Let the number of individual policies = \(x\), the number of familiy policies = \(y\) and the cost of a family policy = \(a\)
\(250x + ay = 257500\)
We are solving for \(a\).
(1) The revenue from individual policies was 10% of the total revenue.From this we can work out that the individual policies had a revenue of \(25750\), and therefore there are \(\frac{25750}{250}= 103\) individual policies. However, in terms of the family policies, the only thing this statement provides is the revenue \(257500-25750=231750\). Without knowing how many family policy holders there were, one cannot solve for the price of a single family policy.
INSUFFICIENT(2) The company sold three times as many family policies as they did individual policies.This tells us that the ratio of individual policies to family policies is: \(1:3\). From this we can find the revenue of each policy offered, however, without knowing the number of people who took out the family policy it is impossible to solve for the price of the family policy.
INSUFFICIENT(1+2)Putting the statements together, we know that there are \(103*3 = 309\) family policy holders, and that their revenue was \(231750\). Therefore, the number of family policies is \(\frac{231750}{309} = 750\)
SUFFICIENT
ANSWER C