Question

Shova sold a pen at a profit of 16%. If she had sold it at a profit of 18%. She would have
Rs 32 more. Find the cost price of the pen.

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Answer 1

$\underline{\mathbf{\huge{Question}}}$

Shova sold a pen at a profit of 16%. If she had sold it at a profit of 18%. She would have
Rs 32 more. Find the cost price of the pen.


$\underline{\mathbf{\huge{Answer}}}$​


Let CP of Pen=X

If Profit=16%

SP=X+(x×16%)

=X+(x×16/100)

=X+4x/25

=25x+4x/25. ( Lcm=25)

=29x/25

SP at 16% profit=29X/25

If Profit=18%

SP at 18% profit=X+(x×18%)

=X+(x×18/100)

=X+9x/50

=50x+9x/50. (lcm=50)

=59x/50

SP at 18% Profit=59x/50

If Shova sell pen at Profit of 18% percent she will get ₹32 more than Profit at 16%

A/Q

SP at 16% Profit+32=SP at 18% Profit

$\frac{29x}{25} + 32 = \frac{59x}{50} \\ \\ 32 = \frac{59x}{50} - \frac{29x}{25} \\ \\ 32 = \frac{59x - 29x \times 2}{50} \\ \\ 32 = \frac{59x - 58x}{50} \\ \\ 32 = \frac{x}{50} \\ \\ 32 \times 50 = x \\ \\160 0 = x$

X is CP=₹1600

$\boxed{\mathbf{\huge{CP=Rs.1600}}}$