Question

A sold an article to B at 10% profit. B sold it to C at 20% profit. Find the profit at which A bought the article if B's profit is rupees 44?​

Answer 1

Answer:

Let CP of A be Rs 100 <br> (ii) Let CP For A be Rs 100x <br> (iii) Find CP and SP for B and then find profit carned by B (in x) and compare it with Rs 44 <br> (iv) CP of B = SP of A

Answer 2

Appropriate Question :-

A sold an article to B at 10% profit. B sold it to C at 20% profit. Find the profit at which A sold the article if B's profit is rupees 44?

Solution :-

Let; A purchased an article at 100x.

According to Question :-

A sold articles to B at 10%.

╰┈➤ Sp of of article = 100x + 100x × 10%

╰┈➤ Sp of of article = 100x + 10x

╰┈➤ Sp of of article = 110x

It means 110x is the price at which B purchased the article.

Now;

B sold it to C at 20%.

╰┈➤ Sp of the article for B = 110x + 110x × 20%

╰┈➤ Sp of the article for B = 110x + 22x

╰┈➤ SP of the article for B = 132x

Then we can get the total profit :-

╰┈➤Total profit Total profit = 132x - 110x

╰┈➤ Total profit = 22x

But, it is given that the profit is = 44

Therefore,

╰┈➤ 22x = 44

╰┈➤ x = 2

Cp for A = 100x

Sp for A = 110x

Profit = 10x

And x = 2

╰┈➤ Profit = 10 x 2

╰┈➤ Profit = 20

Hence :-

Total profit will be 20 rupees.