The cost of two dozen apples and three dozen bananas is ₹ 136. The cost of 5 dozen bananas and one dozen apples is ₹ 110 . What is the price of one dozen bananas?
(a)₹ 16
(b)₹ 18
(c)₹ 20
(d)₹ 24
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the cost of 1 dozen apples be $₹ x$ and that of 1 dozen bananas be ₹ $y$. Then, $$\begin{aligned} & 2 x+3 y=136 \\ & 10 y=220 \quad \ldots(i i) \end{aligned}$$ Subtracting (i) from (ii), we get: $7 y=84$ or $y=12$.
Explanation as extracted from the printed page; notation may be imperfect.