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Given; {x + (1/x)} = 6 On squaring both sides, we have; {x + (1/x)}2 = 62 Or, {x2 + (1/x)2 + 2 × x × (1/x)} = 36 So, {x2 + (1/x)2} = 24
When A's income is doubled and his expenditure remains unchanged, his savings increase by Rs. 40,000. If B's income is 15% higher than A's initial incom...
A bag contains 400 coins of 25p denomination and 800 coins of 50p denominations. If 14% of 25p coins and 28% of 50p coins are removed, the percentage of...
A person initially spends 50% of his salary and saves the rest. After his salary increases by 30%, he continues to save the same amount but now spends R...
The salaries of X, Y, and Z are in the ratio 4:3:5. If X’s salary is reduced by 25%, Y’s salary is increased by 33.33%, and Z’s salary is increase...
The total strength of school A is 20% more than that of school B. In school A and B, out of total number of students, 30% and 40% respectively are girls...
50% students (boys + girls) in a math class are boys. Out of total boys, 65% are literate and 70 are illiterate. Find the number of literate girls in th...
A commodity's price rises by 32%, and as a result, a person reduces their consumption by 15%. What is the overall change (percentage increase or decreas...
P spends 27% of his salary on transportation, 30% on food, 18% on children’s education and 16% on medical. He deposits the remaining amount of Rs....
Ratio of males to females in city A is 2:3 and ratio of males to females in city B is 14:25. Number of males in city B are (x+10)% more than number of m...
A man spends 22% and 14% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 27% on food and 42% on en...
