# PERCENTAGE

In this section, we will go through the percentage problems that you can expect on GMAT.

Percentage means value per 100.

For e.g. If A is 40 percent of 1000 that means for every 100 value of B there are 40 values percent of B.

Hence for 1000 value of A,

The value of B = 1000 (40 / 100)

B = 10 * 40 = 400

To find the value, divide the percentage value by 100.

In above e.g.,

B = 40% of A

= (40/100) * A

To represents X is y% of Z,

X = y% of Z

X = (y/100) * Z

X = (percent/100) * Base

Now try another question,

Question-

Find the value A, if A is 30% higher than 200.

Solution –

Make sure to notice the word higher, A is 30% higher than 200. That means A is 200 and plus 30% of 200. i.e.

A = 200 + 30% of 200

= 200 + (30 /100) * 200

= 200 + 3 * 20

= 200 + 60

A = 260

Now, let’s solve a GMAT question –

Question –

A store reported total sales of \$385 million for February of this year. If the total sales for the same month last year was \$320 million, approximately what was the percent increase in sales?
(A) 2%
(B) 17%
(C) 20%
(D) 65%
(E) 83%

Solution –

Suppose total sales in February of this year is S and total sales in February of last year is L.

S = 385

L = 320

Required value = approximate percentage increase in sales

Suppose the approximate percentage increase in sales is X then, (S-L) is X percentage of L.

S-L = X% of L

S-L= (X/100) * L

385-320 = (X/100) * 320

65 = (X) * 3.2

X = 65/3.2 20

Hence the current year’s total sales in February is approximately 20% higher than the last years sales in February. The correct answer is (C) 20%.