Question

A cycle is sold for rs-800 at a loss of 20 percent .By how much should it be sold to gain 10 percent ?

Answer 1

Answer:

Rs.1100

Step-by-step explanation:

Here SP = Rs. 800

Loss = 20%

Let CP was x

And we know that

CP - Loss = SP

∴ x - 20% of x = 800

x - (20/100)x = 800

x - x/5 = 800

4x/5 = 800

x = (800 × 5)/4

x = 1000

∴ CP of the cycle is Rs.1000

Now to make a profit of 10%

SP = CP + 10% of CP

   = 1000 + (10/100)×1000

   = 1000 + 100

   = 1100

∴ To make a profit of 10% the cycle should be sold for Rs.1100

Step-by-step explanation:

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Answer 2

Given : Selling Price (SP) =880 Rs. and Loss Percentage =20%

Let's assume cost price (CP) =x Rs.

We know that, 

$sp = cp - \frac{cp \times loss \: percentage}{100}$

$= 800 = x - \frac{x - 20}{100} = \frac{4x}{5}$

$= x = \frac{880 \times 5}{4} = 1100$

∴SP=1100 Rs

Now, for a gain of 10%

$sp = cp + \frac{cp \times profit \: percentage}{100} = 1100 + \frac{1100 \times 10}{100} = 1210rs$