Question

A man purchased some eggs at 3 for rupees 16 and sold them at 5 for rupees 36.Thus, he gained rupees 168 in all. How many eggs did he purchase?

Answer 1

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✿ Required Answer:

✒ GiveN:

• Purchased some eggs at 3 for Rs. 16
• Sold the eggs at 5 for Rs. 36
• Gained Rs. 168

✒ To FinD:

• No. of eggs he purchased.

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✿ How to solve?

For solving the question, we have to frame a linear equation in one variable taking the number of eggs any variable. We know, that profit is the gain by any seller or the extra amount that he gets in business. So,

$\large{ \boxed{ \sf{Profit = Selling \: price - Purchasing \: price}}}$

☃️ So, By using this let's solve this question....

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✿ Solution:

Let, the no. of eggs be x

We have, (Purchasing)

• No. of eggs = x
• One group of 3 eggs costs = Rs. 3

Then,

➝ No. of groups of 3 eggs = x / 3

➝ One group of 3 eggs = Rs. 16

➝ x / 3 groups of 3 eggs = Rs. 16x / 3

☀️ So, Total money spent = Rs. 16x/3 (Purchasing price)

Now, (Selling)

• No. of eggs = x
• One group of 5 eggs costs = Rs. 36

Then,

➝ No. of groups of 5 eggs = x / 5

➝ One group of 5 eggs = Rs. 36

➝ x / 5 groups of 5 eggs = Rs. 36x/5

☀️ So, Total money got = Rs. 36/5 (Selling price)

By using formula,

➝Profit = Selling price - Purchasing price

➝ Rs. 168 = Rs. 36x/5 - Rs. 16x/3

➝ Rs. 168 = Rs. 108x - Rs. 80x /15

Cross multiplying,

➝ Rs. 28x = Rs. 2520

➝ x = Rs. 2520/ Rs. 28

➝ x = 90 eggs

✤ Therefore, Total number of eggs = 90

⚡ Hence, solved !!

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Answer 2

Answer:

The number of egg he purchased was 90

Step-by-step explanation:

$\huge\fcolorbox{red}{white}{Answer}$

cp of 3 eggs = Rs 16

=> cp of 1 eggs = Rs 16/3

sp of 5 eggs = Rs 36

=> sp of 1 eggs = 36/5

Therefore, profit gained for 1 egg = 36/5 - 16/3

=> profit = 36(3)-16(5)/15

=> profit = 108 - 80/15

=> profit = 28/15

so , profit for 1 eggs = 28/15

then profit for "X" eggs = 168

=> 1 : 28/15 :: X :

=> 168 = 28X /15

=> X= 168×15/28

=> X = 90

HENCE, the number of eggs he purchased was 90

Hope it is helpful to you

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