A fruit seller sells apples at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?
11.32
11
12
11.81
Explanation:
SP = 9
Loss = 20%
CP = $\dfrac{100}{(100 - Loss\%)} \times SP$ = $\dfrac{100}{(100 - 20)} \times 9$ = $\dfrac{100}{80} \times 9 $
= $\dfrac{5}{4} \times 9$
To make a profit of 5%, SP = $\dfrac{100 + Gain\%}{100} \times CP$ =$\dfrac{\left(100 + 5\right)}{100} \times CP$
=$\dfrac{105}{100} \times \dfrac{5}{4} \times 9 $= $\dfrac{105}{100} \times \dfrac{5}{4} \times 9$ = $\dfrac{21}{20} \times \dfrac{5}{4} \times 9$ =$ \dfrac{21}{4} \times \dfrac{1}{4} \times 9 $=$ \dfrac{189}{16} $= 11.81