Question

A shopkeeper buys two varieties of sugar at ₹120 and ₹80 per kg, respectively, and mixes them in the ratio 2: 3. He then sets the marked price of each kg of the blended sugar at 50% above the cost he incurred per kg of the same, and then sold it after offering a 25% discount on the marked price. At what price (in ₹) did the shopkeeper sell each kg of the blended sugar?

• A. 112.5
• B. 102
• C. 108
• D. 96

Answer 1

Answer:

C. 108

Find cost price of mixture (weighted average)

$\text{CP per kg} = \frac{120 \times 2 + 80 \times 3}{2 + 3}$
$= \frac{240 + 240}{5}$
$= \frac{480}{5} = 96$
Marked price (50% above cost)

$\text{MP} = 96 \times 1.5 = 144$
Selling price after 25% discount

$\text{SP} = 144 \times 0.75 = 108$