Question

By selling 144 hens, Swarn lost the SP of 6 hens. Find her loss percent.

Answer 1

Hint: Here we will proceed by finding the C.P. by using the formula C.P.=S.P. + Loss. Then we will calculate the Loss percentage by using the formula Loss Percentage = $\dfrac{{loss}}{{Cost{\text{ Price}}}} \times 100$%.

Complete step-by-step answer:
It is given that by selling 144 hens she lost the SP of 6 hens.
Let SP of 144 hens = 144
Also we know,
Loss = SP of 6 hens.
So, SP of 6 hens = Rs. 6
Thus, we can say loss = Rs 6
Also, we know that
CP = SP + loss= 144+6= 150
We know that, loss percentage will be obtained from,
$
  loss\% = \dfrac{{loss}}{{CP}} \times 100 \\
   = \dfrac{6}{{150}} \times 100 = 4\% \\
 $
Therefore, the loss percentage obtained by selling 144 hens will be 4%.

Note: Here in this question we will first solve the C.P. and then we used them in the condition given in the question. Thus after solving the equation we will get our required answer. Also we need to find loss to find loss percent.