Question

A shopkeeper purchased $20$ dozen bananas for $\text{Rs}208$, Four dozen of the bananas were rotten. At what price per dozen must he sell the remaining bananas so that he is neither at a loss nor at a profit?

• A. $\text{Rs}13$
• B. $\text{Rs}9$
• C. $\text{Rs}11$
• D. $\text{Rs}17$

Answer 1

The correct option is A $\text{Rs}13$

Cost of $20$ dozen bananas $=\text{Rs}208$

Remaining bananas $=$ Total bananas $-$ rotten bananas

$=20-4=16$ dozens

let the selling price of 1 dozen bananas be $x$

as per the question, $16$ dozen bananas are required to be sold at $\text{Rs}208$

$⟹16x=208$

$⟹x=13$

Hence, the remaining bananas are to be sold at $\text{Rs 13}$ per dozen