By selling a pen for Rs 105 there is a loss of 30%. At what price (in Rs) the pen must be sold in order to gain 30%?

The population of a town is 3,11,250. The ratio of women to men is 43: 40. If there are 24% literate among women and 10% illiterate, among men, the total number of literate persons in the town is : 

If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of A³ + B³ is 

If the difference between the roots of the equation Ax²+BX+C = 0 is 4, then which of the following is TRUE?

If one root of the equation Ax²+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

If α and β are the roots of equation x² - 2x + 4 - 0, then what is the equation whose roots are α³/β² and β³/α²?

A trader had 2000 kgs of rice. He sold a part of it at 10 % profit and the rest at 16 % profit so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10 % profit?