A trader made a loss of 15% when an article was sold. Find the ratio of the selling price  : cost price

Given that log\(_3\) 27 = 2x + 1, find the value of x.

Solve 6x\(^2\) = 5x - 1

(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x.

(b) Two positive numbers are in the ratio 3:4. The sum of thrice the first number and twice the second is 68. Find the smaller number.

Given that y =(\(\frac{pr}{m} - p^2r\))\(^{\frac{-3}{2}}\) 

(a) make r the subject;

(b) find the value of r when y = -8, m = 1 and p = 3.