Question

a vendor purchased 20 trays each containing 30 eggs at rs 70 per tray.12 eggs were found broken. The remaining are sold at rs 30 per dozen.Find his gain or loss%.​

Answer 1

The gain of the vendor is 5%

Question :

A vendor purchased 20 trays each containing 30 eggs at Rs.70 per tray. 12 eggs were found broken. The remaining are sold at Rs.30 per dozen.Find his gain or loss%.

Given :

【A vender】,

◆Purchased 20 trays each contain 30 eggs

◆The cost price of 1 tray ( 30 eggs ) is Rs.70

◆12 eggs are broken

◆ selling price of one tray ( 30 eggs ) is Rs.30

To Find :

His loss or gain%

Solution :

$1 \: tray \: = \: rs70 \\ 20 \: trays \: = 20 \times 70 = rs1400$

Hence cost price of eggs is Rs.1400

$1 \: tray \: = 30 \: eggs \\ 20 \: trays \: = 20 \times 30 = 600 \: eggs$

We know that ,

1 dozen = 12 Numbers

$600 \: eggs \: = \: 50 \times 12 \: eggs \: = 50 \: dozens$

$12 \: eggs \: broken \: hence \: have \: \: 1 \: dozen \: found \: broken$

Hence subract the broken eggs from good eggs,

$50 \: dozen - 1dozen = 49dozens$

It's given 1 dozen egg = Rs.30

$49 \: dozen \: \: \times rs.30 =rs. 1470$

Hence selling price of eggs is Rs.1470

We know that ,

Profit = Selling price - Cost price

= Rs.1470 - Rs.1400

= Rs.70

$profit \: percentage = \frac{profit \times 100}{cost \: price}$

$= \frac{70 \times 100}{1400 } \\ = \frac{7000}{1400} = 5 \: percentage$

Answer 2

The vendor gets 5% profit by selling his eggs