Test Index

AFCAT Model Paper 3

Question : 42 of 100

Marks: +1, -0

Solution:

Given:

Cost price of articles = Rs.490

Loss % = 20%

Profit % = 16%

Formula:

Loss %

= \frac{CP - SP}{CP} \times 100

Profit %

= \frac{SP - CP}{CP} \times 100

Calculation:

Let cost price of one article be Rs.a and cost price of two article be Rs.(490 - a).

Selling price of one article

= a \times \frac{80}{100} = \text{Rs. } \frac{4a}{5}

Selling price of other article

= (490 - a) \times \frac{116}{100} =

Rs.

\left(568.4 - \frac{29a}{25}\right)

Then,

\Rightarrow \frac{4a}{5} = 568.4 - \frac{29a}{25}

\Rightarrow \frac{49a}{25} = 568.4

⇒ a = 290

∴ Cost price of article which sold at loss of 20% is Rs.290.

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