Question

Luxmi sold two sarees for 2185 each. On one she lost 5%, while on the other she gained
15%. Find her gain or loss per cent in the whole transaction.
​

Answer 1

Step-by-step explanation:

Given,

S.P (1 saree) = Rs. 2185

Case I:

S.P of one saree = 2185

loss = 5%

\begin{gathered}C.P = \frac{100}{100-loss\% } \times S.P \\C.P = \frac{100}{100-5} \times 2185\\C.P = 2300\end{gathered}C.P=100−loss%100×S.PC.P=100−5100×2185C.P=2300

Case II:

S.P = 2185

gain = 15%

\begin{gathered}C.P = \frac{100}{100+profit \%} \times S.P\\ C.P = \frac{100}{100+15} \times 2185\\C.P = 1900\end{gathered}C.P=100+profit%100×S.PC.P=100+15100×2185C.P=1900

Now,

Total S.P = 4370

Total C.P = 1900 + 2300

               = 4200

Gain = S.P - C.P

        = 4370-4200

        = 170

Gain % = gain/C.P x 100

             = 170/4200 x 100

             = 4.04 %