Previous Year Questions

Let after 'm' months B invested Rs.600 more and after next 'n' months, A withdrew Rs.700 and C withdrew Rs.600. Then,

Product of investment and period of investment for A

= 2700 * (m + n) + (2700 - 700) * (24 - m - n)

= 48000 + 700m + 700n

Product of investment and period of investment for B

= 1800 * m + (1800 + 600) * (24 - m)

= 57600 - 600m

Product of investment and period of investment for C

= 3600 * (m + n) + (3600 - 600) * (24 - m - n)

= 72000 + 600m + 600n

Then, profit ratio,

A: B: C = (48000 + 700m + 700n): (57600 - 600m): (72000 + 600m + 600n)

Also, profit ratio, A: B: C = 289: 264: 402

Then, (48000 + 700m + 700n): (57600 - 600m) = 289: 264

n = (6624 - 597m)/308..(i)

And, (57600 - 600m): (72000 + 600m + 600n)= 264: 402

n = (1152 - 111m)/44...(ii)

From (i) and (ii), we get

(6624 - 597m)/308 = (1152 - 111m)/44

m = 8

And, n = (1152 - 111 * 8)/44

n = 6

Hence, option (c) is the correct answer.