01. If a person sells an artide for Rs. 400 gaining of its CP, find the gain percent
Answers
Answer:
The Profit/Gain Percentage = 25 %
Step-by-step explanation:
I believe your Question is,
"If a person sells an artide for Rs.400, gaining (1/4) of its CP, Find the gain percent."
We know that,
S.P = Rs.400
Let the C.P = x
So,
Profit = (1/4)x [Given in the Question]
Now, we know that,
Profit % = (Profit/C.P) × 100
Profit % = ((1/4)x)/x) × 100
x cancels out,
P % = (1/4) × 100
P % = 25%
OR
We know that,
Profit = S.P - C.P
Putting in the values,
(1/4)x = 400 - x
Solving for x,
x + (1/4)x = 400
(4/4)x + (1/4)x = 400
((4 + 1)/4)x = 400
(5/4)x = 400
5x/4 = 400
5x = 4 × 400
x = (4 × 400)/5
x = 1600/5
x = Rs.320
So,
Profit = (1/4)x
P = (1/4) × 320
P = Rs.80
Now, we have the values
Profit % = (P/C.P) × 100
P % = (80/320) × 100
P % = (1/4) × 100
P % = 25%
Hence,
The Profit/Gain Percentage = 25 %
Hope it helped and believing you understood it........All the best