Question

A certain number of articles are bought at 3 for $ 150 and all of them are sold at 4 for $ 180 find the loss or gain as percent.​

Answer 1

Answer:

answer is 350 its correct bro

Answer 2

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given that,

• A certain number of articles are bought at 3 for 150$ and all of them are sold at 4 for 180.

☯️we need to find the loss or gain as percent.

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according to the Question,

first let us find how many articles were bought:

LCM of 3 and 4 = 3×4 = 12 articles.

$\underline{ \red{ \sf hence ,number \: of \: articles = 12 }}$

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• To find loss or gain percent we need to find CP and SP of the 12 articles.

now , let us find the cost price ( cp ) of articles.

$\boxed{ \sf \:{cp = \frac{150 \times 12}{3} } }$

$\boxed{ \sf \:{cp = \frac{1800}{3} }}$

$\boxed{ \sf \: \underline \red{{{cp =600 }}}}$

hence , cost price of 12 articles = 600$

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finally , let us find selling price (SP) of the articles.

$\boxed{ \sf \:{sp = \frac{180 \times 12}{4} }}$

$\boxed{ \sf \:{sp = \frac{2160}{4} }}$

$\boxed{ \sf \: \underline \red{{{sp =540 }}}}$

hence , selling price of the articles is 540$

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let's find the loss or gain :

• If cost price is high in cost it's loss.

$\boxed{ \sf \:{loss = CP - SP = 600 - 540= 60}}$

hence , loss of the 12 articles is 60$.

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now , let us convert 60$ into percentage:

$\boxed{ \sf \:{ \frac{loss \times 100}{cp} = \frac{60 \times 1 \cancel{00}}{6\cancel{00}} }}$

$\boxed{ \sf \:{ \frac{60}{6} = \frac{10}{1} = 10\%}}$

10% is the loss percent of the 12 articles.

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