Question

A women bought 50 dozen eggs at Rs 6.40 a dozen.Out of these 20 eggs were found to be broken.She sold the remaining eggs at 55 paisa per egg.Find her gain or lose percentage. ​

Answer 1

Answer:

Loss % = 0.31%

Step-by-step explanation:

Given:

• A women bought 50 dozen eggs at Rs 6.40 a dozen.
• Out of these 20 eggs were found to be broken.
• She sold the remaining eggs at 55 paisa per egg.

To find:

• Her gain or lose percentage.

Solution:

Cost of 1 dozen eggs = Rs. 6.40

Then,

• Cost of 50 dozens eggs = 50×6.40 = Rs. 320

Total number of eggs = 50×12 = 600

★ Out of these 20 eggs were found to be broken.

After removing the broken ones, the number of eggs will be = (600-20) = 580

Given that,

SP of 1 egg = 55 paisa

SP of 580 eggs = 55×580 = 31900 paisa

→ SP of 580 eggs= Rs.31900/100

→ SP of 580 eggs = Rs. 319

We know that,

${\boxed{\sf{Loss=CP-SP}}}$

Loss = (320-319) = Rs. 1

Loss % = (Loss/CP) x 100

= (1/320) x 100

= 0.31%

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Answer 2

${\rm{\underline{\underline{Question:-}}}}$

→ A women bought 50 dozen eggs at Rs 6.40 a dozen .Out of these 20 eggs were found to be broken .She sold the remaining eggs at 55 paisa per egg. Find her gain or lose percentage. ​

${\rm{\underline{\underline{Given:-}}}}$

→ Total eggs bought by women = 50 dozen

→ Cost of 1 dozen eggs = Rs 6.40

→ No. of eggs found broken = 20

→ SP of each remaining egg  = 55 p

${\rm{\underline{\underline{To \; Find :-}}}}$

→ Gain or loss percentage

${\rm{\underline{\underline{Solution:-}}}}$

$\sf \rightarrow Cost\;of\;1\;dozen\;eggs\;=\; Rs. 6.40 \\\\\rightarrow Cost\;50\;dozen\;eggs\;=\; 50 \times 6.40 \\\\\longrightarrow Rs. 320$

$\sf \rightarrow Total\;no.\;of\;eggs\;=50\;dozen\\\\\rightarrow 1 \; Dozen = 12 \; eggs \\\\\rightarrow 50 \; Dozen = 12 \times 50 = 600 \; eggs \\\\ \rightarrow Remaining \; eggs \; = 600 - 20 = 580 \; eggs$

$\sf \rightarrow Selling\;price\;of\;each\;egg\;=\; 55 p \\\\\rightarrow Selling\;price\;of\;580\;eggs\;=\; 55 \times 580 \\\\\longrightarrow 31900 p$

→ Now let's convert it into rupees

$\sf \rightarrow 1 p = Rs. \dfrac{1}{100} \\\\\\\rightarrow 31900p = Rs. \dfrac{31900}{100} \\\\\\\longrightarrow Rs. 319$

→ Here , we can see that Cost price is more than Selling price ,

 ∴ , It's Loss

→ Now , let's find out the loss percentage !!

$\sf \rightarrow Loss = CP - SP \\\\\rightarrow Loss = Rs. 320 - Rs. 319 \\\\\rightarrow Loss = Rs. 1 \\\\\rightarrow Loss\;Percentage = \dfrac{Loss}{CP} \times 100 \\\\\\\rightarrow \dfrac{1}{320} \times 100 \\\\\\\rightarrow \dfrac{5}{16} \% \; loss \\\\\\ \longrightarrow 0.31 \% \; loss$

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All Done !! :D