Gain = SP - CP = 12800 -12000 = Rs. 800 Gain% = Gain CP × 100 = 800 12000 × 100 = 6. 66 { } { ( ) } ( ) ( ) ( ) ( ) ( ) ( ) i v CP = Rs. 1800 SP = Rs. 1611 Loss = CP - SP = 1800 -1611 = Rs. 189 Loss% = Loss CP × 100 = 189 1800 × 100 = 10. 5 Q u e s t i o n : 3 Find the CP when: i SP = Rs 924, gain = 10% i i SP = Rs 1755, gain = 12 1 2 % i i i SP = Rs 8510, loss = 8% i v SP = Rs 5600, loss = 6 2 3 % S o l u t i o n : i SP = Rs. 924 Gain = 10% CP = 100 (100 + Gain%) × SP = 100 (100 + 10) × 924 = 92400 110 = Rs. 840 i i SP = Rs. 1755 Gain = 12 1 2 % = 25 2 % CP = 100 (100 + Gain%) × SP = 100 100 + 25 2 × 1755 = 200 225 × 1755 = 351000 225 = Rs. 1560 i i i ( ) ( ) { } { } { } { ( ) } { } SP = Rs. 8510 Loss = 8% CP = 100 (100 - Loss%) × SP = 100 (100 - 8 ) × 8510 = 851000 92 = Rs. 9250 i v SP = Rs. 5600 Loss = 6 2 3 % = 20 3 % CP = 100 (100 - Loss%) × SP = 100 100 - 20 3 ×5600 = 300 280 × 5600 = 168000 28 = Rs. 6000 Q u e s t i o n : 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. S o l u t i o n : Cost price of an almirah = Rs. 13600 Transportation cost = Rs. 400 Total cost price = Rs. 13600 +400 = Rs. 14000 Selling price = Rs. 16800 Now, SP > CP Gain = SP - CP = 16800 -14000 = Rs. 2800 Gain % = Gain CP × 100 % = 2800 14000 × 100 % = 2800 140 % = 20 % Q u e s t i o n : 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? S o l u t i o n : Cost price of the house = Rs. 765000 Cost of repairing the house = Rs. 115000 Total Cost price = 765000 +115000 = Rs. 880000 Ravi sold it at a gain of 5%. { } { } { } { ( ) } { } ( ) ( ) { } { } Page 5 Q u e s t i o n : 1 Find the SP when: i CP = Rs 950, gain = 6% i i CP = Rs 9600, gain = 16 2 3 % i i i CP = Rs 1540, loss = 4% i v CP = Rs 8640, loss = 12 1 2 % S o l u t i o n : i CP = Rs. 950 Gain = 6% SP = (100 + Gain%) 100 × CP = (100 + 6) 100 × 950 = 106 100 × 950 = 100700 100 = Rs. 1007 i i CP = Rs. 9600 Gain = 16 2 3 % = 50 3 % SP = (100 + Gain%) 100 × CP = 100 + 50 3 100 × 9600 = 350 300 ×9600 = 3360 3 = Rs. 11200 i i i CP = Rs. 1540 Loss = 4% SP = (100 - Loss%) 100 × CP = (100 - 4) 100 × 1540 = 96 100 × 1540 = 147840 100 = Rs. 1478. 40 i v CP = Rs. 8640 Loss = 12 1 2 % = 25 2 % { } { } { } { ( ) } { } { } { } { } SP = (100 - Loss%) 100 × CP = 100 - 25 2 100 × 8640 = 175 200 × 8640 = 1512000 200 = Rs. 7560 Q u e s t i o n : 2 Find the gain or loss per cent when: i CP = Rs 2400 and SP = Rs 2592 i i CP = Rs 1650 and SP = Rs 1452 i i i CP = Rs 12000 and SP = Rs 12800 i v CP = Rs 1800 and SP = Rs 1611 S o l u t i o n : i CP = Rs. 2400 SP = Rs. 2592 Gain = SP - CP = Rs. 2592 -2400 = Rs. 192 Gain% = Gain CP × 100 = 192 2400 × 100 = 8 i i CP = Rs. 1650 SP = Rs. 1452 Loss = CP - SP = 1650 -1452 = Rs. 198 Loss% = Loss CP × 100 = 198 1650 × 100 = 12 i i i CP = Rs. 12000 and SP = Rs. 12800 Gain = SP - CP = 12800 -12000 = Rs. 800 Gain% = Gain CP × 100 = 800 12000 × 100 = 6. 66 { } { ( ) } ( ) ( ) ( ) ( ) ( ) ( ) i v CP = Rs. 1800 SP = Rs. 1611 Loss = CP - SP = 1800 -1611 = Rs. 189 Loss% = Loss CP × 100 = 189 1800 × 100 = 10. 5 Q u e s t i o n : 3 Find the CP when: i SP = Rs 924, gain = 10% i i SP = Rs 1755, gain = 12 1 2 % i i i SP = Rs 8510, loss = 8% i v SP = Rs 5600, loss = 6 2 3 % S o l u t i o n : i SP = Rs. 924 Gain = 10% CP = 100 (100 + Gain%) × SP = 100 (100 + 10) × 924 = 92400 110 = Rs. 840 i i SP = Rs. 1755 Gain = 12 1 2 % = 25 2 % CP = 100 (100 + Gain%) × SP = 100 100 + 25 2 × 1755 = 200 225 × 1755 = 351000 225 = Rs. 1560 i i i ( ) ( ) { } { } { } { ( ) } { } SP = Rs. 8510 Loss = 8% CP = 100 (100 - Loss%) × SP = 100 (100 - 8 ) × 8510 = 851000 92 = Rs. 9250 i v SP = Rs. 5600 Loss = 6 2 3 % = 20 3 % CP = 100 (100 - Loss%) × SP = 100 100 - 20 3 ×5600 = 300 280 × 5600 = 168000 28 = Rs. 6000 Q u e s t i o n : 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. S o l u t i o n : Cost price of an almirah = Rs. 13600 Transportation cost = Rs. 400 Total cost price = Rs. 13600 +400 = Rs. 14000 Selling price = Rs. 16800 Now, SP > CP Gain = SP - CP = 16800 -14000 = Rs. 2800 Gain % = Gain CP × 100 % = 2800 14000 × 100 % = 2800 140 % = 20 % Q u e s t i o n : 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? S o l u t i o n : Cost price of the house = Rs. 765000 Cost of repairing the house = Rs. 115000 Total Cost price = 765000 +115000 = Rs. 880000 Ravi sold it at a gain of 5%. { } { } { } { ( ) } { } ( ) ( ) { } { } SP = (100 + gain %) 100 × CP = (100 + 5) 100 × 880000 = 105 100 × 880000 = Rs. 924000 He gets Rs. 924000. Q u e s t i o n : 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. S o l u t i o n : CP of 12 lemons d o z e n = Rs. 25 CP of one lemon = Rs. 25 12 CP of five lemons = 5 ?× 25 12 = 125 12 = Rs. 10. 42 SP of five lemons = Rs. 12 g i v e n Gain = SP - CP = 12 -10.42 = Rs 1.58 Gain % = Gain CP × 100 % = 1.58 10.42 × 100 % = 15.2% Q u e s t i o n : 7 The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent. S o l u t i o n : Let the cost price of the pen be Re 1. Cost price of 12 pens = Rs 12 SP of 12 pens = CP of 15 pens = Rs 15 Gain = SP - CP = Rs 15 -12 = Rs 3 Gain % = Gain CP × 100 % = 3 12 × 100 % = 25 % Gain% = 25% { } { } ( ) ( ) ( ) ( )Read More
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1. What is profit and loss in mathematics? |
2. How do you calculate profit and loss? |
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4. What is the difference between gross profit and net profit? |
5. How is profit and loss related to everyday life? |
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