Alligation or Mixture problems In what proportion water must be added to spirit to gain 20% by selling it at the cost price? 1:7 1:5 1:8 1:6 1:7 1:5 1:8 1:6 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container? 87.62 lit 87.48 lit 87.51 lit 88.01 lit 87.62 lit 87.48 lit 87.51 lit 88.01 lit ANSWER EXPLANATION DOWNLOAD EXAMIANS APP For these type of problems, Quantity of Diesel remained = q 1 - p q n Here p = 12 , q = 120 => 120 1 - 12 120 3 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.
Alligation or Mixture problems A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is: 1/3 2/5 2/3 3/5 1/3 2/5 2/3 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By the rule of alligation, we have: Strength of first jar Strength of 2nd jar 40% MeanStrength 26% 19% 7 14 So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2 ∴ Required quantity replaced = 2 3
Alligation or Mixture problems The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases? 24 21 12 25 24 21 12 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Therefore x = 21%
Alligation or Mixture problems A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold? 50 l 62 l 58 l 65 l 50 l 62 l 58 l 65 l ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the tin contain 5x litres of liquids 5 x - 45 x 4 5 5 x - 45 x 1 5 + 45 = 2 5 => 5(4x - 36) = 2(x + 36) => 20x - 180 = 2x + 72 => x = 14 litres Hence, the initial quantity of mixture = 70l Quantity of liquid B = 70 - 45 x 1 5 + 45 = 50 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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