Question

Mera loses one-eleventh of the cost when she sold a chair for rupees 1000. find the cost price of the chaire

Answer 1

Let the CP be x.
Loss = 1/11 of x = x/11.
SP will be CP -loss = x-x/11 = 10x/11
As per the question,
10x/11 = 1000
x= 1000*11/10 = 1100.
So, cost price of chair = Rs 1100.

Answer 2

Let the cost price of the chair be Rs. x
Selling Price= Rs. 1000
Loss =
$\frac{1}{11} \times x = \frac{x}{11}$
Therefore,
$x - \frac{x}{11} = 1000$
Or,
$\frac{11x - x}{11} = 1000$
Or,
$\frac{10x}{11} = 1000$
Or,
$x = \frac{1000 \times 11}{10}$
Or,
$x = 1100$
Therefore, the Cost Price of the chair was Rs. 1100