Question

A cycle is sold for rupee 800 at a loss of 20%. By how much should it be sold to gain 10%

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

Answer 2

Answer:

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 x 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)x1000

= 1000 + 100

= 1100

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