Mrunal [Aptitude] Alligation: Advanced applications in Interest rates, Prof...1 of 7 http://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av... [Aptitude] Alligation: Advanced applications in Interest rates, Profit-loss, Average Wages (Wine-Water Concept) 1. 2. 3. 4. 5. 6. Case: Loan taken from two banks Case: Profit on Single commodity Case: No. of Employees based on Avg Salary Case: Profit on Two commodities Summary Mock Questions Consider these four questions 1. Dr.Haathi has taken some loan from State bank of India at 8% interest rate per annum.He has also borrowed some money from ICICI at 10% interest.The total loan amount is Rs.10,000. He pays total Rs.950 as interest rate at the end of first year.How much money did he borrow from the State bank of India? 2. Jethalal purchased some mobile phone memory cards for Rs.1000. He sold memory cards worth rupees worth Rs.400 at 10% profit.At what percent profit should he sell the remaining memory cards, to gain overall profit of 20%? 3. Roshan Singh Sodhi is the owner of a big hotel. The average salary of all employees is Rs.8500. The average salary of 7 cooks is Rs.10,000.If the average salary of remaining employees, is Rs. 7800. Find the total number of people employed by Roshan Singh Sodhi. 4. Bhide master bought a set of laptop and printer for Rs.20000.He sold the laptop for 20% profit and printer for 10% loss.Overall, he made 2% profit. Find the cost price of laptop. Superficially, ^these questions seem different from one another. But if you pay close attention, these are all problems of weighted average. We can quickly solve them using the allegation (wine and water mixture) method. Case #1: Loan taken from two banks Dr.Haathi has taken some loan from SBI at 8% interest and ICICI at 10% interest. The total loan amount is Rs.10,000. He pays total Rs.950 as interest rate at the end of first year. How much money did he borrow from the SBI The question is mentioning two interest rates: 8% and 10% the effective interest rate, that Dr Haathi has to pay, will be in between these two numbers 8 and 10. The question also says that he paid Rs.950 as interest rate. So in terms of percentage he has paid 7/28/2014 10:27 AM . you get SBI / ICICI =1/3 Apply Componendo at bottom But we know that SBI + ICICI=Rs. He sold memory cards worth rupees worth Rs.1000. Meaning the cost price of 7/28/2014 10:27 AM .org/2013/01/aptitude-alligation-interest-rates-profit-loss-av.2500 from SBI Bank. SBI =10. 2 of 7 http://mrunal.Haathi has borrowed Rs. to gain overall profit of 20%? He already made 10% profit on part of his card.5=SBI …eq 1 Similarly 9.5 10 Bank SBI Overall ICICI Now apply the “visual move” of Wine and water mixture 10-9. 1 with eq 2 If you simplify this further.eq 2 (donot make mistake of 8-9.000 that Dr.Mrunal [Aptitude] Alligation: Advanced applications in Interest rates.. If he wants to have overall (average) profit of 20% then he must sell the remaining cards at a profit higher than 20% The question says he sold cards worth Rs. Arrange these numbers in to ascending (increasing) order Interest rate% 8 9.10.400 (cost price). (950/10000) x 100 =9.000/4=Rs.2500 It means Dr. Verifying the answer and concept Amount borrowed SBI 2500 ICICI 10k-2500=7500 Total 8500 Interest rate 8% of 2500=200 10% of 7500=750 200+750=Rs.5 because we donot want negative difference) Divide eq.400 at 10% profit. At what percent profit should he sell the remaining memory cards.Haathi has borrowed! Plug in the value SBI /10000 = ¼ Therefore.950 paid in interest = matches the question Description!0 Case: Profit on Single commodity Jethalal purchased some mobile phone memory cards for Rs. Prof...5-8=ICICI….5% interest rate (overall). 40 26 (2/3)% x 600=Rs.8500. And we already know there are 7 cooks.. remaining cards is 1000-400=Rs. The average salary of 7 cooks is Rs. of Employees based on Avg Salary Roshan Singh Sodhi is the owner of a big hotel.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av. If the average salary of remaining employees.. Draw the table. 3 of 7 http://mrunal. Profit 10% 20% M% Overall Cards worth (cost price) 400 1000-400=600 Apply the visual move of wine-water mixture M-20=400…. if Jethalal wants to make overall profit of 20%.. he must sell the remaining memory cards @26 (2/3)% interest rate.000.10. Verifying the answer Cards already sold @10% interest Remaining cards sell @26 (2/3) Total profit 10% x 400=Rs. So remaining employees = total minus 7 = m-7. The question is talking about three sets of salaries 7800 > 8500 (average) >10000 Suppose total number of employees =m.1000 so it matches our question condition. Find the total number of people employed by Sodhi. And 200 is 20% of Rs.000 minus 8500 = (m-7)…eq1 8500 minus 7800=7…eq2 Now Divide equation 1 with equation 2 7/28/2014 10:27 AM . Case: No. 7800.160 Rs 40 +160 =200.eq1 20-10=600…. is Rs..eq2 (donot make mistake of 10-20 because we don’t want negative) Now Divide equation 1 with equation 2 Meaning.Mrunal [Aptitude] Alligation: Advanced applications in Interest rates. Salary (Rs.) 7800 8500 10000 Overall Employees (total =m) m-7 7 cooks Apply the visual move 10. The average salary of all employees is Rs. Prof.600 Draw a table. 17. 4 of 7 http://mrunal. Overall. Case: Profit on Two commodities Bhide master bought a set of laptop and printer for Rs.000 70k+1. So we’ll apply componendo @top But question already said hat total investment (cost price) of printer +laptop =Rs. you get the ratio printer/laptop=3/2 we’re interested in the Cost price of laptop.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av.. Find the cost price of laptop.2 When you simplify it further..000 Avg salary of all employees =(Total salary paid)/(Total number of employees) =187000/22 =Rs.20000 Plug in the value 20000/laptop=5/2 Therefore cost price of laptop=(2/5) x 20000=Rs. Approach We’ll take 10% loss =-10% Now the question is talking about three rates : -10% .Mrunal [Aptitude] Alligation: Advanced applications in Interest rates. Just divide eq.8000 7/28/2014 10:27 AM .000=1. Prof. He sold the laptop for 20% profit and printer for 10% loss.1 with eq.. Total number of employees is 22. Verification Number Cooks 7 Others 15 Total 15+7=22 Avg.8500 = matches the question condition. Just apply the visual move BUT with care! 20 minus 2=printer…eq 1 Be Careful while approaching second equation 2 minus (-10)=laptop 2-(-10)=laptop Hence 2+10=laptop …eq2 Rest is easy. salary 10000 7800 – Total cost to Sodhi 7 x 10k=70k 1..20000.17. you get m=22 Therefore. When you simplify this further. +2% (avg) and +20% Profit/loss -10% 2% 20% Overall Cost price Printer Laptop That’s it. he made 2% profit.87. Overall he gained Rs. total number of students is 60. Total amount borrowed Money borrowed from Mehta Money borrowed from Mohan Effective interest rate on total borrowing? Case: Jethalal bought a chair+table set @Rs.5kg. If total number of students is 30. how many boys study in Tappu’s class? 11.100.000 =(400/20000) x 100 =2% profit= matches the condition given in question statement. Popat paid total interest of Rs. Apply “visual” move and get the answer. Overall average weight of all students is 74 kg. If school administration wants to have equal number of boys and girls in this class. as profit So overall he received Rs. 5 of 7 http://mrunal.. Mock Questions Case: Journalist Popatlal took some loan from Matkaa-King Mohanlal @36% interest rate and some loan from Taarak Mehta @10% interest rate.000 Total 20. Find Ratio of Boys: girls 10. Summary Weighted average method works when we’ve 3 rates (including one average) and 2 quantities.400 profit on the investment of Rs. 70kg respectively. Later he sold Chair @10% loss and table @10 profit.912. 4.000-8000=12.6000.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av.. Answer following questions 5. Prof.Mrunal [Aptitude] Alligation: Advanced applications in Interest rates. Then draw the table with corresponding rates and quantities. 7. 2. 6. First arrange the rates in ascending order. the average weight of boys and girls is 77. Verification Cost price Laptop 8. 3..000 Printer 20.20. Answer following questions 1. At the end of first year. how many new girls should be admitted? 7/28/2014 10:27 AM . 9.. Cost price of Chair Cost price of Table Selling price of Chair Selling Price of Table Case: In Tappu’s class.6000. Total money borrowed Rs.00 Profit/loss 20% profit on 8k=1600 10% loss on 12k=Minus 1200 1600-1200=+400 Rs. 8. At present. 16 boys and 14 girls.9 x2500=2250 School 9. total number of Desi-liquor dens and Land mafias is 100.1650 crores bribe to home minister every year.5 Now the rates are 15>>16. Final total bribe paid by these land mafias 14. 12. 6 of 7 http://mrunal.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av. 14. What is the new ratio of liquor den: land mafias? Case: A parking lot has only cars and bikes. If 5 cars are added and 5 bikes are removed. Total borrowed Rs. Average bribe paid by each Desi-liquor den and land mafia is 15 crores and 20 crores respectively.. 20% of 1650=330. They pay total Rs. Avg. 4 new girls need to be admitted. Home minister 12. 30 mafia x avg 20 crores=600 crores paid by them. Since total are 100.5>>20. annual bribe is 1650/100=16. Now his total bribe income declined by 20%... 7. 15. 6. Prof.Mrunal [Aptitude] Alligation: Advanced applications in Interest rates.2% interest rate (overall) Jetha 5. Cost price Chair =2500 CP Table= 3500. There are 55 bikes in this parking plot. 8. what’ll be the new average number of tires per vehicle? Answers Popat in debt 1. the home minister orders police to close down some of the desi-liquor dens. of tires per vehicle=3 7/28/2014 10:27 AM . 6000 4800 from Mehta 1200 from Mohanlal. So new ratio is (70-22):30=48:30=8/5 Parking lot 15. Ratio of liquor-dens:mafia=7:3. Average number of tires per vehicle is 2. Case: In a state. New avg. 11.9. Owing to media-pressure. Selling price of Table (+10% profit)=1. 4. no. Number of cars=45. Find total number of cars 16. 2. 15. And 330/15=22 liquor dens were closed down.1 x 3500=3850 Selling price of Chair (-10% loss)=0. 16.. Boys/Girls=8/7 10. number of Mafia=3/10 x 100=30. 13. Find total number of land mafias in this state 13. 3. org/aptitude URL to article: http://mrunal.Mrunal [Aptitude] Alligation: Advanced applications in Interest rates.org/2013/01/aptitude-alligation-interest-rates-profitloss-average-wages-wine-water-concept. 7 of 7 http://mrunal.. Prof. For the Archive of all [Aptitude] Articles.org/2013/01/aptitude-alligation-interest-rates-profit-loss-av.. visit Mrunal...html Posted By On 19/01/2013 @ 14:28 In the category Aptitude 7/28/2014 10:27 AM .
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