Question

"a man buys two cycles for a total cost of RS 900. by selling one cycle at a loss of 20% and other at a profit of 25%, he makes a profit of rs 90 on the whole .find the c.p of each cycle"

Answer 1

Answer on Question # 42944, Math, Other

A man buys two cycles for a total cost of RS 900. by selling one cycle at a loss of 20% and other at a profit of 25%, he makes a profit of rs 90 on the whole .find the c.p of each cycle

**Solution:**

Let the price of the first cycle is $x$. The price of the second is $y$. A total cost is 900, so

$$x + y = 900$$

First cycle was selling at a loss of 20%:

$$x - 0.2x = 0.8x$$

The second cycle was selling at a profit of 25%:

$$y + 0.25y = 1.25y$$

The profit of RS is 90. So,

$$0.8x + 1.25y = 900 + 90$$

Now we can find the x:

$$0.8x + 1.25(900 - x) = 990$$ $$0.8x + 1125 - 1.25x = 990$$ $$0.45x = 135$$ $$x = 300$$

So,

$$y = 900 - x$$ $$y = 900 - 300 = 600$$

**Answer:**

300 and 600.

www.AssignmentExpert.com