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 difference between the total number of televisions and mobile phones together and the number of calculators produced?

Options

A. 514
B. 524
C. 511
D. 523

Answer

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

### Step 1: Calculate the number of mobile phones produced.
- We know that 24% of the total products (1650) are mobile phones.
- Calculation:
\[ \text{Number of mobile phones} = \frac{24}{100} \times 1650 = 396 \]

### Step 2: Calculate the number of pen drives produced.
- We know that one sixth of the total products is pen drives.
- Calculation:
\[ \text{Number of pen drives} = \frac{1}{6} \times 1650 = 275 \]

### Step 3: Calculate the number of calculators produced.
- We know that 14% of the total products are calculators.
- Calculation:
\[ \text{Number of calculators} = \frac{14}{100} \times 1650 = 231 \]

### Step 4: Calculate the remaining products (televisions and washing machines).
- Total products accounted for so far:
\[ \text{Total accounted} = \text{Mobile phones} + \text{Pen drives} + \text{Calculators} = 396 + 275 + 231 = 902 \]
- Remaining products:
\[ \text{Remaining products} = 1650 - 902 = 748 \]

### Step 5: Set up the equations for televisions and washing machines.
- Let the number of televisions be \( x \).
- Then, the number of washing machines will be \( x + 50 \).
- The equation becomes:
\[ x + (x + 50) = 748 \]
Simplifying gives:
\[ 2x + 50 = 748 \]
\[ 2x = 698 \]
\[ x = 349 \]
- Therefore, the number of televisions is \( 349 \) and the number of washing machines is:
\[ 349 + 50 = 399 \]

### Step 6: Calculate the total number of televisions and mobile phones together.
- Total number of televisions and mobile phones:
\[ \text{Total} = \text{Televisions} + \text{Mobile phones} = 349 + 396 = 745 \]

### Step 7: Find the difference between the total number of televisions and mobile phones together and the number of calculators produced.
- Difference:
\[ \text{Difference} = (\text{Total of TVs and Mobile Phones}) - (\text{Number of Calculators}) = 745 - 231 = 514 \]

### Final Answer:
The difference between the total number of televisions and mobile phones together and the number of calculators produced is **514**.

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