A and B entered into a partnership with an investment of Rs.15000 and Rs.X respectively. After 5 months, B withdrew Rs.8000

A and B entered into a partnership with an investment of Rs.15000 and Rs.X respectively. After 5 months, B withdrew Rs.8000 from his investment and the ratio of A’s profit to B’s profit at the end of the year is 9: 8. Find the value of ‘X’.

a) 24000

b) 16000

c) 20000

d) 14000

e) 18000

Sol:

From the question:

(15000 * 12)/[X * 5 + (X – 8000) * 7] = 9/8

180000/(5x + 7x – 56000) = 9/8

160000 = 12x – 56000

X = 18000