Question
A and B invest in a business in the ratio 4 : 5. After
10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?Solution
let the investments made by A and B be 4x and 5x ratio of their profits is 4x*12+5x*10=48x:50x =24:25 B's share (25/49)*49000 =Rs 25000
The value of sec2 45˚ + 2 tan 135˚ is –
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sin 60° × cos 30° − sin 30° × cos 60°
Evaluate the following:
sin 25° × cos 65° + sin 65° × cos 25°
If sec²x + csc²x = 10, find the value of tan²x + cot²x.
Solve for 0° ≤ θ ≤ 360°:
2 sin²θ + 3 sinθ − 2 = 0
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If 2 sec 3x = 4, then the value of x: