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I. 99 x² + 31 x – 110 = 0 I. 99 x² + 121 x - 90 x – 110 = 0 11 x(9 x + 11) – 10(9 x + 11) = 0 (11 x – 10) (9 x + 11) = 0 ∴x = 10/11 ,- 11/9 II. 6y² - 31y + 35 = 0 6y² - 10y - 21y + 35 = 0 2 y(3 y – 5) - 7 (3 y – 5) = 0 (2 y – 7) (3 y – 5) = 0 ∴y = 7/2 ,5/3 Hence, x<y
Ravi allocated 60% of his income to expenses in May. In June, his savings increased by 20%, amounting to Rs. 5760. Calculate Ravi's total income for the...
A man spent 50% of his income in May. If his savings is increased by 30% in June and becomes Rs. 9100, then find the income of man in May.
A man spends 21% and 12% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 26% on food and 41% on en...
In an election with only two candidates, 15% of the eligible voters did not cast their votes. Out of the total votes cast, 105 votes were declared inval...
The value of A’s car is depreciating by 25% every year whereas the value of his house is appreciating by 15% each year as compared to the previous yea...
The population of the town is 10,000. If the male population increases by 5% and the female population by 10%, the population will become 10,700. How mu...
A man spends 40% of his monthly salary on rent, 20% on food, and 10% on transportation. If he saves ₹18,000, which is half of the remaining amount, fi...
A quantity is first increased by 60% and then decreased by 25%. Calculate the overall percentage increase or decrease.
In a school, 30% of the students are not participating in any competition. 80% of the students who are participating in the competition are girls. If 42...
In a test, P got 28% of total marks and failed by 40 marks while Q got 36% of total marks which is 20 more than passing marks. Find the total marks of t...
