Question

Rakhee bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.

Answer 1

Hint: Use the fact that loss is equal to selling price subtracted from cost price, i.e. loss= C.P -S.P. Loss % is the amount of loss per 100 units of C.P. Using a unitary method, find the loss % of Rakhee in this whole transaction. Alternatively, use $loss\%=\dfrac{loss}{C.P}\times 100$ to get the loss% earned by Rakhee in this transaction.

Complete step-by-step answer:
We have the cost at which the saree was purchased by Rakhee= C.P = Rs. 1240
The amount for which the saree was sold by Rakhee = S.P = Rs. 1147
Hence the loss from the transaction by Rakhee = C.P -S.P= Rs 1240 -Rs 1147 = Rs. 93
Hence the amount lost by Rakhee in this transaction is equal to Rs. 93
Loss % is defined as the amount of loss suffered per 100 units of cost price.
We have, the loss on Rs 1240 of C.P = 93
Hence, we have
The loss on Re. 1 of C.P $=\dfrac{93}{1240}=\dfrac{3}{40}$
Hence loss per Rs. 100 of C.P $=\dfrac{3}{40}\times 100=7.5$
Hence the loss % of Rakhee = 7.5%

Note: [1] We can directly calculate loss %age using the formula
$loss\%=\dfrac{loss}{C.P}\times 100$
Substituting the values of loss and C.P, we get
$loss\%=\dfrac{93}{1240}\times 100=7.5\%$, which is the same as obtained above.