Question

Vikas goes to the market for buying some fruits. If the cost of $6$ apples and $3$ bananas is $Rs.43.50$. But $5$ apples and $7$ banana costs $Rs.61$. How much does $1$ banana and $1$ apple cost together?

• A. $Rs.8$
• B. $Rs.9.75$
• C. $Rs.10$
• D. $Rs.11.25$

Answer 1

The correct option is C $Rs.10$

Let the apples and bananas be represented by a and b respectively.

$\because$ cost of $6$ apples and $3$ bananas is Rs. $43.50$.

$\therefore 6a+3b=43.5⟶{eq}^n\left(i\right)$

Cost of $5$ apples and $7$ bananas is Rs. $61.$

$\therefore 5a+7b=61⟶{eq}^n\left(ii\right)$

On solving ${eq}^n\left(i\right)\&\left(ii\right)$, we get

$a=7.66,b=3.24$

Hence the cost of $1$ apple and $1$ banana is Rs$.7.66$ and Rs.$3.24$ respectively.

Cost of $1$ apple and $1$ banana together $=a+b=7.66+3.24=Rs.10$

Hence $C$ is correct answer.