[2 Mark Question Answer]

Question 12 Marks

By selling a scooter for Rs. 9,200, a man gains 15%. Find the cost price of the scooter.

Answer

S.P. of the scooter $=$ Rs. 9200
Gain $=15 \%$
$\therefore$ C.P. $=\frac{\text { S.P. } \times 100}{100+\text { gain } \%}$
$=\frac{9200 \times 100}{100+15}$
$=\frac{9200 \times 100}{115}=8000$
the cost price of the scooter is Rs 8000

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Question 22 Marks

Find the cost price, if: S.P. = Re. 1 and loss = 5 p.

Answer

S.P. = Re. 1 and loss = 5 p.
∴ C.P. = S.P. + Loss
= Rs. 1 + 5 p
= Rs 1.05

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Question 32 Marks

Find the cost price, if: S.P. = Rs. 200 and loss = Rs. 50

Answer

S.P. = Rs. 200
loss = Rs. 50
∴ C.P. = S.P. + Loss
= Rs. 200 + Rs. 50 = Rs. 250

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Question 42 Marks

Find the cost price, if: S.P. = Rs. 340 and gain = Rs. 20

Answer

S.P. = Rs. 340 and gain = Rs. 20
∴ C.P. = S.P. - Gain
= Rs. 340 - Rs. 20 = Rs. 320

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Question 52 Marks

Find the cost price, if: S.P. = Rs. 22 and loss = 12%

Answer

S.P. $=$ Rs. 22 and loss $=12 \%$
$\begin{aligned} & \therefore \text { C.P. }=\frac{\text { S.P. } \times 100}{100-\text { loss } \%} \\ & =\frac{22 \times 100}{100-12} \\ & =\frac{22 \times 100}{88}=\text { Rs. } 25\end{aligned}$

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Question 62 Marks

Find the cost price, if: S.P. = Rs. 21 and gain = 5%

Answer

S.P. $=$ Rs. 21 and gain $=5 \%$
$ \begin{aligned} & \therefore \text { C.P. }=\frac{\text { S.P. } \times 100}{100+\text { gain } \%} \\ & =\frac{21 \times 100}{100+5} \\ & =\frac{21 \times 100}{105}=\text { Rs. } 20 \end{aligned} $

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Question 72 Marks

Find the gain or loss percent, if C.P. = Rs. 5 and gain = 60 P

Answer

$\begin{aligned} & \text { C.P. }=\text { Rs. } 5 \text { and gain }=60 \mathrm{P} \\ & \therefore \text { S.P. }=\text { C.P. + gain } \\ & =\text { Rs. } 5+\text { Rs. } 60 \text { P }=\text { Rs. } 5.60 \\ & \text { Gain } \%=\frac{\text { gain } \times 100}{\text { C.P }}=\frac{0.60 \times 100}{5}=\frac{60 \times 100}{100 \times 5}=12 \%\end{aligned}$

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Question 82 Marks

Find the gain or loss percent, if S.P. = Rs. 12 and profit = Rs. 4

Answer

S.P. = Rs. 12 and profit = Rs. 4
$ \begin{aligned} & \therefore \text { C.P. }=\text { S.P. }- \text { gain } \\ & =\text { Rs. } 12-\text { Rs. } 4=\text { Rs. } 8 \\ & \text { Gain } \%=\frac{\text { gain } \times 100}{\text { S.P }}=\frac{4 \times 100}{8}=50 \% \end{aligned} $

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Question 92 Marks

Find the gain or loss percent, if S.P. = Rs. 500 and loss : = Rs. 100

Answer

$\begin{aligned} & \text { S.P. }=\text { Rs. } 500 \text { and loss : }=\text { Rs. } 100 \\ & \therefore \text { C.P. }=\text { S.P. }+ \text { loss } \\ & =\text { Rs. } 500+\text { Rs. } 100=\text { Rs. } 600 \\ & \text { Loss } \%=\frac{\text { Loss } \times 100}{\text { C.P }}=\frac{100 \times 100}{600}=\frac{50}{3}=16 \frac{2}{3} \%\end{aligned}$

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Question 102 Marks

Find the gain or loss percent, if CP. = Rs. 216 and loss = Rs. 72

Answer

$\begin{aligned} & \text { CP. }=\text { Rs. } 216 \text { and loss }=\text { Rs. } 72 \\ & \therefore \text { S.P. }=\text { C.P. }- \text { loss } \\ & =\text { Rs. } 216-\text { Rs. } 72=\text { Rs. } 144 \\ & \text { Loss } \%=\frac{\text { Loss } \times 100}{\text { C.P }}=\frac{72 \times 100}{216}=\frac{100}{3}=33 \frac{1}{3} \%\end{aligned}$

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Question 112 Marks

Find the gain or loss percent, if C.P. = Rs. 550 and gain = Rs. 22

Answer

$\begin{aligned} & \text { C.P. }=\text { Rs. } 550 \text { and gain }=\text { Rs. } 22 \\ & \therefore \text { S.P. }=\text { C.P. }+ \text { gain } \\ & =\text { Rs. } 550+\text { Rs. } 22=\text { Rs. } 572 \\ & \text { Gain } \%=\frac{\text { Gain } \times 100}{\text { C.P }}=\frac{22 \times 100}{550}=4 \%\end{aligned}$

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Question 122 Marks

Find the gain or loss percent, if C.P. = Rs. 450 and S.P. = Rs. 400

Answer

$\begin{aligned} & \text { C.P. }=\text { Rs. } 450 \text { and S.P. }=\text { Rs. } 400 \\ & \therefore \text { Loss }=\text { C.P. }- \text { S.P. } \\ & =\text { Rs. } 450-\text { Rs. } 400=\text { Rs. } 50 \\ & \text { Loss } \%=\frac{\text { Loss } \times 100}{\text { C.P }}=\frac{50 \times 100}{450}=\frac{100}{9}=11 \frac{1}{9} \%\end{aligned}$

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Question 132 Marks

Find the gain or loss percent, if C.P. = Rs. 200 and S.P.: = Rs. 224

Answer

$\begin{aligned} & \text { C.P. }=\text { Rs. } 200 \text { and S.P. }=\text { Rs. } 224 \\ & \therefore \text { Gain }=\text { S.P. }- \text { C.P. } \\ & =\text { Rs. } 224-\text { Rs. } 200=\text { Rs. } 24 \\ & \text { Gain } \%=\frac{\text { gain } \times 100}{\text { C.P }}=\frac{24 \times 100}{200}=12 \%\end{aligned}$

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