Discussion :: Partnership
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Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
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Answer : Option B
Explanation :
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now,\(\frac { 1 4X} { 8Y } \)=\( \frac { 5 } { 7 } \)
98x = 40y y =\( \frac {49 } {20 } \)x
And,\(\frac { 1 4X} {7Z } \)=\( \frac { 5 } { 8 } \) 112x = 35z z =\( \frac {112 } {35 } \)x=\( \frac { 16 } { 5 } \)x
x : y : z = x :\( \frac {49 } {20 } \)x:\( \frac { 16 } { 5 } \)x=20 : 49 : 64.
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