Question

A table shows production (in units) of two factories: 

 

• A. 5:7 
• B. 3:4
  
• C. 4:5
  
• D. 5:6
  

Hint:

For ratios, sum totals and simplify by dividing by common factors.

Answer 1

The Correct Option is A

- Step 1: Calculate total for Factory X. Jan = 200, Feb = 250, Mar = 300.

 Total = $200 + 250 + 300 = 750$. 

- Step 2: Calculate total for Factory Y. Jan = 300, Feb = 350, Mar = 400. 

Total = $300 + 350 + 400 = 1050$. 

- Step 3: Find ratio. 

Ratio X:Y = $750:1050$. 

- Step 4: Simplify. $\frac{750}{1050} = \frac{75}{105} = \frac{5}{7}$. 

Recalculate: $750 \div 150 = 5$, $1050 \div 150 = 7$.
 
- Step 5: Verify. Total X = 750, Y = 1050. 

Ratio = $\frac{750}{1050} = \frac{5}{7}$. 

- Step 6:  Option (1) is answer