If the S.P. of 10 articles is equal to the C.P. of 11 articles. What i...
SP of 10 articles = CP of 11 articles
let CP of 1 article be Rs. 1
CP of 10 articles = Rs. 10
SP of 10 articles = CP of 11 articles = Rs. 11
Profit = SP - CP = 11-10 = Rs. 1
Profit % = Profit/CP � 100
View all questions of this testIf the S.P. of 10 articles is equal to the C.P. of 11 articles. What i...
Given:
S.P. of 10 articles = C.P. of 11 articles
To find:
Gain percent
Solution:
Let the cost price of 1 article be x.
So, the cost price of 11 articles = 11x
Given that the selling price of 10 articles is equal to the cost price of 11 articles.
Selling price of 10 articles = cost price of 11 articles
10x = 11x
We know that Gain or Profit = Selling price - Cost price
Here, selling price = 10x and cost price = 11x
Profit = 10x - 11x = -x
Since the profit is negative, it means there is a loss.
Loss percent = (Loss / Cost Price) x 100
Loss percent = (-x / 11x) x 100
Loss percent = -9.09%
But we need to find the gain percent, so we can convert the loss into gain by multiplying it by -1.
Gain percent = (Gain / Cost Price) x 100
Gain percent = (x / 11x) x 100
Gain percent = 9.09%
Therefore, the gain percent is 9.09%, which is option B.