Question

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Answer 1

Answer:

Question

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 = ??

$\bf{SP=\Bigg(1+ \dfrac{r}{100}\Bigg)CP}$

$\sf\implies \: SP=\Bigg(1+ \dfrac{10}{100}\Bigg)900$

$\sf\implies\:SP=\Bigg(\dfrac{11}{10}\Bigg)900$

$\sf\implies{SP= \dfrac{11}{10}×900}$

$\sf\implies{SP = ₹990}$

Gain = SP - CP

Gain = ₹990-₹900

Gain = ₹90

2nd hair dryer

CP = ₹1200

Loss% = 5%

SP = ?

Loss = ??

$\bf{SP=\Bigg(1 - \dfrac{r}{100}\Bigg)CP}$

$\sf\implies{SP=\Bigg(1 - \dfrac{5}{100}\Bigg)1200}$

$\sf\implies{SP=\Bigg(\dfrac{19}{20}\Bigg)1200}$

$\sf\implies{SP= \dfrac{19}{20}×1200}$

$\sf\implies{SP=₹1140}$

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% = $\sf\dfrac{Gain}{CP}×100$

Gain% = $\sf\dfrac{30}{2100}×100$

Gain% = $\sf\dfrac{30}{21}\%$

Gain% = $\sf\dfrac{10}{7}\%$

Gain% = 1.42%

Therefore

Gain = ₹30

Gain% = 10/7% or 1.42%.

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Answer 2

Step-by-step explanation:

1st hair dryer

CP = ₹900

Gain%(r) = 10%

SP = ?

Gain = ??

$</p><p>\bf{SP=\Bigg(1+ \dfrac{r}{100}\Bigg)CP}SP=(1+ </p><p>100</p><p>r</p><p> </p><p> )CP</p><p></p><p>\sf\implies \: SP=\Bigg(1+ \dfrac{10}{100}\Bigg)900⟹SP=(1+ </p><p>100</p><p>10</p><p> </p><p> )900</p><p></p><p>\sf\implies\:SP=\Bigg(\dfrac{11}{10}\Bigg)900⟹SP=( </p><p>10</p><p>11</p><p> </p><p> )900</p><p></p><p>\sf\implies{SP= \dfrac{11}{10}×900}⟹SP= </p><p>10</p><p>11</p><p> </p><p> ×900$

$\sf\implies{SP = ₹990}⟹SP=₹990</p><p>$

Gain = SP - CP

Gain = ₹990-₹900

Gain = ₹90

2nd hair dryer

CP = ₹1200

Loss% = 5%

SP = ?

Loss = ??

$\sf\implies{SP=\Bigg(\dfrac{19}{20}\Bigg)1200}⟹SP=( </p><p>20</p><p>19</p><p> </p><p> )1200</p><p>$

\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%.

Aryan bhai really I miss you yarr

How are you ??