Question

The total cost of a score of apples and a dozen of oranges is greater than or equal to $₹420$. The cost of each apple cannot exceed $₹15$. Find the minimum possible cost of each orange (in ₹) $(1$ score $=20)$.

• A. 9
• B. 11
• C. 10
• D. 12

Answer 1

Answer: (C)

Let the cost of each apple $=₹x$
Cost of each orange $=₹\gamma$
$20x+12y\ge 420$
$(\because 1\text{ score }=20)$
To get the minimum cost of orange, the apple cost must be maximum, i.e., ₹ 15 .
$\therefore 20\times 15+12y\ge 420$
$12y\ge 420-300$
$\Rightarrow 12\gamma \ge 120$
$y\ge 10$
The minimum possible value is 10 .