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(sin23°/cos67°) + (cos71°/sin19°) => sin (90° - x) = cos x => cos (90° - x) = sin x So, => sin( 90° - 67°)/cos67° + cos( 90° - 19°)/sin19° => cos67°/cos67° + sin19°/sin19° => 1 + 1 = 2
Two numbers are less than a third number by 25% and 31% respectively. Find the percent by which the second number is less than the first.
The marks scored by a boy in three subjects are in the ratio 4 : 5 : 3. Boy scored an overall aggregate of 80% in the exam. If the maximum marks in each...
The population of a city is decreased by 20% in the first year and then increased by 30% in the second year. Find the population of the city at the end...
The income of ‘A’ increases by 30% every year. If his income 3 years hence from now will be Rs. 34273.2, then find his income a year before from now...
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...
Rajesh spent 46% of his monthly income on food and 54% of the remaining of study. If total monthly savings (after spending on food and study) of Rajesh ...
A man donated 20%, 15% and 24% of his income to three NGOs ‘A’, ‘B’ and ‘C’, respectively. They spent 75%, 80% and 50% of respective sums re...
Rajesh spent 47% of his monthly income on food and 53% of the remaining of study. If total monthly savings (after spending on food and study) of Rajesh ...
Amit scored 80 marks in subject X. He scored 60% marks in subject B and Y marks in subject D. Maximum marks in each subject was 300. The overall percent...
