Case Study (Table Formate): Study the information carefully to answer the question that follow.
A. Company produced five different products viz. mobile phone, pen drive, calculators, televisions and washing machines. Total number of all the five products is 1650.24% of the total number of products is mobile phones. One sixth of the total number of products is Pendrives. 14% of the total number of product is calculators. Remaining products are either television or washing machine, number of washing machine is 50 more than the number of televisions produced.
What is the total number of pen drives, calculator and washing machines produced by the company?

Options

A. 907
B. 917
C. 925
D. 905

Answer

To solve the problem step by step, we will break down the information provided and calculate the required values.

### Step 1: Calculate the number of mobile phones produced.
- Total number of products = 1650
- Percentage of mobile phones = 24%

Using the formula:
\[ \text{Number of mobile phones} = \frac{24}{100} \times 1650 \]
Calculating:
\[ \text{Number of mobile phones} = 0.24 \times 1650 = 396 \]

### Step 2: Calculate the number of pen drives produced.
- One sixth of the total number of products is pen drives.

Using the formula:
\[ \text{Number of pen drives} = \frac{1}{6} \times 1650 \]
Calculating:
\[ \text{Number of pen drives} = 275 \]

### Step 3: Calculate the number of calculators produced.
- Percentage of calculators = 14%

Using the formula:
\[ \text{Number of calculators} = \frac{14}{100} \times 1650 \]
Calculating:
\[ \text{Number of calculators} = 0.14 \times 1650 = 231 \]

### Step 4: Calculate the total number of products accounted for so far.
Now we sum the quantities of mobile phones, pen drives, and calculators:
\[ \text{Total accounted} = \text{Mobile phones} + \text{Pen drives} + \text{Calculators} \]
Calculating:
\[ \text{Total accounted} = 396 + 275 + 231 = 902 \]

### Step 5: Calculate the number of remaining products (televisions and washing machines).
- Total products = 1650
- Products accounted for = 902

Using the formula:
\[ \text{Remaining products} = 1650 - 902 = 748 \]

### Step 6: Set up equations for televisions and washing machines.
Let the number of televisions be \( x \).
Then, the number of washing machines will be \( x + 50 \).

Using the equation:
\[ x + (x + 50) = 748 \]
Simplifying:
\[ 2x + 50 = 748 \]
\[ 2x = 698 \]
\[ x = 349 \]

### Step 7: Calculate the number of washing machines.
Using the value of \( x \):
\[ \text{Number of washing machines} = x + 50 = 349 + 50 = 399 \]

### Step 8: Calculate the total number of pen drives, calculators, and washing machines produced.
Now we sum the quantities of pen drives, calculators, and washing machines:
\[ \text{Total} = \text{Pen drives} + \text{Calculators} + \text{Washing machines} \]
Calculating:
\[ \text{Total} = 275 + 231 + 399 = 905 \]

### Final Answer:
The total number of pen drives, calculators, and washing machines produced by the company is **905**.

---