Question

By selling an article for Rs 240, a man makes a profit of 20%. What is his C.P.? What would his profit percentage be if he sold the article for Rs 275 (profit % answer to be written in decimal)?​

Answer 1

Answer:

Let CP=Rs.x

SP=Rs.240

Let the profit be Rs.P.

Now, profit %=20%

Since

Profit %=(Profit/CP)×100

⇒20=(P/x)×100

⇒P=20x/100=x/5

Profit=SP−CP=240−x

$$⇒ P = 240 - x $$

$$⇒ x/5 = 240 - x$$

$$⇒ 240 =  x + x/5$$

$$⇒ 240 = 6x/5$$

$$⇒ x = 1200/6 = 200$$

So, CP=Rs.200

New SP=Rs.275 and CP=Rs.200

Profit %=(SP−CP)/CP×100=(275−200)/200×100=(75/200)×100

=7500/200=37.5%

C.P.=Rs.200,Profit %=37.5%

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Answer 2

Answer:

profit is 20% therefore

240=120%

1%=240/120

100%=240/120*100=200

now 1%=240/120=2

it means rs 2 is equal to 1%

therefore 1 rs is equal to 1/2%

and 75 rs =1/2*75=37.5