Multiple choice

Directions: Solve the following question and mark the best possible option. 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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A Correct answer
Explanation

Ratios: C1:C2:C3 = 9:10:8. C2:C4:C5 = 18:19:20. Normalize C2 to 90: C1:C2:C3 = 81:90:72. C2:C4:C5 = 90:95:100. C5 - C1 = 100k - 81k = 19k = 19 crore. k = 1. Total = 81+90+72+95+100 = 438.

AI explanation

The profit ratios are combined by making the common company, C2, equal in both ratios, so multiplying the first ratio 9 : 10 : 8 by 9 and the second ratio 18 : 19 : 20 by 5 yields C1 : C2 : C3 : C4 : C5 as 81 : 90 : 72 : 95 : 100. The difference between C5 and C1 is 100 minus 81, which is 19 units. Since C5 makes Rs. 19 crore more than C1, one unit equals Rs. 1 crore. The total profit for all five companies is the sum of the ratio parts (81 + 90 + 72 + 95 + 100 = 438), giving Rs. 438 crore.

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