Ncert Solutions For Class 6 Maths Ex 12.3

Ncert Solutions For Class 6 Maths Chapter 12 Ex 12.3

Questsion 1:

The price of a 8 m long cloth is Rs.288. Determine the price of 5 m long cloth.

Solution:

Price of 8 m long cloth = Rs.288

Price of 1 m long cloth = \(\frac{288}{8}\) = Rs.36

Therefore, the price of 5 m long cloth = 36 x 5 = Rs.180

Questsion 2:

How much does Laura earn in 30 days if her earnings for 10 days is Rs.2500?

Solution:

Her earning for 10 days = Rs. 2500

Her earning for 1 day = \(\frac{2500}{10}\) = Rs.250

Therefore, her earning in 30 days = 250 x 30 = Rs.7500

 

Questsion 3:

How much mm of rain will fall in one whole week, if it has rained 256 mm in last 4 days?

Solution:

Measure of rainfall in 4 days = 256 mm

Measure of rainfall in I day = \(\frac{256}{4}\) = 64 mm

So, measure of rainfall in 7 days = 64 x 7 = 448 mm

 

Questsion 4:

The price of 6 kg of rice is Rs.36. Determine

(a) the cost of 9 kg of rice.

(b) the quantity of rice that can be purchased for Rs.51.

Solution:

(a) Price of 6 kg rice = Rs.36

Cost of 1kg rice = \(\frac{36}{6}\) = Rs.6

Therefore, the cost of 9 kg rice = 6 x 9 = Rs.54

(b) Rice bought for Rs.36 = 6 kg

Rice bought for Re.1 = \(\frac{6}{36}kg\)

Therefore, rice purchased for Rs.51 = \(\frac{6}{36} \times 51\) = 8.5 kg

 

Questsion 5:

Over last 30 days, the temperature dropped 45 degree Celsius. If the temperature drops at the same rate in the next 10 days, how much is the cumulative temperature drop?

Solution:

Temperature drop in 30 days = 45oC

Temperature drop in one day = \(\frac{45}{30}\) = 1.5oC

Therefore, the temperature drop in next 10 days = 1.5 x 10 = 15oC

So, there will be 15oC drop in the temperature in next 10 days.

Questsion 6:

How much does Deepak have to pay rent for a whole year, if he pays Rs.6000 for 3 months?

Solution:

Rent for 3 months = Rs.6000

Rent for 1 month = \(\frac{6000}{3}\) = Rs.2000

Therefore, rent for 12 months = 2000 x 12 = 24000

She has to pay Rs.24000 for a whole year.

Questsion 7:

5 dozens of apple cost Rs.60. How many apples do you think can you buy with Rs.15?

Solution:

Number of apples bought with Rs.60 = 5 dozens = 12 x 5 dozens = 60

Number of apples bought with Re.1 = \(\frac{60}{60}\) = 1

So, the number of apples that can be bought with Rs.15 = 15 x 1 = 15

!5 apples can be bought with Rs.15

 

Questsion 8:

72 books weigh 9 kg. What would be the weight of 40 books?

Solution:

Weight of 72 books = 9 kg

So, 1 book weight = \(\frac{9}{72} = \frac{1}{8} kg\)

So, 40 books would weight = \(\frac{1}{8} \times 40 = 5 kg\)

Thus, 40 books weight 5 kg.

 

Questsion 9:

To cover a distance of 594 km, a truck requires 108 liters of diesel. How many liters of fuel is required to cover a distance of 1650 km?

Solution:

Diesel needed for 594 km = 108 litres

Diesel needed for 1 km = \(\frac{108}{594} = \frac{2}{11} litre\)

So, the diesel needed for 1650 km = \(\frac{2}{11} \times 1650 = 300\ liters\)

Thus, to cover a distance of 1650 km, 300 liters of fuel is required.

Question 10:

Ramu buys 15 pens for Rs.150 and Manush buys 8 pens for Rs.64. Among both, who bought the pen for cheaper price?

Solution:

Ramu bought 15 pens for Rs.150

Therefore, Cost of 1 pen = \(\frac{150}{15}\) = Rs.15

Manush bought 8 pens for Rs.64

Therefore, price of 1 pen = \(\frac{64}{8}\) = Rs.8

So, Manush got the pens cheaper.

Question 11:

Rahul scored 42 runs in 6 overs and Anuj scored 63 runs in 7 overs. Who scored maximum runs per over?

Solution:

Runs scored by Rahul in 6 overs = 42

Therefore, Rahul’s runs per over = \(\frac{42}{6} = 7\)

Runs scored by Anuj in 7 overs = 63

Therefore, Anuj’s runs per over = \(\frac{63}{7} = 9\)

Obviously, Anuj scored more runs per over than Rahul.