CAT 2017 Ratio, Proportion and Variation Question (Medium)

Question

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

Accepted Answer

Step 1 Let profits be C1 9x, C2 10x, C3 8x Also C2 18y, C4 19y, C5 20y Equating C2 from both 10x 18y x 1.8y Now express all in terms of y C1 9x 9 1.8y 16.2y C3 8x 8 1.8y 14.4y C5 20y Given C5 - C1 19 crore 20y - 16.2y 3.8y 19 y 5 Step 2 Now compute total profit C1 16.2y 81 C2 18y 90 C3 14.4y 72 C4 1

CAT 2017

Quantitative

Ratio, Proportion and Variation

Medium

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:

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