By selling 18 oranges for ₹151.20 a man loses 20%. How many oranges should he sell for ₹819 to earn a profit of 30%?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 60.
The selling price of 18 oranges = Rs. 151.2
Loss % = 20
Selling price = Cost price × (100 + profit%)
Selling price = Cost price × (100 - loss%)
The selling price of 18 oranges = Rs. 151.2
So, the selling price of 1 orange = 151.2/18 = Rs. 8.4
Now, the Cost price of 1 orange = 8.4 × (100/80) = Rs. 10.5 [As there was a loss of 20%]
Now, the Selling price of 1 orange with 30% profit = 10.5 × (130/100) = 13.65
Let him sell x number of oranges for Rs. 819.
According to the question -
13.65 × x = 819
x = 819/13.65
x = 60