Question

A vendor purchased 20 trays of eggs, each tray containing 30 eggs, at Rs.70per tray. 12 eggs were found broken. The remaining eggs were sold at Rs.30 per dozen. FIND HIS GAIN OR LOSS PERCENT.

Answer 1

Answer:-

$\small \bf \underline{Given:}$

★★ No. of trays of eggs the vendor purchased = 20 trays

★★ No. eggs in each tray = 30 eggs

★★ Cost of one tray = ₹70

★★ No. of eggs found broken = 12eggs

★★ Selling price of the remaining eggs = ₹30 per dozen

$\small \bf \underline{To \: find:}$

We need to find the gain or loss percent of the vendor

$\small \bf \underline{Solution:}$

Cost of one tray = ₹70

Cost of 20 tray = ₹(70×20)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ₹1400

1 tray contains 30 eggs

So, 20 trays contain (20×30) = 600 eggs

No. of broken eggs = 12 eggs

Therefore, remaining no. of eggs = (600-12) = 588 eggs

1 dozen contains 12 eggs

So, 588 eggs = (588÷12) = 49 dozen

Selling price of 1 dozen eggs = ₹30

Selling price of 49 dozen eggs = ₹(30×49)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ₹1470

Cost price < Selling price

∴ There was a profit after selling the eggs

Profit = Selling price - Cost Price

⠀⠀⠀⠀= ₹(1470 - 1400)

⠀⠀⠀⠀= ₹70

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

$\bf = \frac{70 \times 100}{1400} \%$

$\bf = \frac{70}{14} \%$

$\bf = 5\%$

Answer: The gain percent of the vendor = 5%

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Answer 2

Question:-

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

Answer

Given:-

• No. of egg trays purchased = 20
• No. eggs in each tray = 30 eggs
• Cost of one tray = ₹ 70
• No. of eggs found broken = 12eggs
• Selling price of the remaining eggs = ₹30 per dozen

To find :-

•  Gain or loss percent.

Formula used :-

$\bf \:Profit \: \% = \dfrac{Profit}{Cost Price} \times 100\%$

$\bf \:Loss\% = \dfrac{Loss}{Cost Price} \times 100\%$

Solution :-

Cost Price of one tray = ₹ 70

⇛ Cost Price of 20 tray = 70 × 20 = ₹ 1400

Number of eggs in 1 tray = 30

⇛ Number of eggs in 20 trays  = 30 × 20 =  600 eggs

Now, number of broken eggs = 12 

∴ Remaining number of eggs = 600 - 12 = 588

Selling price of 1 dozen eggs = ₹ 30

⇛ Selling price of 1 egg = ₹ 30/12

⇛ Selling price of 588 eggs = 30/12 × 588 = ₹ 1470

Now, Cost price of 600 eggs = ₹ 1400

and Selling Price of 588 eggs = ₹ 1470

⇛ Selling price > Cost price

∴ There is profit in this transaction.

⇛ Profit = Selling price - Cost Price = 1470 - 1400 = ₹ 70

$\bf \:Profit \: \% = \dfrac{Profit}{Cost Price} \times 100\%$

$\bf \:Profit \: \% = \dfrac{70}{1400} \times 100\%$

$\bf \:⇛Profit \: \% = 5 \%$

_____________________________________________

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