Profit and loss

[R.k91]

a man sold a cycle for Rs.250 at a profit of 25 percent. What would have bee gained or lost percent, if It had been sold for Rs.210?

[kartikshah]

Let cost price be Rs 100
Profit = 25%
Profit in Rupees will be Rs 25
Therefore selling price is Rs 125.

When CP is Rs 100, SP is Rs 125
What is CP ? when SP is Rs 250

= ( 250 * 100 ) / 125
= Rs 200/-

Therefore if this cycle had been sold for Rs 210, the profit would have been Rs 10/-
Profit % = (10/200) * 100 = 5%

Hope this helps!

[Brent@GMATPrepNow]

a man sold a cycle for Rs.250 at a profit of 25 percent. What would have bee gained or lost percent, if It had been sold for Rs.210?

Here's another approach:

Let X be the wholesale price of the cycle.
If the profit is 25%, then the retail price of the cycle was X + 0.25X (aka 1.25X)
We're told that the retail price is Rs.250, so we can write the equation 1.25X = 250
Divide both sides of the equation by 1.25 to get X = Rs.200
So, if the cycle sold for Rs.210, the profit would be Rs.10
This represents a 5% profit, since 10/200 = 5/100 = 5%

Cheers,
Brent