Aptitude Solved Problems - Profit and Loss
Aptitude Solved Problems - Profit and Loss
1. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. Find his profit percent ?
Answer: 5 %
Explanation:
Cost Price of 26 kg of rice = ( 26 * 20 )
= Rs. 520
Cost Price of 30 kg of rice = ( 30 * 36 )
= Rs. 1080
Cost Price of 56 kg rice = Rs. ( 520 + 1080 )
= Rs. 1600
Selling Price of 56 kg rice = Rs. ( 56 * 30 )
= Rs. 1680
Gain = Selling Price - Cost Price
= 1680 - 1600
= 80
Gain % = ( Gain * 100 ) / Cost Price
= ( 80 * 100 ) / 1600
= ( 8000 / 1600 )
= ( 80 / 16 )
= 5 %
2. Vimal bought paper sheets for Rs. 7200 and spent Rs. 200 on transport. Paying Rs. 600, he had 330 boxes made, which he sold at Rs 28 each. Find his profit percentage ?
Answer: 15.5 %
Explanation
Total investments ( Cost Price ) = ( 7200 + 200 + 600 )
= Rs. 8000
Total receipt ( Selling price ) = ( 330 * 28 )
= Rs. 9240
Gain = Selling Price - Cost Price
Gain = ( 9240 - 8000 )
= Rs. 1240
Gain % = ( Gain * 100 ) / Cost Price
= ( 1240 * 100 ) / 8000
= ( 124000 / 8000 )
= ( 124 / 8 )
= 15.5 %
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3. Aravind bought a suitcase with 15% discount on the labeled price. He sold the suitcase for Rs. 2880 with 20% profit on the labeled price. At what price did he buy the suitcase ?
Answer: Rs. 2040
Explanation:
Selling Price = Rs. 2880
120% of Cost Price = 2880
Selling Price = (( 100 + Gain % ) / 100 ) * Cost Price
Cost Price = ( Selling Price * 100 ) / ( 100 + Gain % )
Cost Price = ( 2880 * 100 ) / ( 100 + 20 )
= ( 288000 / 120 )
= Rs. 2400
Cost Price = ( 85 % of 2400 )
= (( 85 / 100 ) * 2400 )
= (85 * 24 )
= Rs. 2040
4. Find Cost Price when Selling Price is Rs 40.60 and gain is 16% ?
Answer: Rs. 35
Explanation:
Cost Price = ( 100 * Selling Price ) / ( 100 + gain % )
Cost Price =( 100 * 40.60 ) / ( 100 + 16 )
= ( 4060 / 116 )
= Rs. 35
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