What is the equation of line, which makes intercepts –5 and 2 on the x and y-axis respectively

The cost of manufacture of a tape recorder is 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is

The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

Ramesh bought 10 cycles for 500 each. He spent 2,000 on the repair of all cycles. He sold five of them for 750 each and the remaining for 550 each. Then the total gain or loss % is

4¹¹ + 4¹² + 4¹³ + 4¹⁴ is divisible by

5 years ago, the average age of P and Q was 15 years. Average age of P, Q and R today is 20 years. How old will R be after 10 years ?

If $\tan \theta=2$, then the value of $\frac{8 \sin \theta+5 \cos \theta}{\sin ^{3} \theta+2 \cos ^{3} \theta+3 \cos \theta}$ is

In a triangle $\mathrm{ABC}, \angle \mathrm{ABC}=75^{\circ}$ and $\angle \mathrm{ACB}=\frac{\pi^{\mathrm{c}}}{4}$. The circular measure of $\angle \mathrm{BAC}$ is

If $x+\frac{1}{x}=3$, then the value of $\left(x^{5}+\frac{1}{x^{5}}\right)$ is

3 men and 5 women can do a work in 14 days while 5 men can do it in 14 days. 5 men and 5 women can complete the work in 3