Question

If the selling price of 16 watches is equal to the cost price of 17 watches find the gain percent

Answer 1

SOLUTION

GIVEN

The selling price of 16 watches is equal to the cost price of 17 watches

TO DETERMINE

The gain percentage

EVALUATION

Let price of each watch = x

So cost price = 16x

Selling price = 17x

Gain amount = 17x - 16x = x

So the required gain percentage

$\displaystyle \sf{ = \frac{x}{16x} \times 100 \: \%}$

$\displaystyle \sf{ = \frac{100}{16} \: \%}$

$\displaystyle \sf{ = \frac{25}{4} \: \%}$

$\displaystyle \sf{ = 6\frac{1}{4} \: \%}$

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Answer 2

Question :-

If the selling price of 16 watches is equal to the cost price of 17 watches, find the gain percent.

Given :-

SP of 16 watches = CP of 17 watches.

To find :-

Gain percent .

Solution :-

Let price of each watch = x

Cost price( CP ) = 16x

Selling price( SP ) = 17x

Gain amount = 17x - 16x = x

So the gain percentage is,

$\bf\implies{ \frac{x}{16x} \times 100 \: \%}$

$\bf\implies{ \frac{100}{16} \: \%}$

$\bf\implies{ \frac{25}{4} \: \%}$

$\bf\implies{ 6\frac{1}{4} \: \%}$

Final Answer :-

Gain percent of watches are $\sf{6\frac{1}{4} \: \%}$