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Aug 27, 2015

MATHS SHORTCUTS AND MIND TRICKS TO SOLVE PARTNERSHIP RELATED PROBLEMS

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Maths Shortcuts and Mind Tricks To Solve Partnership Related Problems
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Partnership Shortcuts
Q.) Let A and B started a business with initial investments in the ratio 7:18 and let their annual profits were in the ratio 7:9. If A invested the money for 10 months then find for how many months did B invested his money?

Shortcut method:

We have Given:
Ratio of Amount Invested by A and B= 7:18
Profit Ratio of A and B= 7:9
A invested the money for 10 months
Let x be the no. of months invested by B.

To solve the above question we will use the following Formula:



Now Substitute the given values in the above formula,we get








After Simplify the above equation, we get x = 5.

Therefore, B has invested the amount for 5 months.

Q) If A and B started a business with initial investments in the ratio 8 : 4 and their annual profits were in the ratio 6:4 & Let B invested the money for 8 months then find for how many months did A invested his money?

Solution:

Ratio of Amount Invested by A and B = 8:4
Profit Ratio of A and B = 6:4
B invested the money for 8 months
Let x be the no. of months invested by A.

To solve the above question we will use the following Formula:



By Substituting the given values in the above formula, we get

(8 × 𝑥)/ (4 × 8) = 6/4

After Simplify the above equation, we get x = 6.

Therefore, A has invested the amount for 6 months.


Thank You !! J

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