Question

6
The cost price of 30 articles is equal to the
selling price of 25 articles. Find the loss or
gain percent.​

Answer 1

Answer:

• Gain % = 20%.

Step-by-step explanation:

Given:

• Cost price of 30 articles = Selling price of 25 articles.

To Find:

• Loss or gain percentage.

Let each articles price is Rs. 1. So,

=> CP of 30 articles = Rs. 30 = SP

=> SP of 25 articles = Rs. 25 = CP

So, Gain = SP - CP

=> Gain = 30 - 25

=> Gain = Rs. 5

Now, we will find Gain Percentage,

=> Gain % = Gain/SP × 100

=> Gain % = 5/25 × 100

=> Gain % = 0.2 × 100

=> Gain % = 20%

Hence, Gain % = 20%.

Answer 2

Question :- The cost price of 30 articles is equal to the

selling price of 25 articles. Find the loss or gain percent. ?

✪ Solution ⓵ :--

Lets Try it with Basic Method First .

Let CP of one article = Rs. x

Than ,

CP of 30 article = Rs. 30x = SP of 25 article..

Now,

Cp of 25 article = Rs. 25x

Now, we know that, when SP is more than CP , we have Gain . That is given by :--

Gain = SP - CP

→ Gain = SP of 25 article - CP of 25 article

Putting value of SP of 25 article from above we get :--

→ Gain = 30x - 25x

→ Gain = Rs. 5x

So, their was a Gain of Rs.5x .

Now, Profit and Loss % is always on CP .

→ Profit % = (Profit in Rs.) * 100/ (CP)

Putting values we get ,

→ Profit % = (5x) * 100 / 30x [ As Profit was on 25 articles]

→ Profit % = 20% .

Hence, in this case , we have Profit of 20% ..

_____________________________

✭ Solution ❷ :-

Lets try it with ratio Method Now,

➳ 30CP = 25SP

➳ CP /SP = 25/30

➳ CP/SP = 5/6

So,

➺ CP = 5

➺ SP = 6

➪ Gain = SP - CP = 6-5 = 1

⟿ Gain % = 1 * 100 /5 = 20% (Ans).

Hence, in this case , we have Profit of 20% .

____________________________

❦ Solution ⓷ :-

Lets See Direct Formula Now ,,,

→ If CP of A article = SP of B article

and , we have , A > B ,,

Than Their will be Always Gain .

And , in This case , Gain % is Given by = [ ( A-B)*100/B ]

→ and , if we have, A < B ,,

Than, Their will be Loss Always..

And , in This case , Loss % is Given by = [ (B-A)*100/B ]

❁ From Question we have,

→ CP of 30 article = SP of 25 article

Here, A = 30 , and B = 25

since, A > B .

We have Gain % .

☛ Gain % = (30-25)*100/25

☛ Gain % = 5*100/25

☛ Gain % = 20 %

Hence , we have gain of 20% .

_____________________________

✭ Similar Question :-

Find the loss or gain as percent, if the c. p. Of 8 articles a, all of the same kind, is equal to s. p of 10 articles

https://brainly.in/question/15137698?utm_source=android&utm_medium=share&utm_campaign=question .

( Hope it Helps you).