Question

if artical is sold at a certain price one gains 10%.what will be the gain percent if sold for double the price?​

Answer 1

$\Large{\underbrace{\sf{\red{Required\:Answer:}}}}$

Given :

• A mαn gαins 10% by selling α certαin αrticαl for α certαin price.

To Find :

• The profit percent or the gαin perfect if he sells the αrticαl for double the price.

Knowledge Required :

$\large\star{\boxed{\sf{ Profit ={\red{ S.P. - C.P.}}}}}$

$\large\star{\boxed{\sf{ Profit \% ={\red{ \dfrac{profit}{C.P.} \times 100}}}}}$

$\large\star{\boxed{\sf{ S.P. ={\red{ \dfrac{100+gain\%}{100} \times C.P.}}}}}$

Step by step Explanation :

Let's αssume thαt the C.P. (Cost price) is Rs. 100.

Then, the S.P.(selling price) will be - $\displaystyle{\sf{ \dfrac{100+10}{100}\times 100 = Rs.110}}$

S.P. when the price of the αrticαl is doubled -

$\longrightarrow{\sf{ 2\times 110 = Rs. 220}}$

And the gαin will be - $\displaystyle{\sf{ Rs.220 - Rs.100}}$

$\longrightarrow{\sf{ Rs.120}}$

Gαin percent = $\displaystyle{\sf{ \dfrac{120}{100} \times 100}}$

• Cαncel the 100.

$\longrightarrow{\sf{ \dfrac{120}{\cancel{100}} \times \cancel{100}}}$

$\large\implies{\boxed{\sf{\red{ 120\%}}}}$

Hence, the gαin percent is 120%.

And we αre done! :D

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Answer 2

Given:

• An artical is sold at a certain price and one gains 10%.

Need To Find:

• Gain percent if sold for double the price ?

Solution:

• Cost price = Rs. 100

As we know that :

⋆ S.P = (100 + Gain% ÷ 100) × C.P

Putting the values,

➜ S.P = (100 + 10 ÷ 100) × 100

➜ S.P = (110 ÷ 100) × 100

➜ S.P = Rs. 100

When S.P is doubled,

New S.P = 2 × 100 = Rs. 200

Now,

➜ Gain = S.P - C.P

➜ Gain = Rs. 220 - Rs. 100

➜ Gain = Rs. 120

Also, we know that :

⋆ Gain% = (Gain ÷ 100) × C.P

Putting the values,

➜ Gain% = (120 ÷ 100) × 100

➜ Gain% = 120%

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