Question
X started a business with an initial investment of
______. After 3 months, Y and Z joined with investments of Rs. 35,000 and Rs. 40,000, respectively. Z exited the business, and X and Y increased their investments by 20% and _____, respectively, 5 months before the business ended. At the end of one year, the profit ratio among X, Y, and Z was 156:147:64.Solution
According to question, Let a and r% be the initial investment of X and investment increases by Y. (a*7) + (120X/100*5) : (35000*4) + (35000*(100+r)/100*5) : (40000*4) 13a : 315000 + 1750r : 160000 13a/ 160000 = 156/64 a = 160000*156/(64*13) a = 30,000 Initial investment of X = Rs.30000 (315000+1750r)/160000 = 147/64 315000+1750r = 367500 1750r = 52500 r=30% Hence the option is A.
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