Find the profit of C in 2014 if the profits of A and B in the same year is Rs 10 500 and Rs 13 500 ........

Quantitative Aptitude ( CCS) Data Table

Directions : Study the following table carefully and answer the questions that follow:
Three persons A, B, C invested different amounts in different years for different time period and shared profit from total profit given as per table. Some values are missing. Answer the questions on the basis of given table and information in question.

Find the profit of C in 2014, if the profits of A and B in the same year is Rs 10,500 and Rs 13,500.

Rs 25,000

Rs 20,000

Rs 18,000

Rs 15,000

Rs 22,000

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Explanation:

Let total profit in 2014 = Rs A
Ratio of profit share of A : B : C is
21*X : 24*9 : 20*(X+4)
Now 21X/[ 21*X + 24*9 + 20*(X+4)] * A = 10500………..(1)
Also 24*9/[ 21*X + 24*9 + 20*(X+4)] * A = 13500………….(2)
Divide both equations:
21X/24*9 = 105/135
Solve, X = 8
Put X = 8 in one of the equations above. A = 39,000
Also Put X = 8 in 21*X : 24*9 : 20*(X+4)
So ratio becomes 7 : 9 : 10
So profit of C = 10/26 * 39,000 = Rs 15,000