Question

A person sells 36 oranges per Re 1 and makes a loss of 4%. Find how many oranges per Re to be sold to have a gain of 8%?

• A. $\frac{1}{32}$
  
• B. 5
  
• C. $\frac{1}{16}$
  
• D. $\frac{1}{16}$
• E. None of these

Answer 1

The correct option is A $\frac{1}{32}$


We have,
$S.P{.}_1$ =Selling price of one orange $=Re\frac{1}{36}.$
x=-4, y =8
Using the formula, $\frac{S.P{.}_1}{100+x}=\frac{S.P{.}_2}{100+y}$
we get, $\frac{\frac{1}{36}}{100-4}=\frac{S.P{.}_2}{100+8}\Rightarrow S.P{.}_2=\frac{108}{96}\times \frac{1}{36}=\frac{1}{32}.$