A vendor bought 4 dozen eggs at 34 each. 7
of these were broken. At what price per dozen
should he sell the remaining eggs so as to gain
10% on the whole?
Answers
Answer:
5.15
Step-by-step explanation:
Dozen=12
price of each egg=Rs 4
Total price=4*12*4
=Rs 192
Seven were broken=4*7
=21
192-21=171
To gain 10% profit he should sell them at rate of
192*110/100=211.2
12*4=Total eggs=48
Present no. of eggs=48-7=41
To gain Rs 211.2 he should sell each egg at rate of 211.2/41=Rs 5.15
Answer:
Question :-
- A vendor bought 4 dozen eggs at 34 each. 7 of these were broken. At what price per dozen should he sell the remaining eggs so as to gain 10% on the whole?
Answer
It is given that vendor bought 4 dozen eggs at ₹ 34 each.
It implies, Cost of 1 dozen egg = ₹ 34
So, Cost of 4 dozen eggs = 34 × 4 = ₹ 136
It means Cost of 48 eggs = ₹ 136.
Now, 7 eggs are broken.
So, remaining number of eggs = 48 - 1 = 47
⇛ Cost price of 41 eggs = ₹ 136.
Now, the vendor wishes to gain 10 % of the cost of eggs.
Profit = 10/100 × 136 = ₹ 13. 60
⇛ Selling price of all eggs = ₹ 136 + ₹ 13. 60 = ₹ 149. 60
⇛ Selling price of 41 eggs = ₹ 149. 60
⇛ Selling price of 1 egg = 149.60 ÷ 41 = ₹ 3. 65
⇛ Selling Price of 12 eggs = 12 × ₹ 3.65 = ₹ 43.8
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Additional Information
Profit, P = SP – CP; SP>CP
Loss, L = CP – SP; CP>SP
P% = (P/CP) x 100
L% = (L/CP) x 100
SP = {(100 + P%)/100} x CP
SP = {(100 – L%)/100} x CP
CP = {100/(100 + P%)} x SP
CP = {100/(100 – L%)} x SP
Discount = MP – SP
SP = MP -Discount