A fruit merchant bought some bananas. One fifth of them got rotten and were thrown away. He sold two fifth of the bananas at 15% profit and the remaining bananas at 10% profit. Find the overall loss or profit percent.
Answer & explanation
Correct answer: option 4
⇒ Assume total 25 bananas are there and cost of each is Rs.10
Cost of 25 bananas = 25 × 10 = Rs.250
After throwing rotten bananas, remaining bananas = 25 × \(\frac{4}{5}\) = 20
Therefore, now the cost of 20 bananas = Rs.250
It means cost of each banana after throwing rotten bananas = \(\frac{250}{20}\) = Rs.12.5
On 15% profit ⇒ no. of bananas = 20 × \(\frac{2}{5}\) = 8
S.P. of 8 bananas = (8 × 12.5) × 115% = Rs.115
On 10% profit ⇒ no. of bananas = 20 - 8 = 12
S.P. of 12 bananas = (12 × 12.5) × 110% = Rs.165
Total S.P. = 115 + 165 = 280
C.P. = 250
Profit = 280 - 250 = 30
Profit percent = \(\frac{30}{250}\) = 12%