Solutions For All Chapters Maths Class 6
Ex 12.3 Class 6 Maths Question 1.
If the cost of 7 m of cloth is ₹ 1470, find the cost of 5 m of cloth.
Solution:
Using unitary method, we have cost of 7 m of cloth = ₹1470
Cost of 1 m of cloth = ₹ 1470/7
Cost of 5 m of cloth = ₹(1470/7 x 5) = ₹(210 x 5)
= ₹ 1050
Thus, the required cost = ₹ 1050
Ex 12.3 Class 6 Maths Question 2.
Ekta earns ₹ 3000 in 10 days. How much she will earn in 30 days?
Solution:
Money earned by Ekta in 10 days = ₹ 3000
Money earned in one day by her = 3000 / 10
= ₹ 300
So, money earned by her in 30 days = 300 × 30
= ₹ 9000
Ex 12.3 Class 6 Maths Question 3.
If it has rained 276 mm in the last 3 days, how many centimeters of rain will fall in one full week (7 days)? Assume that the rain continues to fall at the same rate.
Solution:
In last 3 days the rain falls = 276 mm .
In 1 day the rain falls = 276/3 mm.
in 7 days the rain will fall = 276/3 x 7 mm.
= 92 x 7 mm = 644 mm or 64.4 cm [∵ 1 cm = 10 mm]
Thus, the amount of rain fall in week = 64.4 cm.
Ex 12.3 Class 6 Maths Question 4.
Cost of 5 kg of wheat is ₹ 91.50.
(a) What will be the cost of 8 kg of wheat?
(b) What quantity of wheat can be purchased in ₹ 183?
Solutions:
(a) Cost of 5 kg wheat = ₹ 91.50.
Cost of 1 kg wheat = 91.50 / 5
= ₹ 18.3
So, the cost of 8 kg wheat = 18.3 × 8
= ₹ 146.40
(b) Wheat purchased in ₹ 91.50 = 5 kg
Wheat purchased in ₹ 1 = 5 / 91.50 kg
So, wheat purchased in ₹ 183 = (5 / 91.50) × 183
= 10 kg
Ex 12.3 Class 6 Maths Question 5.
The temperature dropped 15 degree Celsius in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?
Solution:
In last 3,0 days the quantity of drop in temperature = 15 degree Celsius
In last 1 day the quantity of drop in temperature = 15/30 degree Celsius
In last 10 days the quantity of drop is temperature = 15/30 x 10 degree Celsius
= 5 degree Celsius
Thus the required drop in temperature in last 10 days = 5 degree Celsius.
Ex 12.3 Class 6 Maths Question 6.
Shaina pays ₹ 15000 as rent for 3 months. How much does she has to pay for a whole year, if the rent per month remains same?
Solution:
Rent paid by Shaina in 3 months = ₹ 15000
Rent for 1 month = 15000 / 3
= ₹ 5000
So, rent for 12 months, i.e. 1 year = 5000 × 12
= ₹ 60,000
∴ Rent paid by Shaina in 1 year is ₹ 60,000
Ex 12.3 Class 6 Maths Question 7.
Cost of 4 dozen bananas is ₹ 180. How many bananas can be purchased for ₹ 90?
Solution:
Number of bananas bought in₹ 180 = 4 dozens
= 4 × 12
= 48 bananas
Number of bananas bought in ₹ 1 = 48 / 180
So, number of bananas bought in ₹ 90 = (48 / 180) × 90
= 24 bananas
∴ 24 bananas can be purchased for ₹ 90
Ex 12.3 Class 6 Maths Question 8.
The weight of 72 books is 9 kg. What is the weight of 40 such books?
Solution:
Weight of 72 books = 9 kg
Weight of 1 books = 9/72 kg
Weight of 40 books = 9/72 x 40 kg = 5 kg
Hence, the required weight = 5 kg.
Ex 12.3 Class 6 Maths Question 9.
A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
Solution:
To cover 594 km, the amount of diesel required = 108 litres.
To cover 1 km, the amount of diesel will be , required =
108/594 litres
To cover 1650 km, the amount of diesel required = 108×1650/594 litres = 300 litres
Thus, the required amount of diesel = 300 litres.
Ex 12.3 Class 6 Maths Question 10.
Raju purchases 10 pens for ₹150 and Manish buys 7 pens for ₹ 84. Can you say who got the pens cheaper?
Solution:
For Raju,
Cost of 10 pen = ₹150
Cost of 1 pen = ₹ 150/10 = ₹ 15
For Manish,
Cost of 7 pens = ₹ 84
Cost of 1 pen = ₹ 84/7 = ₹12
∴ ₹ 12 < ₹ 15 Thus Manish got the pens cheaper than Raju.
Ex 12.3 Class 6 Maths Question 11.
Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over?
Solution:
Number of runs made by Anish in 6 overs = 42
Number of runs made by him in 1 over = 42/6 = 7 runs.
Number of runs made by Anup in 7 overs = 63
Number of runs made by him in 1 over = 63/7 = 9 runs.
∴ 9 runs > 7 runs.
Thus, Anup has made more runs.
Leave a Reply