FDPs

[adthedaddy]

Following is one illustration from MGMAT Book-2.
I am not able to understand it, plz help.

Q: A dress is marked up 16(2/3)% to a final price of $140. What is the original price ofthe dress?

Soln:
We know that 16(2/3)% = 1/6.
"Thus adding 1/6 number to itself is the same as multiplying by 1+(1/6)=7/6"

I am not able to understand why the above step was performed.

Final Answer is $120.

[theCEO]

Following is one illustration from MGMAT Book-2.
I am not able to understand it, plz help.

Q: A dress is marked up 16(2/3)% to a final price of $140. What is the original price ofthe dress?

Soln:
We know that 16(2/3)% = 1/6.
"Thus adding 1/6 number to itself is the same as multiplying by 1+(1/6)=7/6"

I am not able to understand why the above step was performed.

Final Answer is $120.

Original price of dress = 100% x
Mark up percentage = 16.23% (100% x) = 16.23% x
New Price = 100% x + 16.23% x = 116.23% x = $140
x = $140 / 116.23% = 120

Orginal price = x = 100%x = (6/6) x
If if it mark up by 1/6, it means the value increases by 1/6 ->
x + (1/6)x = 6x/6 + x/6 = 7x/6 = 140
x = 120

[GMATGuruNY]

Following is one illustration from MGMAT Book-2.
I am not able to understand it, plz help.

Q: A dress is marked up 16(2/3)% to a final price of $140. What is the original price ofthe dress?

Soln:
We know that 16(2/3)% = 1/6.
"Thus adding 1/6 number to itself is the same as multiplying by 1+(1/6)=7/6"

I am not able to understand why the above step was performed.

Final Answer is $120.

The mark-up = 16 2/3 % = (50/3)/100 = 1/6.
The final price is 1/6 greater than the original price.
To increase a value by 1/6 is to ADD 1/6 of the original value:
x + (1/6)x = (7/6)x.
In other words, the final price is 7/6 of the original price.
Since the final price is 7/6 of the original price, the original price is 6/7 of the final price:
Original = (6/7)140 = 120.

[Scott@TargetTestPrep]

Following is one illustration from MGMAT Book-2.
I am not able to understand it, plz help.

Q: A dress is marked up 16(2/3)% to a final price of $140. What is the original price ofthe dress?

Soln:
We know that 16(2/3)% = 1/6.
"Thus adding 1/6 number to itself is the same as multiplying by 1+(1/6)=7/6"

I am not able to understand why the above step was performed.

Final Answer is $120.

Solution:

Let the original price of the dress be p. We can create the equation:

p * (1 + (16 ⅔)/100) = 140

p * (1 + 1/6) = 140

p * 7/6 = 140

p = 140 * 6/7 = $120

Answer: $120