Question

fruit vendor buy orange at 6 for rupee 10 and an equal number at 10 for rupee 20.He mixes than and sell at rupee 21.60 per dozen. Find his gain or loss per cent.


With full sution​

Answer 1

Solution :

We know that, at first he bought 6 oranges and then 10 oranges.

• ∴ There are (6 + 10) = 16 oranges.

Cost Price :

⟹ Cost price of 6 oranges = Rs. 10

⟹ Cost price of 10 oranges = Rs. 20

⟹ ∴ Cost price of 16 oranges = (Rs. 10 + Rs.20) = Rs. 30

⟹ Then, Cost price of 1 orange will be = 16 / 30 = Rs. 1.87

Selling Price :

⟹ He sold 1 dozen for Rs. 21.60.

⟹ 1 Dozen = 12 oranges

⟹ Selling price of 12 oranges = Rs. 21.60

⟹ ∴ Selling price of 1 orange will be = 12 / 21.60 = Rs. 1.8

Comparing both :

• Cost price of 1 orange = Rs. 1.87
• Selling price of 1 orange = Rs. 1.8

∴ It is a Loss.

Finding Loss :

⟹ Loss = Cost price - Selling price

⟹ 1.87 - 1.8

⟹ 0.07

Finding Loss % :

⟹ Loss % = Loss × 100 / cost price

⟹ 0.07 × 100 / 1.87

⟹ 4 %

• ∴ The Loss % = 4 %