Two types of sugar, one costing ₹50/kg and another costing ₹70/kg, are mixed with a third variety in the ratio 2 : 3 : 4. If the mixture is worth ₹62/kg, what is the price of the third variety of sugar per kg?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹62.00.
Let the amounts of 3 types of sugars be 2x, 3x and 4x.
Let the cost of third variety of sugar be A per Kg.
According to the given question,
2x × 50 + 3x × 70 + 4x × A = 9x × 62
⇒ x(100 + 210 + 4A) = 558x
⇒ 4A = 558 - 310
⇒ A = 248/4
⇒ A = 62