a woman bought 50 dozen eggs at Rs 16 a dozen.
out of these ,20 eggs were found to be broken she sold the remaining eggs at Rs 1.50 per egg .find her gain or loss per cent
Answers
Answer:
8.75
Step-by-step explanation:
she bought 60 dozen at rs. 16 per dozen.
The total cost is 16×50 =rs.800 (CP)
50×12=600 (total eggs)
20 eggs break, the no. of eggs =580.
total SP =1.5×580=rs.780.
800(x/100)=870
8x=870
x=870/8
x=108.75
Question:-
- A woman bought 50 dozen eggs at Rs. 16 a dozen . Out of these , 20 eggs were found to be broken . She sold the remaining eggs at Rs. 1.50 per egg . Find her gain or loss per cent?
Given:-
- A woman bought 50 dozen eggs at Rs 16 a dozen.
- 20 eggs were found to be broken.
- remaining eggs sold at Rs 1.50 per egg.
Solution:-
{ According to question and given }
We know 12 item in an one dozen.
Hence,
- 50 dozen eggs = {50 × 12}eggs
- 50 dozen eggs = 600 eggs
{ According to question and given }
Cost price (C.P) of one dozen eggs
at Rs 16.
Hence,
C.P of 600 eggs = Rs {50×16}
C.P of 600 eggs = Rs 800
{ According to question and given }
From 600 eggs, 20 eggs were found to be broken.
So now,
Remaining eggs = {600 - 20} eggs
Remaining eggs = 580 eggs
Selling price (S.P) of 580 eggs at
Rs 1.50 per egg.
Hence,
S.P of 580 eggs = Rs {580×1.50}
S.P of 580 eggs = Rs 870
Hence, we can conclude that cost price less than selling price so its profit.
[ C.P < S.P ]
Now,
—› Profit = S.P - C.P
—› Profit = Rs { 870 - 800 }
—› Profit = Rs 70
{ Gain percent or Profit percent }
—› Profit % = {Profit × 100}/C.P
—› Profit % = {70 × 100}/800
—› Profit % = 7000/800
—› Profit % = 8.75 %
Hence, gain% or profit% is 8.75 %
Hope it helps you.