DELL Compouter has two branches : One in Ohilo and second in Texas : The total no. of Ohio office grew this year by 25% to 750 but the ratio of male to female employees is same as in the previous year. The no. of employees in the Texas office grew this year by 9.09% to 1200. The ratio of male to female employees last year in the Texas was 5:6 and the no. of male employees in the Ohio office was 20% less than that of Texas office.
The total no. of employees in both the offices last year was :

Options

A. 1500
B. 1700
C. 1650
D. can't be determined

Answer

To solve the problem, we need to find the total number of employees in both the Ohio and Texas offices last year. We will break this down step by step.

### Step 1: Calculate the number of employees in the Ohio office last year.
The number of employees in the Ohio office grew by 25% to 750 this year.

Let the number of employees in the Ohio office last year be \( x \).

Since the number of employees increased by 25%, we can express this as:
\[ x + 0.25x = 750 \]
This simplifies to:
\[ 1.25x = 750 \]
Now, we can solve for \( x \):
\[ x = \frac{750}{1.25} = 600 \]

### Step 2: Calculate the number of employees in the Texas office last year.
The number of employees in the Texas office grew by 9.09% to 1200 this year.

Let the number of employees in the Texas office last year be \( y \).

Since the number of employees increased by 9.09%, we can express this as:
\[ y + 0.0909y = 1200 \]
This simplifies to:
\[ 1.0909y = 1200 \]
Now, we can solve for \( y \):
\[ y = \frac{1200}{1.0909} \approx 1100 \]

### Step 3: Calculate the total number of employees in both offices last year.
Now that we have the number of employees last year for both offices, we can find the total:
\[ \text{Total employees last year} = x + y = 600 + 1100 = 1700 \]

### Final Answer:
The total number of employees in both the offices last year was **1700**.

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