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Profit Distribution Among Five Companies

CAT 2017 Slot 1 · Quantitative Ability · Medium · Ratio and Proportions

This is a medium Quantitative Ability question from the CAT 2017 Slot 1 paper. It tests Ratio and Proportions. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Suppose, C1,C2,C3,C4,C_1, C_2, C_3, C_4, and C5C_5 are five companies. The profits made by C1,C2,C_1, C_2, and C3C_3 are in the ratio 9:10:89 : 10 : 8 while the profits made by C2,C4,C_2, C_4, and C5C_5 are in the ratio 18:19:2018 : 19 : 20. If C5C_5 has made a profit of Rs 19 crore more than C1C_1, then the total profit (in Rs) made by all five companies is:

  1. A.

    438 crore

  2. B.

    435 crore

  3. C.

    348 crore

  4. D.

    345 crore

Answer

A

Explanation

Ratio C1:C2:C3=9:10:8=81:90:72C_1 : C_2 : C_3 = 9 : 10 : 8 = 81 : 90 : 72. Ratio C2:C4:C5=18:19:20=90:95:100C_2 : C_4 : C_5 = 18 : 19 : 20 = 90 : 95 : 100. Combined ratio C1:C2:C3:C4:C5=81:90:72:95:100C_1 : C_2 : C_3 : C_4 : C_5 = 81 : 90 : 72 : 95 : 100. C5−C1=100−81=19C_5 - C_1 = 100 - 81 = 19 parts = 19 crore   ⟹  1\implies 1 part = 1 crore. Total profit = 81+90+72+95+100=43881 + 90 + 72 + 95 + 100 = 438 crore.

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