Question
P and Q started a business by investing Rs.5000 and
Rs.3000 respectively. After 4 months, Q increased his investment by a certain percentage such that at the end of 1 year, the profit shares of P and Q were equal. By how much percentage did Q increased his investment?Solution
Let the increased investment amount of Q = Rs.x Ratio of profit shares of P and Q = (5000 x 12) : (3000 x 4 + 8y) = 1:1 So, 60000 = 12000 + 8x => x = 6000 Increase in investment of Q = 6000 - 3000 = Rs.3000 Required % = (3000/3000) x 100 = 100%
Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.
The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to
- Find the value of sin²18° + sin²72° + cos²63° + cos²27°.
- Find the maximum value of (15sin A + 12cos A).
∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
If cosec2A = (sin60o + tan45o X sec245o), then find the value of sin2A.
If √3 tan x = 3, then the value of x:
If sin5A = cos(2A+20°), then what is the value of A? Given that 5A is an acute angle.
