Question

David sold a bicycle at a profit of 10% had he sold it for rupees 150 more, the profit would have been 15%. find the cost price of the bicycle

Answer 1

The cost price of bicycle is ₹3000

Step-by-step explanation:

Given:

Let the cost price of bicycle is ₹x.

David sold a bicycle at a profit of 10% had he sold it for rupees 150 more, the profit would have been 15%.

That is written as,

$= > \: (x + \frac{10}{100} x) + 150 = (x + \frac{15}{100} x)$

$= > \: (x + 0.1x) + 150 = (x + 0.15x)$

$= > \: 1.1x + 150 = 1.15x$

$= > \: 1.15x - 1.1x = 150$

$= > \: 0.05x = 150$

$= > \: x = \frac{150 \times 100}{5}$

$= > x = 3000$

The cost price of bicycle is ₹3000.