A, b and c enter a partnership by investing in the ratio of 4:3:5 after six month. b invest another rs. 264000 and c invest rs. 540000 at the end of two year also investments at the end of the three years profit are shared in the ratio 3:5:6. What is the initaial investment. Of A ?
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Step-by-step explanation:
Assuming total investment to be Rs.15 X
Shares of A, B &C
A= 3 X
B=5X
C= 7X
Total Investment after withdrawal and Addition
Ratio of Investment after withdrawal and addition= A= 24/250,B= 59/250, C =167/250
Shares in Revised Investment A= 24/250(15X+292000)
B = 59/250(15X+292000)
C= 167/250(15X+292000)
We can find value of X from any of three equations i.e.
3X -45600 = 24/250(15X+292000)
5X = 59/250(15X+292000)
7X +292000 = 167/250(15X+292000)
Taking simpler Equation find value of X
5X = 59/250(15X+292000) (Common denominator 250)
1250x = 59*15X + 59*292000
1250x-885X= 17228000
365X=17228000
X= 47200
Initial Share of A = 3X = 47200x3= 141600
Similarly we can calculate Shares of B & C
B= 5X= 47200*5= 236000
C= 7X = 47200*7= 330400
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