2 Mark Question

Question 12 Marks

A pond in a field holds 120000 litres of water. It costs Rs 18000 to make such a pond. How many ponds will be required to store 480000 litres of water, and what would be the expense?

Answer

Capacity of 1 pond = 1,20,000 litres
Total quantity of water = 4,80,000 litres
∴ Number of ponds required
$\begin{aligned} & =\frac{\text { Total quantity of water }}{\text { Capacity of one pond }} \\ & =\frac{4,80,000}{1,20,000}=\frac{4,80,000 \div 10,000}{1,20,000 \div 10,000}=\frac{48}{12}=4 \text { ponds }\end{aligned}$
Amount required to make 1 pond = Rs 18,000
∴ Amount required to make 4 ponds = Amount required to make 1 pond x 4
= 18,000 x 4 = Rs 72,000
∴ The number of ponds required to store 4,80,000 litres of water is 4, and the expense incurred in making the ponds is Rs 72,000.

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Question 22 Marks

In an orchard, there are 128 mango trees in 8 rows. If all the rows have an equal number of trees, how many trees would there be in 13 rows?

Answer

Number of mango trees in 8 rows =128
Number of mango trees in 1 row
$=\frac{\text { Number of mango trees in } 8 \text { rows }}{8}=\frac{128}{8}=16$ trees
∴ Number of mango trees in 13 rows = Number of mango trees in 1 row x 13
= 16 x 13 = 208
∴ The number of mango trees in 13 rows are 208.

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Question 32 Marks

At a sugar factory, 5376 kg of sugar can be obtained from 48 tonnes of sugarcane. If Savitatai has grown 50 tonnes of sugarcanes, how much sugar will it yield?

Answer

Sugar obtained from 48 tonnes of sugarcane = 5376 kg
∴ Sugar obtained from 48 tonnes of sugarcane
$\begin{aligned} & =\frac{\text { Sugar obtained from } 48 \text { tonnes of sugarcane }}{48} \\ & =\frac{5376}{48}=\frac{5376 \div 16}{48 \div 16}=\frac{336}{3}=112 kg \end{aligned}$
∴ Sugar obtained from 50 tonnes of sugarcane = Sugar obtained from 1 tonne of sugarcane x 50
= 112 x 50 = 5600 kg
∴ 50 tonnes of sugarcane will yield 5600 kg of sugar.

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Question 42 Marks

A tractor uses up 12 litres of diesel while ploughing 3 acres of land. How much diesel will be needed to plough 19 acres of land?

Answer

Diesel required to plough 3 acres of land =12 litres
∴ Diesel required to plough 1 acre of land
$=\frac{\text { Diesel required to plough } 3 \text { acres of land }}{3}=\frac{12}{3}$
= 4 liters
∴ Diesel required to plough 19 acres of land = Diesel required to plough 1 acre of land x 19
= 4 x 19 = 76 litres
∴ Diesel needed to plough 19 acres of land is 76 litres.

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Question 52 Marks

A car travelling at a uniform speed covers a distance of 165 km in 3 hours. At that same speed,
a. How long will it take to cover a distance of 330 km?
b. How far will it travel in 8 hours?

Answer

Distance covered in 3 hours = 165 km
Distance covered in 1 hour
$=\frac{\text { Distance covered in } 3 \text { hours }}{3}=\frac{165}{3}$
= 55 km
a. Time required to covered a distance of 330 km
$=\frac{\text { Total distance }}{\text { Distance covered in 1 hour }}=\frac{330}{55}$
= 6 hours
∴ The time required to cover a distance of 330 km is 6 hours.
b. Distance traveled in 8 hours = Distance covered in 1 hour x 8
= 55 x 8 = 440 km
∴ The distance traveled in 8 hours is 440 km.

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Question 62 Marks

The weight of 30 boxes is 6 kg. What is the weight of 1080 such boxes?

Answer

Weight of 30 boxes = 6 kg
∴ Weight of 1 box
$=\frac{\text { Weight of } 30 \text { boxes }}{30}=\frac{6}{30}=\frac{6 \div 6}{30 \div 6}=\frac{1}{5} kg$
∴ Weight of 1080 boxes = Weight of 1 box x 1080
$=\frac{1}{5} \times 1080=\frac{1 \times 1080}{5 \times 1}=216 kg$
∴ The weight of 1080 boxes is 216 kg.

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Question 72 Marks

If 14 chairs cost Rs 5992, how much will have to be paid for 12 chairs?

Answer

Cost of 14 chairs = Rs 5992
∴ Cost of 1 chairs
$=\frac{\text { Cost of } 14 \text { chairs }}{14}=\frac{5992}{14}$
= Rs 428
∴ Cost of 12 chairs = Cost of 1 chair x 12
= 428 x 12 = Rs 5136
∴ The amount to be paid for 12 chairs is Rs 5136.

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Question 82 Marks

Find the cost of 8 kg of rice, if the cost of 10 kg is Rs 325.

Answer

Cost of 10 kg rice = Rs 325
∴ Cost of 10 kg rice
$=\frac{\text { Cost of } 10 kg \text { rice }}{10}=\frac{325}{10}=\frac{325 \div 5}{10 \div 5}=₹ \frac{65}{2}$
Cost of 8 kg rice = Cost of 1 kg rice x 8
$=\frac{65 \times 8}{2}=\frac{520}{2}=₹ 260$
∴ The cost of 8 kg rice is Rs 260.

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Question 92 Marks

If 20 metres of cloth costs Rs 3600, find the cost of 16 m of cloth.

Answer

Cost of 20 metres of cloth = Rs 3600
∴ Cost of 1 metre of cloth $=\frac{\text { cost of } 20 \text { metres of cloth }}{20}=\frac{3600}{20}$
= Rs 180
∴ Cost of 16 metres of cloth = Cost of 1 metre of a cloth × 16
= 180 x 16 = Rs 2880
∴ The cost of 16 metres of cloth is Rs 2880.

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Question 102 Marks

30 cricket players and 20 kho-kho players are training on a field. What is the ratio of cricket players to the total number of players?

Answer

Total number of players = Cricket players + Kho-kho players
= 30 + 20 = 50
Ratio of cricket players to the total number of players
$\begin{aligned} & =\frac{\text { Number of cricket players }}{\text { Total number of players }} \\ & =\frac{30}{50}=\frac{30 \div 10}{50 \div 10}=\frac{3}{5}\end{aligned}$
∴ The ratio of cricket players to the total number of players is $\frac{3}{5}$

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