Question

How many kg of sugar costing Rs 5.75 per kg should be mixed with 75 kg of cheaper sugar costing Rs 4.50 per kg so that the mixture is worth Rs 5.50 per kg ?

• A. 350 kg
• B. 300 kg
• C. 250 kg
• D. 325 kg

Answer 1

The Correct Option is B

Let the quantity of sugar = \(x\)
By the rule of mixture and Alligation,
Type A                                                            Type B
    x                                                                     75
  5.75                                                                 4.50
                               5.50
 1.00                                                                  0.25
\(\frac{x}{1.00}=\frac{75}{0.25}\)
\(x=\frac{75\times1}{0.25}\)
\(x = 300 \;Kg\)

The correct option is (B): 300 kg