For the following questions answer them individually
Rajan spent 10% of his salary on rent. He spent 20%ofthe remaining part of the salary on transport. After which he spent 40°ofthe balance ofthe salary on food. Further, he spent 80% of the balance on variousbills. He deposits ₹5000 in the bank andkept the remaining ₹1480 for his own petty expenditure. Find his monthly salary (in ₹).
If $$(x + y)^3 + 27(x - y)^3 = (Ax - 2y)(Bx^2 + Cxy + 13y^2)$$, then the value of $$A - B - C$$ is:
$$5\frac{1}{5} \div \left[3\frac{1}{2} - \left\{\frac{5}{6} - \left(\frac{3}{5} + \frac{1}{10} - \frac{4}{15}\right)\right\}\right]$$ is equal to:
In the table, production and sale (in 1000 tonnes) of a certain product of a company over5 years is given. Study the table and answerthe question:
In which year(s) the sale increases by more than 25% of the previous year?
A borrowed a sum of ₹160000 from B at 10% per annum simple interest. At the same time helent the same sum to C at the same rate on compound interest, compounded semi-annually for 2 years. Find the amount (in ₹) earned by A in the whole transaction.
A train running at 72 km/h crosses a pole in 12 seconds. How much time(in seconds)will it take to cross a bridge 360 m long?
The marked price of an article is ₹2720. If a shopkeeper sold the article at 15% loss after giving 25% discount, then the cost price (in ₹) of the article is:
If $$\cos \theta - \sin \theta = \sqrt{3} \cos(90^\circ - \theta), 0^\circ < \theta < 90^\circ$$ then find the value of $$\tan \theta - cot \theta$$.
If $$x^8 - 433 x^4 + 16 = 0, x > 0$$, then what is the value of $$\left(x + \frac{2}{x}\right)?$$