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As, a2 + b2 = (a + b)2 – 2ab ------------- (1) (1/a) – 2b = 5/a 1/a – 5/a = 2b - 4/a = 2b 2ab = - 4 Substitute the values of 2ab and a + b in (1) a2 + b2 = 1 - (-4) = 5
If the numerator of a fraction is increased by 16.66 % and denominator decreased by 14.28 % then, it becomes the reciprocal of itself. Find the original...
A spent 30% and 20% of his monthly salary on food and rent, respectively. Of the remaining amount, he gave 21% and 14% to his mother and brother, respec...
The price of a laptop undergoes two consecutive changes over two months. In the first month, its price decreases by 10%, followed by an increase of 20% ...
A batsman scored 124 runs, which included 6 boundaries and 10 sixes. What percentage of his total score did he make by running between the wickets?
Virat allocates his income as follows: he spends 35% on rent and 25% on groceries. From the amount he has left, he donates 25% and saves the remainder. ...
If X = 75% of Y and Y = 125% of Z, then find the ratio of X to that of Z.
In a job fair, 50% of the people are graduates, one fifth of them are post graduates and rest are double graduates. If three-fourth of the graduates, 60...
In a shop, there are a total of 15,000 chip packets. Out of these, 28% are Green Lays packets, and out of the remaining, 75% are Red Lays packets, and t...
If the income & expenditure ratio of a person is 12 : 7, if the income increases by 16.66 % and saving will increase by 20%, then how much percent e...
In a class of 80 students, 60% are boys, and the remaining are girls. Out of the boys, 25% are good in mathematics, and out of the girls, 50% are good i...
