Question
‘A’ and ‘B’ started a business by investing
certain sum in the ratio 6:7, respectively for 6 years. If 22% of the total profit is donated in an orphanage and A’s share is Rs. 1764, then find the total profit generated from the business.Solution
Since, ‘A’ and ‘B’ invested their sums for equal period, therefore, ratio of the profit received by ‘A’ and ‘B’ will be equal to the ratio of sum invested by them i.e. 6:7, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.78 × 100x = Rs. 78x Profit received by ‘A’ = 78x × (6/13) = Rs. 36x According to the question, 36x = 1764 Or, x = 49 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 4900
- Find the value of sin²12° + sin²78° + cos²24° + cos²66°.
If 1 + sin 2θ = p2 and sin3 θ + cos3 θ = q then Which of the following is true ?Â
1. q3 – 2p + ...
- Simplify the following trigonometric expression:
13cos 63 o cosec 27 o  - 5cot 56 o cot 34 o Simplify: sin 780° sin 480° + cos 120° sin 30°
If α means +, β means -, ɣ means x, θ means ÷ then 30 θ 10ɣ 5α 10β20 is
If 'θ' is an angle less than 120°, what is the value of 'θ' if it satisfies the equation 3cos2θ = 2 + sin2θ.
...Find the exact value of cos120°
If cosec2A = (sin60o + tan45o X sec245o), then find the value of sin2A.
If SecA + TanA = 2√2 + 9, then find the value of Sin A + Cos A.
