CAT 2017 Slot 1 QA Question & Solution
ArithmeticEasy
Question
Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by Cl, 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
Options
438 crore
435 crore
348 crore
345 crore
Solution
Given,
C1 : C2 : C3 = 9 : 10 : 8 ... i
C2 : C4 : C5 = 18 : 19 : 20 ... ii
Let's multiply i by 9 and ii by 5
C1 : C2 : C3 = 81 : 90 : 72
C2 : C4 : C5 = 90 : 95 : 100
Therefore, C1 : C2 : C3 : C4 : C5 = 81 : 90 : 72 : 95 : 100
Given,
100x - 81x = 19
x = 1
Hence, total profit = 100 + 95 + 72 + 90 + 81 = 438