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Q: The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over years 2009 to 2013. Production of Sugar by Companies P, Q and R during 2009 - 2013 1. The percentage increase in production of Company Q from the year 2009 to the year 2013 is : 1. 80%              2. 90%              3. 60%              4. 100% 2. The average production over the years 2009 - 2013 was maximum for the Company(ies): 1. Q                   2. P                   3. R                   4. P and R 3. The percentage rise or fall in production of Company Q as compared to the previous year is the maximum in the year : 1. 2011             2. 2010             3. 2013             4. 2012 4. The percentage of production of Company R to Production of Company Q is the maximum in the year 1. 2010             2. 2009             3. 2011             4. None of these 5. The ratio of the average production of Company P during the years 2011 to 2013 to the average production of Company Q for the same period is : 1. 23 : 25          2. 27 : 29          3. 15 : 17          4. 9 : 11 1243 0

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1. Answer : 4  Explanation : Required Percentage =100-5050×100= 100%    2. Answer : 4  Explanation : The average production of P = 60+90+50+100+805= 76  The average production of Q =50+70+70+80+1005  = 74  The average production of R = 70+80+90+70+705 = 76 Maximum average production = P and R both    3. Answer : 2  Explanation : The percentage rise in 2010 =70-5050×100 = 40%  The percentage rise in 2011 = 70-7070×100= 0%  The percentage rise in 2012 = 80-7070×100= 14.28%  The percentage rise in 2013 =100-8080×100 =25%    4. Answer : 2 Explanation : The percentage of production of Company R to production of Company Q   in 2009 =7050×100 = 140  in 2010 =8070×100 = 114.28  in 2011 =9070×100 = 128.57  in 2012 = 7080×100= 87.5   in 2013 = 70100×100= 70      5. Answer : 1 Explanation : Average production of company P during the years 2011 to 2013 =50+100+803 = 2303  Average production of company Q during the years 2011 to 2013 =70+80+1003 = 2503 Required ratio = 23 : 25

Q: Study the given bar graph and pie chart to answer the following questions. The bar graph shows the production (in thousand tonnes) of Wheat, Rice and Maize in different states. The pie-chart shows the percentage of agricultural land in the given six states. Productivity =  1.The productivity of which state is the maximum ? 1. Bihar       2. Haryana     3. Punjab     4. UP       5. MP   2.The production of which state is the maximum ? 1. Bihar       2. MP         3. Haryana       4. UP       5. Punjab   3.The prodution of wheat in punjab is what per cent more than the production of Maize in odisha ? 1. 350%       2. 250%       3. 300%       4. 200%       5. 400%   4.What is the ratio of the production of Rice in Bihar to the production of Wheat in Haryana ? 1. 2:3           2. 3:2           3. 2:1           4. 1:1             5. 1:2   5.If MP exports 40% of Rice at the rate of Rs.30 per kg and UP exports 30% of Rice at the rate of Rs.32 per kg, then what is the ratio of the income from the exports ? 1. 65:48       2. 31:42       3. 43:54       4. 57:62       5. 1:2 3564 0

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1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land  Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000   Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000   Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000  Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000   Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000   Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000  The Productivity of Haryana is the maximum.       2. Answer : 5   Explanation : Production of Punjab is maximum = 105000 tonnes      3. Answer : 3  Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300%      4. Answer : 4  Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1       5. Answer : 1   Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore  Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

Q: Study the pie - chart carefully to answer the questions below : The Pie chart shows the percentage quantity of fruits at two fruit shops A and B 1. What is the difference between the quantity of Guava at Shop B and that at Shop A ? 1. 40 Kg         2. 45 kg         3. 35 kg         4. 30 kg         5. 50 kg   2. If the price of Mango is Rs. 30 per kg, Apple Rs.40 per kg and orange Rs.20 per kg, then what is the ratio of their costs at Shop A? 1. 1 : 4 : 6      2. 9 : 8 : 5      3. 3 : 7 : 8      4. 5 : 4 : 1      5. 2 : 5 : 7   3. The quantity of Mango at Shop B is what per cent of the quantity of Mango at Shop A ? 1. 20%           2. 220%         3. 120%         4. 80%            5. 180%   4. If the price of Mango is Rs.30 per kg, Apple Rs. 40 per kg, orange Rs.20 per kg, Other fruits Rs.15 per kg and Guava Rs. 18 per kg for both Shop A and B, then what is the difference between the cost of all fruits at Shop A and that at Shop B ? 1. Rs.7200     2. Rs.3500     3. Rs. 6400     4. Rs.5100     5. Rs.4600   5. The quantity of Orange at Shop A is what percent more than that of Apple at Shop B ? 1. 161.52%     2. 195.5%     3. 182%         4. 190%         5. 171.42% 1207 0

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1. Answer : 1 Explanation :  Quantity of Guava at Shop A = 1200×10100 = 120 kg  Quantity of Guava at Shop B = 1000×16100= 160 kg Therefore, Required difference = 160 - 120 = 40 kg   2. Answer : 2 Explanation : Cost of Mango at Shop A = 30×1200×24100= Rs. 8640  Cost of Apple = 40×1200×16100 = Rs. 7680  Cost of Orange = 20×1200×20100 = Rs.4800  Therefore, Required Ratio = 8640 : 6780 : 4800  = 9 : 8 : 5    3. Answer : 3  Explanation : Quantity of Mango at Shop B = 1000×24100 = 240 kg  Quantity of Mango at Shop A =1200×24100 = 288 kg  Therefore, Req % = 288×100240 = 120% of the quantity of Mango at Shop A   4. Answer : 4  Explanation : Cost of total fruits at Shop A = Cost of Mango + Cost of Apple + Cost of Guava + Cost of orange + Cost of other fruits  =1200×24100×30 + 1200×16100×40 + 1200×10100×18 + 1200×20100×20 + 1200×30100×15  = Rs. 28680  Cost of Total Fruits at Shop B =1000×24100×30 + 1000×14100×40 + 1000×16100×18 + 1000×20100×20 + 1000×26100×15 = 7200 + 5600 + 2880 + 4000 + 3900  = Rs. 23580 Therefore, Req.difference = 28680 - 23580 = Rs.5100   5. Answer : 5 Explanation: Quantity of Orange at Shop A = 1200×20100 = 240 kg  Quantity of Apple at Shop B =1000×14100 = 140 kg  Therefore, Req % = 240×100140 = 171.42% more than the quantity of Apple at Shop B.

Q: Study the following pie-charts to answer the following questions : The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively. 1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ? 1.Rs.2200000       2. Rs.1900000       3. Rs.2160000       4. Rs.1850000       5.Rs.2250000   2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ? 1. Rs.14000     2. Rs.16000     3. Rs.13000     4. Rs.15000     5. Rs.15500   3.What is the ratio of tax paid by Company A to that by Company B ? 1. 35:18           2. 34:37           3. 42:41           4. 31:27           5. 27:25   4.What is the difference between the expenditure on employees of Company B and that of Company A? 1.Rs.4300000       2. Rs.6400000       3. Rs.5900000       4. Rs.8700000       5.Rs.7800000   5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A? 1. 67%             2. 84%             3. 75%             4. 77%             5. 80% 12594 0

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1. Answer : 3  Explanation : Expenditure of Company B = 60 lakh   Income of Company B = 60×180100= 108 lakh = 1 crore 8 lakh  Income of Company A  = 10800000×45 = Rs. 8640000  Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000      2. Answer : 1  Explanation :  Total expenditure on the employees of company A = 5000000×28100 = Rs.1400000  Average Salary of the employees  = 1400000100 = Rs.14000    3. Answer : 1  Explanation : Tax paid by Company A : Tax paid by Company B  = 5000000×14100: 6000000×6100  = 700000 : 3600000  = 35 : 18    4. Answer : 2  Explanation : Difference = 6000000×34100-5000000×28100  = 2040000 - 1400000 = Rs.640000   5. Answer : 5  Explanation :  Expenditure on Machine and Electricity of Company B = 6000000×18100 = Rs.1080000 = 10.8 lakh  Expenditure on Machine and Electricity of Company A = 5000000×12100 = Rs.600000 = 6 lakh  Therefore, Required % = 1080000-600000600000×100  % = 4860×100% = 80%  Hence expenditure of Company B is 80% more than Company A.

Q: A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure. 1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio. 1. 1 : 3             2. 3 : 1             3. 2 : 1             4. 1 : 2 2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip? 1. 2                     2. 1                    3. 3                     4. 4 3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ? 1. 20.16             2. 19.02             3. 18.51             4. 18.59 4. The overall average speed of the entire trip excluding stoppage time is nearly : 1. 75 km/h        2. 81 km/h        3. 46 km/h        4. 65 km/hr 5. What percent of time of the entire trip was actually spent travelling between the cities ? 1. 91.8%             2. 7.6%             3. 76%               4. 24% 3435 0

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1. Answer : 4 Explanation : Required ratio = 10+2+510+15+10=1735≈12=1:2    2. Answer : 1 Explanation :  A to B Speed =140×35  = 84   B to C Speed = 91×34 = 68.25  C to D Speed = 149×60103 = 86.796   D to E Speed = 88×34 = 66   E to F Speed =  106×45= 84.8   F to G Speed = 1762 = 88   G to h Speed =  110×45= 88   Average speed of entire trip = 84+68.25+86.796+66+84.8+88+887 =80.83    3. Answer : 3  Explanation :  Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52  Total half time, if the train stops at each city for 50% more=52×150100=78  Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51   4. Answer : 2   Explanation : Average speed = 84+68.25+86.796+66+84.8+88+887=80.83=81 km/hr   5. Answer : 1  Explanation :  Required percentage of time = 1.40+1.20+1.43+1.20+1.15+2+1.1518.25-7×100= 10.2311.25×100 = 91.8 %

Q: Study the table below to answer these questions. Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings. 1. By how much do the borrowings of Company B exceed that of Company A ? 1. Rs. 1,210,000      2. Rs.1,320,000      3. Rs.1,000,000      4. Rs.1,100,000 2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ? 1. Rs.23 lakh          2. Rs.32 lakh           3. Rs.320 lakh         4. Rs.230 lakh 3. The profit of E is more/less than that of C by _____ % 1. 33.3% less          2. 33.3% more        3. 25% less            4. 25% more 4. What is the sum of profits made by Companies A and B ? 1. Rs.500 lakh       2. Rs.600 lakh       3. Rs.700 lakh       4. Rs.800 lakh 5. What is the sum of the borrowings of all five companies ? 1. Rs.146 lakh      2. Rs.14.6 lakh      3. Rs.14.6 crore      4. None of these 1081 0

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1. Answer : 4 Explanation : Let the borrowing of Company A = x Interest of Company A = 234000 Rate of Interest = 18%  ∴x×18100=234000     ⇒x=1300000   Let the borrowing of Company B = y  Interest of Company B = 576000 Rate of interest = 24% ∴y×24100=576000     ⇒y=2400000   Required difference = y - x = 2400000 - 1300000 = Rs. 1100000      2. Answer : 2  Explanation :   Let the profit of Comapny B = 100%  Dividend Payout ratio(%) of B = 19.60  Remaining percent i.e retained earning = 100 - 19.60 = 80.4%  According to question, 80.4% = Rs.402 lakh  100% = Rs.500 lakh  Therefore,  Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh    Let the profit of company D = 100%  Dividend payout ratio (%) of D = 32.50   Remaining percent i.e retained earning = 100 - 32.50 = 67.5%   According to question, 67.5% = Rs. 270 lakh   100% = Rs. 400 lakh  Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh   Required difference = 130 - 98 = Rs. 32 lakh      3. Answer : 3 Explanation :  Let the profit of Company C = 100%  Dividend payout ratio of C = 8.75%  Remaining percent i.e, retained earning = 100 - 8.75 = 91.25  According to question, 91.25% = Rs. 365 lakh  100% = Rs. 400 lakh  Therefore, Profit of C = Rs. 400 lakh   Let the profit of company E = 100%  Dividend payout ratio of E = 28%  Remaining percent i.e retained earning = 100 - 28 = 72%  According to question, 72% = Rs.216 lakh  100% = Rs.300 lakh Therefore, Profit of E = Rs. 300 lakh  Required percentage = 100400×100 = 25% less     4. Answer : 3  Explanation :   Profit made by company A = Rs. 200 lakh  Profit made by company B = Rs. 500 lakh   Required Sum = 200 + 500 = Rs. 700 lakh      5. Answer : 4  Explanation :   Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

Q: How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter ? 6088 0

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Explanation :

Apply Allegation Method and first calculate the ratio in which they have to be mixed. = 8 : 12 = 2 : 3 Thus, the two varieties of oil should be mixed in the ratio 2 : 3. So, if 240 liters of the second variety are taken, then 160 liters of the first variety should be taken.

Q: In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg ? 4171 0

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= 4 : 2 = 2 : 1 Thus, the two varieties should be mixed in the ratio 2 : 1

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