In what ratio Sugar costing Rs.15 per kg be mixed with sugar costing Rs.24 per…

Find the ratio in which sugar at Rs.15 per kg (lower price) and sugar at Rs.24 per kg (higher price) must be mixed to get a mixture worth Rs.20 per kg.

Method 1 (Alligation):

• Difference between higher price and mean price: 24 − 20 = 4.

• Difference between mean price and lower price: 20 − 15 = 5.

• Therefore quantities of Rs.15 and Rs.24 sugars should be in the ratio 4 : 5 (lower : higher).

Method 2 (Algebra):

• Let x kg be at Rs.15 and y kg be at Rs.24. Then (15x + 24y)/(x + y) = 20.

• Multiply both sides: 15x + 24y = 20x + 20y → 24y − 20y = 20x − 15x → 4y = 5x.

• So x : y = 4 : 5.

Final answer: Mix sugar costing Rs.15 per kg and Rs.24 per kg in the ratio 4 : 5.