Test Index

AFCAT Model Paper 1

Question : 60 of 100

Marks: +1, -0

Solution:

Given:

The selling price of 10 articles = Cost price of 11 articles

Calculation:

Let the gain percentage be x%.

Let S.P represents the selling price

and C.P represents the cost price

According to the question,

10 \times S.P = 11 \times C.P

⇒

S \cdot P = \frac{11}{10} \times C \cdot P

We know that,

⇒ Selling price

=

Cost price

\times \left(1 + \frac{\text{gain percentage}}{100}\right)

Replacing value of selling price we get,

⇒

\frac{11}{10} \times C \cdot P = C \cdot P \times \left(1 + \frac{x}{100}\right)

⇒

\frac{11}{10} - 1 = \frac{x}{100}

⇒ x = 10%

Hence, the gain percentage is 10%.

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