Question

by selling a cap for rs 29.75, a man gains 6.25%.What will be the CP of the cap?

Answer 1

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Answer 2

Cost price of cap is ₹28.

Given:

• Selling price of cap ₹29.75 .
• Profit 6.25%.

To find:

• Find the cost price of the cap.

Solution:

Formula to be used:

$\boxed{\bf Profit \: \%=\frac{SP-CP}{CP} \times 100}$

Put the given values in the formula,

Let Cost price of cap be ₹x.

$6.25 = \frac{29.75 - x}{x} \times 100$

$6.25x = 2975 - 100x$

$6.25x + 100x = 2975$

$106.25x = 2975$

$x = \frac{2975}{106 .25}$

$x = \frac{297500}{10625}$

cancel the common factors from numerator and denominator.

$\bf x = 28$

Thus,

Cost price of cap is ₹28.

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