2 Marks Questions

Question 12 Marks

If $6$ oil tankers can be filled by a pipe in $4\frac{1}{2}\text{ hours}$, how long does the pipe take to fill $4$ such oil tankers?

Answer

Time taken by $6$ oil tankers to be filled by a pipe = $4\frac{1}{2}\text{ hours}=\frac{9}{2}\text{ hours}$
Time taken by $1$ oil tankers to be filled by a pipe = $\frac{\frac{9}{2}}{6}\text{ hours}$
Hence, the time taken by $4$ oil tankers to be filled by a pipe $\frac{9}{12}\times4\ \text{hours}= 3\ \text{hours}$

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Question 22 Marks

If the sales tax on a purchase wirth $Rs. 60$ is $Rs. 4.20$. What will be the sales tax on the purchase worth of $Rs. 150$?

Answer

Sales tax on the purchase worth of $Rs. 60 = Rs. 4.20$
Sales tax on the purchase worth of $Rs. 1$ $=\text{Rs.}\frac{4.20}{60}$
Sales tax on the purchase worth of $Rs. 150$ $=\text{Rs.}\frac{4.20}{60}\times150=\text{Rs. }10.50$

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Question 32 Marks

The yield of wheat from $6$ hectares is $280$ quintals. Find the number of hectares required for a yield of $225$ quIntals.

Answer

Number of hectares required for a yield of $280$ quintals = $6$ hectares Number of hectares required for a yield of $1$ quintals $=\frac{6}{280}\text{ hectares}$
Hence, The number of hectares required for a yield of $225$ quintals $=\frac{6}{280}\times225\text{ hectares}=4\Big(\frac{23}{28}\Big)\text{ hectares}$

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Question 42 Marks

A rail journey of $75\ km$ costs $Rs. 215$. How much will a journey of $120\ km$ cost?

Answer

Cost of a rail journey of $75km$ $= Rs. 215$
Cost of a rail journey of $1km$ $=\text{Rs.}\frac{215}{75}$
Cost of a rail journey of $120km$ $=\text{Rs.}\frac{215}{75}\times120=\text{Rs. }344$

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Question 52 Marks

A car can cover a distance of $522\ km$ on $36$ litres of petrol. How far can it travel on $14$ litres of petrol?

Answer

Number of kilometers a car can cover by using $36$ liters $= 522\ km$
Number of kilometers a car can cover by using $1$ liter $=\frac{522}{36}\text{km}$
Hence, the number of kilometers a car can cover by using $14$ liters $=\Big(\frac{522}{36}\times14\Big)=203\text{km}$

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Question 62 Marks

The cost of $40$ metres of cloth is $Rs. 200$. Find the cost of $50$ metres of cloth.

Answer

Cost of $40$ meters of cloth $= Rs. 320$
Cost of $1$ meters of cloth $=\text{Rs.}\frac{200}{40} $
Therefore, the cost of $50$ cloth $=\text{Rs.}\Big(\frac{200}{40}\times50\Big)=\text{Rs.}\ 250 $

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Question 72 Marks

Travelling $900\ km$ by rail costs $Rs. 280$. What would be the fare for a journey of $360\ km$ when a person travels by the same class?

Answer

Cost of travelling $900\ km$ by rail $= Rs. 280$
Cost of travelling $1\ km$ by rail $=\text{Rs.}\Big(\frac{280}{900}\Big)$
Hence, Cost of travelling $360\ km$ by rail $=\text{Rs.}\Big(\frac{280}{900}\times360\Big)=\text{Rs.}\ 112$

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Question 82 Marks

$20$ chocolates cost $Rs. 320$. Find the cost of $35$ such chocolates.

Answer

Cost of $20$ chocolates $= Rs. 320$
Cost of $1$ chocolate $=\text{Rs.}\frac{320}{20} $
Therefore, the cost of $35$ chocolates $=\text{Rs.}\Big(\frac{320}{20}\times35\Big)=\text{Rs.}\ 560 $

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Question 92 Marks

The cost of $32$ tables is $Rs. 23520$. Find the number of such tables that can be purchased for $Rs. 51450$.

Answer

Number of tables bought for $Rs. 23520 = 32$
Number of tables bought for $Rs. 1$ $=\frac{32}{23520}$
Number of tables bought for $Rs. 51450$
$=\Big(\frac{32}{23520}\Big)\times51450=70$

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Question 102 Marks

$\frac{3}{4}$ of the salary per month is $Rs. 600$. What is the salary per month?

Answer

Let the salary be $'x'.$ Given, $\frac{3}{4}$ of the salary per month is $Rs. 600$
$\Rightarrow\frac{3}{4}\times\text{x}=\text{Rs. }600$
$\Rightarrow\text{x}=\text{Rs. }600\times\frac{4}{3}$
$\Rightarrow\text{x}=\text{Rs. }800$
Therefore, the salary per month is $Rs. 800$.

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