Question

i sold my bicycle for Rs.1600 ans lost 20%. i bought the cycle for how much?

Answer 1

Since the bicycle was sold at ₹ 1600,

Selling price of the bicycle ( denoted by SP ) = ₹ 1600

Also, it is given that,

Percentage of loss/ Loss percentage = 20 %

Let the cost price be ₹ x.

We know that loss is incurred on cost price so,

Loss = ( Loss percentage * Cost Price )
Loss = ( 20 % * x )
Loss = 20/100 * x
Loss = x/5

We know that,
CP = Loss + SP
x = ( x / 5 ) + 1600
x - ( x / 5 ) = 1600
4x / 5 = 1600
4x = 1600 * 5
x = ( 1600 * 5 ) / 4
x = 400 * 5
x = ₹ 2000

Hence,

Cost price of the bicycle i.e. The bicycle was bought for ₹ 2000.

Answer 2

Answer:

Rs. 2000

Step-by-step explanation:

Let the original cost price be Rs. x

⇒ Loss % = ( Loss / CP ) × 100

Loss = CP - SP

Substituting the terms we get,

⇒ 20% = ( x - 1600 / x ) × 100

⇒ 20 × x = ( x - 1600 ) 100

⇒ 20x = 100x - 160000

⇒ 160000 = 100x - 20x

⇒ 160000 = 80x

⇒ x = 160000 / 80

⇒ x = Rs. 2000

Hence the original cost price is Rs. 2000