Multiple choice

A person sells 35 oranges for a rupee and suffers a loss of 4%. How many oranges should he sell for a rupee to have a gain of 12%?

  1. 25 oranges

  2. 30 oranges

  3. 32 oranges

  4. 20 oranges

  5. 24 oranges

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

SP of 1 orange = Rs. 1/35

Now, apply this shortcut formula,

S1/(100 + X1) = S2/(100 + X2) 

(X1 and X2 is profit or loss%) 

(1/35)/(100 - 4) = S2/(100 + 12) 

S2 = 1/30 

Now, let y oranges be sold for a rupee. Then,

(1/30) * y = 1 

y = 30 

So, the required number of oranges is 30.