The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to m% of stall’s revenue and accounted for n% of sales of juice tetra packs. Which of the following expresses m in terms of n? Options
A) 100n/(150 – n)
B) 200n/(250-n)
C) 200n/(300-n)
D) 250n/(400-n)
E) 300n/(500-n)
Let the number of units sold be 100. Then n units of A are sold and (100-n) units of B are sold.   Total revenue= Revenue due to A + Revenue due to B   = (No.of units of A sold * Cost/unit of A) + (No.of units of B sold * cost/unit of B)   = n *1 + (100-n) *1.5   = n + (150-1.5n) --- (1)   2. But we know, revenue due to A = m%. of the total revenue --- (2)   3. To express m in terms of n we need to relate (1) and (2)   4. m% = n / ( n + (150-1.5n))   or m= 100n / 150-0.5n = 200n/(300-n)   ANSWER:200n/(300-n)
<result>C</result>
The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to m% of stall’s revenue and accounted for n% of sales of juice tetra packs. Which of the following expresses m in terms of n?