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CAT 1998 — DILR Question 40

Bar GraphsEasy
Passage / Data

Direction: Answer the questions based on the following information.

In the following chart, the price of logs shown is per cubic metre that of plywood and saw timber is per tonne.

If the volume sales of plywood, saw timber and logs were 40%, 30% and 30% respectively, then what was the average realisation in 1993 per cubic metre of sales? (Weight of one cubic metre of saw dust and plywood both = 800 kg)

Answer & solution

  • A

    18

  • B

    15

  • C

    16

  • 13

Solution

Note that one tonne = 43m3 = 1.33 m3,  for both plywood and saw timber.
In 1993, price of logs = Rs. 20 per cubic metre.

Price of plywood = (71.33) = Rs. 5.26 per cubic metre.

And price of saw timber = (191.33) = 14.28 per cubic metre.
Now the sales volume of plywood, saw timber and logs are in the ratio 4 : 3 : 3. So the average realisation per cubic metre of sales is indeed the weighted average.
This is given as [(4×5.26)+(3×14.28)+(3×20)](4+3+3) = Rs. 12.4

= Rs. 13 (Approximately)

CAT 1998 DILR Q40: If the volume sales of plywood, saw timber and logs were 40%, 30% and 30% respectively, then what was the aver — Solution | TheCATExam