CAT 2017 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Ratio and Proportions Questions | Question 8

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Question 8 : Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is:

  1. 438 crore
  2. 435 crore
  3. 348 crore
  4. 345 crore

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Explanatory Answer

Method of solving this CAT Question from Ratio and Proportions
CAT 2017 Question Paper Quants Slot 1 Ratio and Proportions

The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2 , C4 and C5 are in the ratio 18 : 19 : 20.
Now we can simplify this and take all of them into same variable so we need to take LCM for 10 and 18 which happens to be 90.
By taking 90 as LCM we get, CAT 2017 Question Paper Quants Slot 1 Ratio and Proportions
C1 = 81
C2 = 90
C3 = 72
C4 = 95
C5 = 100
We have to find the total profit (in Rs) made by all five companies
C5 is 19 crores more than C1 which works out as such. i.e C1 = 81 , C5 = 100.
So to get the total profit we can add them altogether = 81 + 90 + 72 + 95 + 100 = 438
Hence Rs.438 crore is the total profit made by all five companies.

The question is "Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs) made by all five companies is:"

Hence, the answer is 438 crore

Choice A is the correct answer.

 

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