Question 1127900

At a particular store, the ratio of profit to cost price is 1 1/6: 1 1/5. If the profit of a particular item is $310m what is the selling price of that item?
<pre>Let multiplicative factor be x
Then profit is: {{{matrix(1,3, (7/6) * x, or, 7x/6)}}}, and cost is: {{{matrix(1,3, (6/5) * x, or, 6x/5)}}}
{{{matrix(1,11, 7x/6, "=", 310, "______", 7x, "=", 310(6), "______", x, "=", 310(6)/7)}}}

Substituting {{{310(6)/7}}} for x, we get COST as: {{{matrix(1,13, 6x/5, "=", 6 * (310(6)/7)/5,
"======>", 6 * (310(6)/7), "÷", 5, "=======>", 6 * (310(6)/7) * (1/5), "=", 6(62)(6)/7, "=", "$318.86")}}}
With cost being $318.86, and profit, $310, selling price is: {{{highlight_green(matrix(1,5, "$318.86", "+", "$310", "=", "$628.86"))}}}
IGNORE all non-similar answers.