Jaya sold two sarees for₹2185 each. on one saree she lost 5%. Find her gain loss perc6 on the whole transaction.
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Given,
S.P (1 saree) = Rs. 2185
Case I:
S.P of one saree = 2185
loss = 5%
\begin{lgathered}C.P = \frac{100}{100-loss\% } \times S.P \\C.P = \frac{100}{100-5} \times 2185\\C.P = 2300\end{lgathered}
C.P=
100−loss%
100
×S.P
C.P=
100−5
100
×2185
C.P=2300
Case II:
S.P = 2185
gain = 15%
\begin{lgathered}C.P = \frac{100}{100+profit \%} \times S.P\\ C.P = \frac{100}{100+15} \times 2185\\C.P = 1900\end{lgathered}
C.P=
100+profit%
100
×S.P
C.P=
100+15
100
×2185
C.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 %
Hence, Jaya's gain percentage on the whole transaction is 4.04%
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