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

438 crore

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435 crore

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348 crore

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345 crore

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Solution

The correct option is A
438 crore

C1’s profit : C2’s profit : C3’s profit = 9 : 10 : 8 = 16.2 : 18 : 14.4
C2’s profit : C4’s profit : C5’s profit = 18 : 19 : 20
C1’s profit : C2’s profit : C3’s profit: C4’s profit : C5’s profit = 16.2 : 18 : 14.4 : 19 : 20
C5’s profit - C1’s profit = 19
20c – 16.2c = 19
3.8c = 19
c = 5
Therefore, total profit of all five companies = (16.2 + 18 + 14.4 + 19 + 20)c = 87.6c = 87.6 $\times$ 5 = 438 crore.

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