Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Mixture and Alligation

Question:

Two blends of a commodity costing Rs 45 and Rs 50 per Kg respectively are mixed in the ratio of 2 : 3 by weight.  If one-fifth of the mixture is sold at Rs 60 per Kg and remaining at the rate of Rs 65 per Kg, then profit percent is:

Options:

33\(\frac{1}{3}\)%

50%

20%

30%

Correct Answer:

33\(\frac{1}{3}\)%

Explanation:

Ratio of weight = 2 : 3 = 5R (total)

Now,

Total C.P. = (45 × 2) + (50 × 3) = 90 + 150 = 240

Total S.P. = [5 × \(\frac{1}{5}\) × 60] + [5 × \(\frac{4}{5}\) × 65] = 60 + 260 = 320

Profit = 320 - 240 = 80

Profit percent = \(\frac{80}{240}\) × 100 = 33\(\frac{1}{3}\)%