Classification of computer by cost
Answers
Explanation:
Amita bought hair dryer for Rs 900 and sold it at a gain of 10% . She sold another hair dryer at 5% loss which she bought for Rs 1200. On the whole transaction she has a
Solution
1st hair dryer
CP = ₹900
Gain%(r) = 10%
SP = ?
Gain = ??
\bf{SP=\Bigg(1+ \dfrac{r}{100}\Bigg)CP}SP=(1+
100
r
)CP
\sf\implies \: SP=\Bigg(1+ \dfrac{10}{100}\Bigg)900⟹SP=(1+
100
10
)900
\sf\implies\:SP=\Bigg(\dfrac{11}{10}\Bigg)900⟹SP=(
10
11
)900
\sf\implies{SP= \dfrac{11}{10}×900}⟹SP=
10
11
×900
\sf\implies{SP = ₹990}⟹SP=₹990
Gain = SP - CP
Gain = ₹990-₹900
Gain = ₹90
2nd hair dryer
CP = ₹1200
Loss% = 5%
SP = ?
Loss = ??
\bf{SP=\Bigg(1 - \dfrac{r}{100}\Bigg)CP}SP=(1−
100
r
)CP
\sf\implies{SP=\Bigg(1 - \dfrac{5}{100}\Bigg)1200}⟹SP=(1−
100
5
)1200
\sf\implies{SP=\Bigg(\dfrac{19}{20}\Bigg)1200}⟹SP=(
20
19
)1200
\sf\implies{SP= \dfrac{19}{20}×1200}⟹SP=
20
19
×1200
\sf\implies{SP=₹1140}⟹SP=₹1140
Loss = CP - SP
Loss = ₹1200 - ₹1140
Loss = ₹60
On whole transaction
CP = ₹900 + ₹1200 = ₹2100
SP = ₹990 + ₹1140 = ₹2130.
Gain = ₹90 - ₹60
Gain = ₹30.
Gain% = \sf\dfrac{Gain}{CP}×100
CP
Gain
×100
Gain% = \sf\dfrac{30}{2100}×100
2100
30
×100
Gain% = \sf\dfrac{30}{21}\%
21
30
%
Gain% = \sf\dfrac{10}{7}\%
7
10
%
Gain% = 1.42%
Therefore
Gain = ₹30
Gain% = 10/7% or 1.42