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If the S.P. of 10 articles is equal to the C.P. of 11 articles. What is the gain percent?f
  • a)
    5%
  • b)
    10%
  • c)
    15%
  • d)
    20%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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

SP is greater than CP
Profit = SP - CP = 11-10 = Rs. 1

Profit % = Profit/CP � 100
= 1/10�100 = 10%
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Most Upvoted Answer
If 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.
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