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

A) 438 crore

B) 435 crore

C) 348 crore

D) 345 crore

Option (A)

As per CAT 2017 – Quantitative Aptitude – Arithmetic – Ratios, we can see that

Profit of C1 = 9x

Profit of C2 = 10x = 18y — (1)

Profit of C3 = 8x

Profit of C4 = 19y

Profit of C1 = 20y

Taking eq(1), we get x = 9y/5

20y = 19 + 9x

Putting value of x and y in the above eq we get, x=9 and y=5

So, Total profit = 9x +10x + 8x + 19y + 20y = 438 crore

Option (A)

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