Question

Some fruits are bought at 15 for Rs 140 and an equal number of fruits at 10 for Rs 120. If all the fruits are sold at Rs 132 per dozen, then what is the profit percent in the entire transaction?
1. \(4 \frac{1}{2}\)
2. \(2 \frac{1}{4}\)
3. \(3 \frac{1}{8}\)
4. 3

Answer 1

Correct Answer - Option 3 : \(3 \frac{1}{8}\)

Given:

Fruits at 15 for Rs.140 = Fruits at 10 for Rs.120

Fruits sold at Rs.132/dozen

Formula used:

Profit > Loss 

Profit = SP - CP 

Profit percent = Profit/CP × 100 

Calculation:

Let 30 fruits are bought at 15 for Rs.140, then cost of 30 fruits = 140/15 × 30 = Rs.280

⇒ 30 fruits are also brought at 10 for Rs.120, then cost of 30 fruits = 120/10 × 30 = Rs.360

⇒ Total cost of 60 fruits = Rs.280 + Rs.360 = Rs.640

SP of 12 fruits = Rs.132

⇒ SP of 1 fruit = Rs.11

⇒ SP of 60 fruits = Rs.11 × 60 = Rs.660

Profit = SP - CP = Rs.660 - Rs.640 

⇒ Rs.20 

Profit percent = 20/640 × 100 = \(3 \frac{1}{8}\)

∴ The required profit percent = \(3 \frac{1}{8}\)%