Question

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 \ ProductEleganceSmoothSoftExecutive
Q12730020009176029999
Q22522219392184458942
Q328976224291954410234
Q421012182291659510109

Which product contributes the greatest fraction to the revenue of the company in that year?

Choose one option
Official answer and solution
Official answer
B
From
Official GATE 2016 answer key

Solution

Calculate total units sold and annual revenue for each of the four products.

Calculate the total units sold across the four quarters for each razor:

  • Elegance: 27300+25222+28976+21012=10251027300 + 25222 + 28976 + 21012 = 102510 units
  • Smooth: 20009+19392+22429+18229=8005920009 + 19392 + 22429 + 18229 = 80059 units
  • Soft: 17602+18445+19544+16595=7218617602 + 18445 + 19544 + 16595 = 72186 units
  • Executive: 9999+8942+10234+10109=392849999 + 8942 + 10234 + 10109 = 39284 units

Multiply total units sold by unit selling price to find total annual revenue for each product:

  • Elegance: 102510×48=Rs. 4,920,480102510 \times 48 = \text{Rs. } 4,920,480
  • Smooth: 80059×63=Rs. 5,043,71780059 \times 63 = \text{Rs. } 5,043,717
  • Soft: 72186×78=Rs. 5,630,50872186 \times 78 = \text{Rs. } 5,630,508
  • Executive: 39284×173=Rs. 6,796,13239284 \times 173 = \text{Rs. } 6,796,132

Comparing revenues, Executive generates approximately Rs. 6.80 million, which is strictly greater than all other products.
Therefore, Executive contributes the greatest fraction to the company's total revenue.

Final answer

B

Common trap

Looking only at the unit volume sold and choosing Elegance (102,510 units), ignoring the much higher unit price of Executive (Rs. 173).

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2016 Computer Science and Information Technology (CS) Session 1
Question
6 of 65, printed as GA Q.6
Section
General Aptitude

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