Question

Find the gain or loss per cent: a) CP = ₹ 400 SP = ₹ 500 b)CP = ₹ 300 SP = ₹ 250 pls explain

Answer 1

Answer:

On finding profit or loss percent we use the following formula:-

Profit % = P % = (Profit / C.P ) x 100

Loss % = L % = ( Loss /C.P )x 100

Step-by-step explanation:

We have, C.P. = $ 400$and S.P. = $ 500$.

Since, S.P. > C.P.

Therefore, there is gain or profit.

Profit = S.P. – C.P.

= $500$ - $400$ = $100$

∴ Profit per cent = Profit / C.P. x 100

= 100 / 400 x 100

= 25%

2) C.P. = $ 200$ , S.P. = $ 150 $

Since, C.P. = $ 200$ and S.P. = $ 150$.

As c.p > s.p so there is loss.

Loss = C.P. – S.P.

= $ 200 $- $ 150$

= $ 50 $

∴ Loss per cent = Loss / C.P. x 100

= 50 / 200 x 100

= 25%

Answer 2

Answer I

Given ,

CP = ₹400

SP = ₹500

Since, SP>CP Therefore there is a Profit.

We Know that ,

Profit = SP - CP

= ₹(500 - 400)

= ₹100

Therefore total profit = ₹100

Profit Percentage = $\dfrac{Profit \times 100}{CP}$

= $\dfrac{100 \times 100}{400}$

= 25

Therefore, Profit Percentage = 25%

Answer II

Given ,

CP = ₹300

SP = ₹250

Since SP<CP Therefore there is a Loss.

We know that ,

Loss = CP - SP

= ₹(300-250)

= ₹50

Therefore total Loss = ₹50

Loss Percentage = $\dfrac{Loss \times 100}{CP}$

= $\dfrac{50 \times 100}{300}$

= 16.67

Therefore Loss Percentage = 16.67%

Short-hands Used :-

CP - Cost Price

SP - Selling Price

P - Profit

P% - Profit Percentage

L - Loss

L% - Loss Percentage

Extra Information :-

• CP :- It is the price at which an article is bought.
• SP :- It is the price at which an article is sold.
• Profit :- It is the total money gained by selling the article at more price than CP.
• Loss :- It is the total money losed by selling the article at less price than CP.