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Hi experts,

I wanted to know the difference between formulating these sentences into equations.

1. If in the first minute, the amount of water in the Bucket increased by the proportion
1/n

2. The value of Andy' investment increased by x% in the first year

3. The value of Andy' investment increased by the factor x in the first year

4. The value of Andy' investment increased by the ratio 3/2 in the first year

5. The value of Andy' investment increased by the constant x in the first year

[GMATinsight]

Hi experts,

I wanted to know the difference between formulating these sentences into equations.

1. If in the first minute, the amount of water in the Bucket increased by the proportion
1/n

2. The value of Andy' investment increased by x% in the first year

3. The value of Andy' investment increased by the factor x in the first year

4. The value of Andy' investment increased by the ratio 3/2 in the first year

5. The value of Andy' investment increased by the constant x in the first year

1. If in the first minute, the amount of water in the Bucket increased by the proportion
1/n

i.e. at the end of first minute the amount of water becomes = x+(1/n)*x if teh initial amount of water was x


2. The value of Andy' investment increased by x% in the first year

i.e.The investment (I) at the end of first year becomes = I +(x/100)*I = I(1 +x/100)


3. The value of Andy' investment increased by the factor x in the first year
i.e. The investment (I) at the end of first year becomes = I +(x)*I


4. The value of Andy' investment increased by the ratio 3/2 in the first year
i.e. The investment (I) at the end of first year becomes = I +(3/2)*I


5. The value of Andy' investment increased by the constant x in the first year
i.e. The investment (I) at the end of first year becomes = I +(x)

I hope this helps!!!

[Jay@ManhattanReview]

1. If in the first minute, the amount of water in the Bucket increased by the proportion 1/n

Say the amount of water initially was P gallons, then in the first minute, the amount of water increased by P*(1/n) = P/n. Thus, the amount of water now = P + P/n = P(1 + 1/n)

2. The value of Andy' investment increased by x% in the first year

Say Andy' investment was $P, then Andy' investment increased by P*x% or by Px/100. Or, we can say that Andy' investment at the end of the first year = P + Px/100.

3. The value of Andy' investment increased by the factor x in the first year

Say Andy' investment was $P, then Andy' investment increased by P*x or by Px. Or, we can say that Andy' investment at the end of the first year = P + Px = P(1 + x).

4. The value of Andy' investment increased by the ratio 3/2 in the first year

Say Andy' investment was $P, then Andy' investment increased by P*3/2 or by 3P/2. Or, we can say that Andy' investment at the end of the first year = P + 3P/2 = 5P/2.

5. The value of Andy' investment increased by the constant x in the first year

Say Andy' investment was $P, then Andy' investment increased by $x. Or, we can say that Andy' investment at the end of the first year = P + x.

Hope this helps!

-Jay
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