Question

Raum bought 28 articles for INR 1540
sold them at a profit equal to the selling price of 6 articles.How
many did she sell for INR 840 .​

Answer 1

Given :- Raum bought 28 articles for INR 1540 sold them at a profit equal to the selling price of 6 articles.How many did she sell for INR 840 .?

Solution :-

given that, raum bought 28 articles and sold them at a profit equal to the selling price of 6 articles..

So,

→ Profit = SP of 6 article.

we know that,

→ SP - CP = Profit .

So,

→ SP of 28 article - CP of 28 article = SP of 6 article.

→ SP of 28 article - SP of 6 article = CP of 28 article

→ SP of 22 article = CP of 28 article.

→ SP of 22 article = Rs.1540

→ SP of 1 article = (1540/22) = Rs.70 .

Therefore,

→ In Rs.840 she sells article = (840/70) = 12 articles (Ans.)

Hence, she sells 12 articles for INR 840.

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Answer 2

SOLUTION :

GIVEN

• Raum bought 28 articles for INR 1540
• Raum sold them at a profit equal to the selling price of 6 articles.

TO DETERMINE

The number of articles Raum sold for INR 840

EVALUATION

Here Raum bought 28 articles for INR 1540

So cost price of each articles

$= \displaystyle \sf{ \: } INR \: \frac{1540}{28} = INR \: \: 55$

Let she sold each articles at price of INR P

So the selling price of 28 articles

= INR ( 28 × P )

= INR 28P

Also she made a profit of 6 articles

= INR ( 6× P )

= INR 6P

Now

Selling Price = Cost Price + Amount of Profit

$\implies \sf{}28P = 1540 + 6P$

$\implies \sf{}22P = 1540$

$\implies \sf{}P = 70$

So the selling price of each articles = INR 70

Hence the number of articles Raum sold for INR 840

$\displaystyle \sf{ = \frac{840}{70} \: }$

$\displaystyle \sf{ = 12 \: }$

FINAL RESULT

The number of articles Raum sold for INR 840 is 12

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