SSC & BANK EXAMS: QUANTITATIVE APTITUDE · MIXTURES & ALLIGATION

Mixtures and alligation

Cheaper : dearer = (dearer − mean) : (mean − cheaper). For repeated replacement: final = initial × (1 − x/V)ⁿ.

Loading practice…

Worked examples

Example 1 · level 1

In what ratio must a grocer in Nagpur mix basmati rice costing ₹40/kg with basmati rice costing ₹65/kg so that the mixture costs ₹47/kg?

  1. 19 : 7
  2. 7 : 18
  3. 18 : 7
  4. 8 : 13
Show solution
  1. Cheaper : dearer = (65 − 47) : (47 − 40)
  2. = 18 : 7.

Answer: 18 : 7

Example 2 · level 2

In what ratio must a grocer in Kochi mix dal costing ₹70/kg with dal costing ₹80/kg so that the mixture costs ₹77/kg?

  1. 3 : 7
  2. 7 : 8
  3. 7 : 3
  4. 4 : 7
Show solution
  1. Cheaper : dearer = (80 − 77) : (77 − 70)
  2. = 3 : 7.

Answer: 3 : 7

Example 3 · level 3

A container has 40 litres of milk at a dairy in Anand. 4 litres are taken out and replaced with water. This is done 3 times in all. How many litres of milk are left?

Show solution
  1. Fraction kept each time = 1 − 4/40 = 0.9.
  2. Milk left = 40 × (0.9)^3 = 29.16 litres.

Answer: 29.16 litres

Search by task, format or tool name.