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. 8 kg 3 kg 4 kg 5 kg 8 kg 3 kg 4 kg 5 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 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. 2750 and Rs. 2250 Rs. 3000 and Rs. 2000 Rs. 2000 and Rs. 3000 Rs. 2500 and Rs. 2500 Rs. 2750 and Rs. 2250 Rs. 3000 and Rs. 2000 Rs. 2000 and Rs. 3000 Rs. 2500 and Rs. 2500 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
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? 2 : 3 1 : 5 4 : 1 1 : 4 2 : 3 1 : 5 4 : 1 1 : 4 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%? 8 9 10 12 8 9 10 12 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 Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle? 73 : 106 73 : 113 73 : 189 73 : 116 73 : 106 73 : 113 73 : 189 73 : 116 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container. 26.34 litres 29.16 litres 28 litres 27.36 litres 26.34 litres 29.16 litres 28 litres 27.36 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Amount of milk left after 3 operations 40 1 - 4 40 3 = 40 * 9 10 * 9 10 * 9 10 = 29 . 16 litres
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