Question

Harish sold a bicycle at 8% gain.Had it been sold for Rs.75 more, the gain would have been 14%.Find the cost price of the bicycle.

Answer 1

Let the cost price of bicycle be x.
Since, So of the bicycle at the again of 8%=
x + 8% of x
$= \frac{108}{100}x$
Now,Sp of bicycle at the gain of 14%=
x + 14% of x
$= \frac{114}{100} x$
A/q
$\frac{114}{100}x - \frac{108}{100} x = 75 \\ \frac{114 - 108x}{100} = 75 \\ 6x = 75 \times 100 \\ x = \frac{75 \times 100}{6}$
$x = 1250$


Hence,the Cp of the bicycle is 1250

Answer 2

Let the cost price of the bicycle be " Rs X "
Profit = 8 %

= x × 8/100

= 2x/25

Selling price = cost price + profit

= x + 2x /25

= 25x + 2x/25

= 27x/25

So the selling price is " Rs 27x/25 "

Of it had been sold for Rs 75 more the gain would have been 14 %

Selling price = 27x/25 + 75

But

Profit = 14%

= x × 14/100

= 7x/50

Selling price = cost price + profit

= x + 7x/50

= 57x/50

So

27x/25 + 75 = 57x/50

》57x/50 - 27x/25 = 75

》57x - 54x/50 = 75

》3x/50 = 75

》3x = 75 × 50

》x = 75 × 50/3

》x = 25 × 50

》x = 1250

So the cost price of the bicycle is " Rs 1250 "