In 2012 the difference between the profit shares of B and C is Rs 650 and profit share of A is Rs 52...........

Quantitative Aptitude ( CCS) Compound Interest

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.

In 2012, the difference between the profit shares of B and C is Rs 650 and profit share of A is Rs 5200. If investment of A is Rs7000 less than 3000 times the investment time (in months) of C, find the total investment of all three.

Rs 51000

Rs 46000

Rs 48000

Rs 52000

Rs 45000

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Explanation:

Ratio of profit share of A : B : C is
P*8 : (P+2000)*Q : (P+4000)*Q
So [(P+4000)*Q – (P+2000)*Q]/[ P*8 : (P+2000)*Q : (P+4000)*Q ] * 16250 = 650 …………………..(1)
Also given [8P]/[ P*8 : (P+2000)*Q : (P+4000)*Q ] * 16250 = 5200………………………(2)
Divide both equations (1) and (2)
P = 2000Q ………………………………(3)
Also given, P = 3000*Q – 7000 ……………………….(4)
From (3) and (4) now
Q = 7, P = 14000
So total investment = 14000 + 16000 + 18000 = Rs 48000