If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

6 kg sugar costing Rs. 10/kg is mixed with 4 kg sugar costing Rs. 15/kg. What is the average cost of the mixture per kilogram?

If secθ + tanθ = 3, then the value of secθ is:

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is

Simplify  $$ ^{3}\sqrt{-2197} × ^{3}\sqrt{{-125}} \ ÷ ^{3}\sqrt{27\over512}$$.

A can do a piece of work in 6 days, B in 10 days and C in 15 days. They jointly complete the work and earn Rs.300. The sum of their wages for 2 days is                                              

117.5, 117, 119, 111, 143, ?

X and Y enter into a partnership with capital in the ratio 3: 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in lakhs) of X in the annual profit of 6.84 lakhs?