Question

A man sells 45 lemons for 40 and loses 20%. At what price should he sell 24 lemons to the next
customer to make a 20% profit?
Ans-32​

Answer 1

Answer:

Given:

• A man sells 45 lemons for 40 and loses 20%.

Find:

• At what price should he sell 24 lemons to the next customer to make a 20% profit?

Know terms:

1. Cost price = (CP)
2. Selling price = (SP)

Calculations:

• We know that, a man sells 45 lemons at the rate of 40 rupees and also get loss of 20℅.

⇒ $\bold{CP \:of \: 45 \: lemons= \dfrac{40 \times 100}{80}}$

⇒ $\bold{CP = \cancel{\dfrac{4000}{80}}}$

⇒ ${\sf{\underline{\boxed{\green{\sf{CP = 50}}}}}}$

⇒ $\bold{SP \: of \: 45 \: lemons= \dfrac{50 \times 120}{100}}$

⇒$\bold{SP = \cancel{\dfrac{6000}{100}}}$

⇒ ${\sf{\underline{\boxed{\green{\sf{SP = 60}}}}}}$

• We know that, according to question we should find the number of lemons sold for 24 rupees at the profit of 20℅.

⇒ $\bold{Profit = \dfrac{45 \times 24}{60}}$

⇒ $\bold{Profit = \cancel{\dfrac{1080}{60}}}$

⇒ ${\sf{\underline{\boxed{\green{\sf{Profit = 18 }}}}}}$

Therefore, 18 is the right answer.

Answer 2

In the above Question, the following information is given -

A man sells 45 lemons for 40 and loses 20%.

To find -

At what price should he sell 24 lemons to the next customer to make a 20% profit?

Solution -

Here, he sells 45 lemons for Rs. 40

Therefore the sale price of 45 lemons is Rs. 40

Now, he looses 20 ℅.

So, the sale price of the lemons is 80℅ of the cost price.

Let the cost price of all the lemons be Rs. X

=> 80℅ of x = 40

=> x = Rs. 50.

So, we can find that the cost price of 45 lemons is Rs. 50.

=> Cost price of 1 lemon is Rs. 45/50

=> Cost price of 69 lemons is Rs. 62.1

Now, he needs to make a 20 ℅ profit.

So, his new Sale price should be 120℅ of 62.1.

=> New Sale Price = Rs. 74.52

So , he needs to sell 24 lemons at a price of Rs. 74.52

So , SP of 1 lemon

=> Rs. ( 74.52 / 24 )

=> Rs. 3.105

This is the required answer .

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