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Quote:

The great garment company X was established in 1929. In 1929, company X’s profit was what percent of its revenue?
A) In 1929, company X’s profit was 1/3 of its expenses.
B) In 1929, company X’s expenses were 3/4 of its revenue.

To Find out : Profit/Revenue=?

Type: Exact Value

Formula from real world = Profit = Revenue - Expenses

Statement 1) In 1929, company X’s profit was 1/3 of its expenses.

Profit = Expenses / 3
Expenses = 3 * Profit
We know Profit = Revenue - Expenses
Profit = Revenue - 3 * Profit
Revenue = 4 * Profit
Profit / Revenue = 1/ 4
Sufficeint.

Answers Possible A and D

B) In 1929, company X’s expenses were 3/4 of its revenue.

Expenses = (3*Revenue)/4

We know Profit = Revenue - Expenses

Profit = Revenue - (3*Revenue)/4

Profit = Revenue/ 4

Same answer as Statement 1.

Sufficeint.

Final Answer D
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OA is D
As either statement alone is sufficient.
Statement one: profit is 1/3 of expenses. Let's expenses be 3 so profit will be 1
And revenue=profit+expenses
Revenue=3+1=4
(Sufficient)
Statement 2: Expense is 3/4 of revenue.
Let revenue be 4 and expense will be 3 so profit will be 1.
Giving same solution.(sufficient)
So either of the statement was sufficient.
OA is D

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Revenue-Expense = Profit

Let Profit = P, Expense = E, Revenue = R

Statement 1: P=\(\frac{E}{3}\)
So R = E+P = E+\(\frac{E}{3} \)
R = \(\frac{4E}{3}\)

P = x% of R
\(\frac{E}{3}\) = \(\frac{x}{100}\)\(\frac{4E}{3}\)
x = 25

So Profit is 25% of Revenue
Sufficient

Statement 2: E = \(\frac{3}{4}\)R
P = R - E = R - \(\frac{3}{4}\)R
P = \(\frac{1}{4}\)R
P = 25% of R

Sufficient

Option: D
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Given: The great garment company X was established in 1929.

Asked: In 1929, company X’s profit was what percent of its revenue?

A) In 1929, company X’s profit was 1/3 of its expenses.
Revenues - Expenses = Profits = 1/3 * Expenses
Revenues = 4/3 Expenses = 4* Profits
Profits/Revenues = 1/4 = 25%
SUFFICIENT

B) In 1929, company X’s expenses were 3/4 of its revenue.
Revenues - Expenses = Profits
Revenues - 3/4 Revenues = Profits
1/4 Revenues = Profits
Profits / Revenues = 1/4 = 25%
SUFFICIENT


IMO D
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Answer:D
Statement 1-
p=r-e
given,p=e/3
p=r-3p
p/r=1/4
p/rx100=25% sufficient

Stat-2

given,e=3/4r putting in p=r-e
p/r=1/4
p/rx100=25% sufficient
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