If (27x³ – 343y³) ÷ (3x – 7y) = Ax² +By² + 7Cyx, then the value of (4A – B +5C) is:

A man spends  $${1\over 3}$$ of his income on food,   $${2\over 5}$$  of his income house rent and   $${1\over 5}$$ of his income on clothes. If he still has Rs. 400 left with him, his income is: 

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

Deepak starts the month of February with provisions expected to last for the entire month. After few days, he find that the provisions will be short by 10 days and it is calculated that if the provisions left is immediately tripled, it will complete the shortfall. If the provisions left is doubled instead of being tripled, and simultaneously the diet of the Deepak is decreased by 20%, then the provisions will fall short by-

The total average salary of 50 employees in a company is Rs 5,000. If there are 35 male employees among these employees whose average salary is Rs 6,000, then what will be the average salary of the remaining female employees?

A and B invested 1/2 and 1/3 of the total capital respectively, the remaining part C invested. If there is a profit of Rs. 9696 at the end of the year, then what is the profit of B?

The ratio of two number is 3 :5 . If 6 added to both the number then ratio become 2 :3 then find out the number?

If the volumes of two cubes are in the ratio 27 : 64 and then the ratio of their total surface area is