Discussion
A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.
| Quarter \ Product | Elegance | Smooth | Soft | Executive |
|---|---|---|---|---|
| Q1 | 27300 | 20009 | 17602 | 9999 |
| Q2 | 25222 | 19392 | 18445 | 8942 |
| Q3 | 28976 | 22429 | 19544 | 10234 |
| Q4 | 21012 | 18229 | 16595 | 10109 |
Which product contributes the greatest fraction to the revenue of the company in that year?
Answer: B
The largest revenue share comes from Executive.
Add the four quarters for each razor and multiply by its price:
\[ \begin{aligned} \text{Elegance} &= 102510 \times 48 = 4920480 \\ \text{Smooth} &= 80059 \times 63 = 5043717 \\ \text{Soft} &= 72186 \times 78 = 5630508 \\ \text{Executive} &= 39284 \times 173 = 6796132 \end{aligned} \]
Executive sells the fewest pieces but its price is more than twice that of any other razor, so it earns the most. Elegance sells the most pieces, which is the trap, but at the lowest price it earns the least.
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