Question
The ratio of cost price and selling price of a shirt is
6:7 respectively. The shirt was marked up by 25% above its cost price, and sold after giving Rs.50 discount. Find the cost price of the shirt.Solution
Let the Cost price and Selling price of the shirt be Rs. 6x and 7x respectively. According to the question, => 1.25 × 6x – 50 = 7x => x = 50/0.5 = 100 Therefore the cost price of the shirt = 6x = Rs.600
The minimum value of 45 sin2 θ + 28 cos2 θ is

Evaluate the following:
sin 60° × cos 30° + sin 30° × cos 60°
If 4sin² θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sinθ - secθ)?
- If 2cos²A + 3sin²A = 13/5, then find the value of (sec²A - 1)
- If sin (a + b) = (√3/2) and cos (a – b) = (√3/2), then find sin a.

sin2 17˚ + sin2 19˚ + sin2 21˚ + sin2 23˚ + ……… + sin2 77˚ = ?
If tan² 45°- cos² 60° x sin 45° cos 45° cot 30°, then find the value of 'x'.
If SecA + TanA = 2√2 + 9, then find the value of Sin A + Cos A.