# Solution suppose the price of milk 1 rs per ml

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Solution:Suppose the price of milk = 1 Rs per ml shopkeeper takes 120 ml, and pays only Rs.100While selling he gives only 75 ml and shows 100 ml.Total selling price of 120 ml100/75×120 = 160, hence percentage profit = 60%Example 4:A sells an item at a profit of 20% to B and B sells it to C at a profit of 10%. Find theresultant profit percent?Solution:When there are two successive profit of x% and y% , net profit percentage= {x+y+(xy/100)}= 20+ 10 + {(20 x 10)/100} = 32%Example 5:The cost price of 25 articles is equal to selling price of 20 ar-ticles. The gain percent is?Solution:Profit percentage = (x-y/y) * 100%%Gain = {(25-20)/20} x100 = 5/20 x 100 = 25%Example 6:A man sold an article at a loss of 20%. If he has sold that article for Rs. 12 more hewould have gained 10%. Find the cost price of that articleSolution:Let the CP be xSP at 20% loss = Rs 0.8x
72Department of Analytical Skills0.8x + 12 = 1.1x=>0.3x = 12=> x = Rs 40Example 7:In a transaction, the profit percentage is 80% of the cost. If the cost further increases by20% but the selling price remain the same, how much is the decrease in profit percentage?Solution:Let us assume CP = 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%.Example 8:A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Findhis gain or loss percent.Solution:Cost price of 10 toys = Rs. 40 → CP of 1 toy = Rs. 4.Selling price of 8 toys = Rs. 35 → SP of 1 toy = Rs. 35/8Therefore, Gain = 35/84 = 3/8.Gain percent = (3/8)/4 * 100 = 9.375%Example 9:A shopkeeper allows a discount of 10% on the marked price and still gains 17% on thewhole. Find at what percent above the cost price he marked his goods.Solution:Let the cost price be 100. Then SP = 117.Let the marked price be x.So, 90% of x = 117 → x = 130.Therefore, he marked his goods 30% above the cost price.Example 10:A shopkeeper offers a discount of 20% on the selling price. On a special sale day, heoffers an extra 25% off coupon after the first discount. If the article was sold for Rs. 3600, findI. The marked price of the article andII. The cost price if the shopkeeper still makes a profit of 80% on the whole after all discounts areapplied.Solution: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.Cost price of the article = [100 / (100+80)]*3600 = Rs. 2000.
73Department of Analytical SkillsLEVELI

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Prime number, Department of Analytical Skills