Question

A grocer buys 108eggs at the rate of 25 per dozen and sells them at 2.50 each. Find his loss or gain percent

Answer 1

Solutions :-

Given :
A grocer buys 108 eggs at the rate of 25 per dozen.
Sells them at 2.50 each


We know that,
1 Dozen = 12 units

Cost of 12 eggs = Rs 25
Cost of 108 eggs = Rs 25 × 108/12 = Rs 225


Find the Selling price of 108 eggs at 2.50 each :-

1 egg = Rs 2.50
108 eggs = Rs 2.50 × 108 = 270


Now, we have
Cost Price = Rs 225
Selling price = Rs 270


Selling price is greater than the Cost price. Therefore, Gain .

Gain = S.P - C.P
= Rs (270 - 225)
= Rs 45

Gain % = (gain × 100)/C.P %
= (45 × 100)/225 %
= 4500/225 %
= 20%


Hence,
His gain percent = 20%

Answer 2

Solutions :-

We have,
A grocer buys 108 eggs at the rate of 25 per dozen.


We know,
12 eggs = 1 Dozen
108 eggs = 108/12 = 9 dozen


Since,
Cost of 1 Dozen eggs = Rs 25
Cost of 9 dozen eggs = Rs 25 × 9 = Rs 225


Eggs are sold at Rs 2.50 each

By unitary method,
1 egg = Rs 2.50
108 eggs = Rs 2.50 × 108 = 270


We get,
Cost Price of 108 eggs = Rs 225
Selling price of 108 eggs = Rs 270


Selling price > Cost price


Gain = S.P - C.P
= Rs (270 - 225)
= Rs 45

Gain % = (gain × 100)/C.P %
= (45 × 100)/225 %
= 4500/225 %
= 20%


Answer : Gain percent = 20%