Alligation or Mixture problems A shopkeeper has 100 kgs of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part. 25 kgs 20 kgs 40 kgs 30 kgs 25 kgs 20 kgs 40 kgs 30 kgs ANSWER EXPLANATION DOWNLOAD EXAMIANS APP As per figure, we can calculate as below.Quantity sold at 20% profit = 3 / (3 + 2) × 100 = 60 kgs. Quantity sold at 5% loss = (100 ? 60) = 40 kgs.
Alligation or Mixture problems Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture? 52.3 49.6 51.2 50.7 52.3 49.6 51.2 50.7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20
Alligation or Mixture problems A grocer buys two kind of rice at Rs. 1·80 and Rs. 1·20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1·75 per kg, 25 % may be gained? 3 : 2 1 : 2 2 : 1 3 : 4 3 : 2 1 : 2 2 : 1 3 : 4 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture. 29 % 26 % 21 % 27 % 29 % 26 % 21 % 27 % ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135 X = 27 So, required percentage of benzene = 27 %
Alligation or Mixture problems A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive? 4 : 1 1 : 5 2 : 3 1 : 4 4 : 1 1 : 5 2 : 3 1 : 4 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit %? 20% 22.5% 25% 33.33% 20% 22.5% 25% 33.33% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP As water costs free, water sold at cost price of milk gives the profit. Required profit % = 5/20 x 100 = 5 x 5 = 25%.
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