Alligation or Mixture problems A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x? 4 2 1 3 4 2 1 3 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result? 31 : 21 21 : 31 13 : 12 12 : 13 31 : 21 21 : 31 13 : 12 12 : 13 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is 1 litre 3 litres 4 litres 5 litres 1 litre 3 litres 4 litres 5 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total quantity of mixture = 75 litre Milk : Water = 4 : 1 3 : 1
Alligation or Mixture problems A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel. 5 kg 8 kg 4 kg 3 kg 5 kg 8 kg 4 kg 3 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg
Alligation or Mixture problems How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre? 5 10 None of these 8 5 10 None of these 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x litre pepsi is required. (10-9)=1 : 3=(9-6) Therefore in 1:3 one part = 5 => x= 5 litres
Alligation or Mixture problems A person has Rs. 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs. 750. Find the sum invested at different rates of interest. Rs. 3000 and Rs. 2000 Rs. 2500 and Rs. 2500 Rs. 2000 and Rs. 3000 Rs. 2750 and Rs. 2250 Rs. 3000 and Rs. 2000 Rs. 2500 and Rs. 2500 Rs. 2000 and Rs. 3000 Rs. 2750 and Rs. 2250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average rate of interest = (100 * 750) / (5000 * 3) = 5% per annual Investment at 3% per annual = 3 / (3 + 2) × 5000 = Rs. 3000 Investment at 8% per annual = 2 / (3 + 2) × 5000 = Rs. 2000
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