2 Marks Questions

Question 512 Marks

A person sells a watch costing ₹ 750 for ₹ 840. Find his profit or loss per cent.

Answer

$\text {Cost price of watch} =$ ₹ $750$
$\text {Selling price} =$ ₹ $840$
$\because$ Profit $= \text{SP} - \text{CP} =840-750=$ ₹ $90$
$\therefore$ Profit$\%=\frac{\text { Profit }}{\text{CP}} \times 100$
$=\frac{90}{750} \times 100=\frac{900}{75}=12 \%$

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Question 522 Marks

What per cent of ₹ 80 is ₹ 100?

Answer

Let x % of ₹ 80 is ₹ 100.
$\therefore \frac{x}{100} \times 80=100$
$\Rightarrow x=\frac{100 \times 100}{80}=\frac{10000}{80}$ $\Rightarrow x=125 \%$
Hence, 125% of ₹ 80 is ₹ 100.

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Question 532 Marks

Find the whole value/quantities if
(i) 5% of it is 500
(ii) 30% of it is 900 km
(iii) 70% of it is 14 h
(iv) 6% of it is 48 km

Answer

(i) Given, 5% of it is 500.
Let x be the number.
So, 5% of x = 500
$\therefore \frac{5}{100} \times x=500$
$\Rightarrow \quad x=\frac{500 \times 100}{5} \Rightarrow x=10000$
(ii) Given, 30% of it is 900 km.
Let x be the kilometre distance.
So, 30% of x = 900km
$\frac{30}{100} \times x=900$ $\Rightarrow \frac{30 x}{100}=900$
$\Rightarrow \quad 30 x=900 \times 100$
$\Rightarrow \quad x=\frac{900 \times 100}{30}$=$\frac{9000}{3}=3000$
$\Rightarrow \quad x=3000 km$
(iii) Given, 70% of it is 14 h.
Let x be the hours.
So, 70% of x = 14h
$\therefore \quad \frac{70}{100} \times x=14$ $\Rightarrow x=\frac{14}{70} \times 100$
$\Rightarrow x=\frac{14}{7} \times 10=20$ $\Rightarrow x=20 h$
(iv) Given, $6 \%$ of it is 48 km.
Let $x$ be the kilometre distance.
So, $6 \%$ of $x=48 km$
$\therefore \frac{6}{100} \times x=48 \Rightarrow x=\frac{48}{6} \times 100 $
$ \Rightarrow x=8 \times 100=800 $
$ \Rightarrow x=800 km$

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MATHS 2 Marks Questions