Let the quantity of the wine in the cask originally be x liters. Then, quantity of wine left in cask after 3 operations = [x {1 - (15/x)}3] liters Therefore, [x {1 - (15/x)}3 /x] = 8/27 [1 - (15/x)}2] = (2/3)3 x = 45 The original quantity of cask = 45 liters
The average of n numbers is 62. If each of 55% of the numbers is increased by 18 and each of the remaining numbers is decreased by 12, then the n...
In an examination, the average marks obtained by the students is 40. After correcting the quantitative mistakes, the average of 60 students is reduced ...
Average run scored by a batsman in 14 innings is 80. In next 6 innings, he scored runs with an average of ‘x’ so that his overall average increases ...
The average weight of 4 persons is 44 kg. The heaviest person’s weight is 30 kg more than the lightest person’s weight. If the average weight of the...
The average weight of 7 men decreases by 3 kg when one of them weighing 150 kg is replaced by another person. Find the weight of the new person
The average age of a class of 23 girls is 15 years. If 2 new girls having average age of 10 years join the class, then the average age of the class beco...
A man purchases cold-drink for three consecutive years. In the first year, he purchases cold-drink at the rate of ₹ 8.00 per litre, in the second year...
Average weight of 17 nurses is 48 kg. If the weight of one more nurse is included, then average weight is increased by 1 kg. Find the weight of the newl...
Average weight of each student, in a class of 70 students, is 86kg. If the ratio of number of boys and girls in the class is 4:3, respectively and avera...
The average of 9 numbers is 100. The average of the first 4 numbers is 65 and the average of the last 4 numbers is 40. What is the 5th number?
