# RS Aggarwal Solutions for Class 8 Chapter 1 - Rational Numbers Exercise 1G

Students can refer and download RS Aggarwal Solutions for Class 8 Maths Chapter 1- Exercise 1G, Rational Numbers from the links provided below. BYJUâ€™S expert team has solved the RS Aggarwal Solutions for a better understanding of the concepts and also helps in brushing up your mathematical skills. By practicing the solutions many times helps in securing high marks. In Exercise 1G of RS Aggarwal Class 8 Maths, we shall study the Word problems.

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1. From a rope 11m long, two pieces of lengths 2 3/5m and 3 3/10m are cut off. What is the length of the remaining rope?

Solution: we know that the given details are

The length of the rope =11m

Length of the 1st piece = 2 3/5m

Length of the 2nd piece = 3 3/10m

Total length of the pieces = length of 1st piece + length of 2nd piece

= 2 3/5 + 3 3/10

=(5Ã—2+3)/5 + (10Ã—3+3)/10

=13/5 + 33/10

By taking the LCM for 5 and 10 is 10

= (13Ã—2 + 33Ã—1)/10

= (26+33)/10

=59/10m

Length of the remaining rope = length of the rope â€“ total length of the pieces

= 11m â€“ 59/10m

By taking the LCM

= (11Ã—10 -59Ã—1)/10

= (110-59)/10

=51/10

= 5 1/10m

âˆ´ The length of the remaining rope is 5 1/10m.

2. A drum full of rice weighs 40 1/6kg. If the empty drum weighs 13 3/4kg, find the weight of rice in the drum.

Solution: we know that the given details are

A drum full of rice weighs = 40 1/6kg

Empty drum weighs = 13 3/4kg

Weight of rice in the drum = drum full of rice â€“ weight of empty drum

= 40 1/6 â€“ 13 Â¾

= 241/6 â€“ 55/4

By taking the LCM for 6 and 4 is 12

= (241Ã—2 – 55Ã—3)/12

= (482 – 165)/12

= 317/12

= 26 5/12kg

âˆ´ The weight of rice in the drum = 26 5/12kg.

3. A basket contains three types of fruits weighing 19 1/3kg in all. If 8 1/9kg of these be apples, 3 1/6kg be oranges and the rest pears, what is the weight of the pears in the basket?

Solution: we know that the given details are

Weight of three types of fruits = 19 1/3kg

Weight of apples = 8 1/9kg

Weight of oranges = 3 1/6kg

Weight of pears = Weight of three types of fruits – (Weight of apples + Weight of oranges)

= 19 1/3 – (8 1/9 + 3 1/6)

= 58/3 – (73/9 + 19/6)

= 58/3 – (73Ã—2 + 19Ã—3)/18 (by taking LCM for 9 and 6 is 18)

= 58/3 – (146 + 57)/18

= 58/3 – 203/18

By taking LCM for 3 and 18 is 18

= (58Ã—6 – 203Ã—1)/18

= (348 – 203)/18

= 145/18

= 8 1/18kg

âˆ´ The weight of pears is 8 1/18kg.

4. On one day a rickshaw puller earned â‚¹160. Out of his earnings he spent â‚¹26 3/5 on tea and snacks. â‚¹50 Â½ on food and â‚¹16 2/5 on repairs of the rickshaw. How much did he save on that day?

Solution: we know that the given details are

Total earnings = â‚¹160

Earnings spent on tea and snacks = â‚¹26 3/5

Earnings spent on food = â‚¹50 1/2

Earnings spent on repairs = â‚¹16 2/5

âˆ´ Total expenditure = Earnings spent on tea and snacks + Earnings spent on food + Earnings spent on repairs

= â‚¹26 3/5 + â‚¹50 Â½ + â‚¹16 2/5

= 133/5 + 101/2 + 82/5

By taking LCM for 5 and 2 is 10

= (133Ã—2 + 101Ã—5 + 82Ã—2)/10

= (266 + 505 +164)/10

= 935/10

Total Savings = Total Earnings â€“ Total Expenditure

= â‚¹160 – â‚¹935/10

By taking 10 as the LCM

= (160Ã—10 – 935Ã—1)/10

= (1600 â€“ 935)/10

= 665/10 = 66 Â½

âˆ´ Total Savings on that day is â‚¹66 Â½.

5. Find the cost of 3 2/5meters of cloth at â‚¹66 Â¾ per meter.

Solution: we know that the given details are

Cost of the cloth per meter = â‚¹66 Â¾

Total meters = 3 2/5meters

Total cost of cloth = Cost of the cloth per meter Ã— Total meters

= â‚¹66 Â¾ Ã— 3 2/5

= 267/4 Ã— 17/5

= 4335/20

Further we can divide by 5 we get,

4335/20 = 867/4 = 216 Â¾

âˆ´ Cost of the cloth is â‚¹216 Â¾.

6. A car moving at an average speed of 60 2/5km/hr. How much distance will it cover in 6 Â¼ hours?

Solution: we know that the given details are

Speed of the car = 60 2/5 km/hr.

Total hours = 6 Â¼ hours

By using the formula, speed = distance/time

Distance of the car = speed of the car Ã— time taken

= 60 2/5 Ã— 6 Â¼

=302/5 Ã— 25/4

= 7550/20

= 755/2 = 377 Â½

âˆ´ Distance covered = 377 Â½ km.

7. Find the area of a rectangular park which is 36 3/5m long and 16 2/3m broad.

Solution: we know that the given details are

Length of the park = 36 3/5m

Breadth of the park = 16 2/3m

By using the formula, area of rectangle = length Ã— breadth

Area of rectangular park = 36 3/5 Ã— 16 2/3

= 183/5m Ã— 50/3m

= 9150/15m2 = 610m2

âˆ´ Area of the park = 610m2

8. Find the area of a square plot of land whose each side measures 8 Â½ meters.

Solution: we know that the given details are

One side measures = 8 1/2m

By using the formula,

Area of square = side Ã— side

Area of square plot = 8 Â½m Ã— 8 Â½m

= 17/2m Ã— 17/2m

= 289/4m2 = 72 Â¼ m2

âˆ´ Area of square plot is 72 Â¼ m2

9. One liter of petrol costs â‚¹63 Â¾. What is the cost 34 liters of petrol?

Solution: we know that the given details are

Cost of 1 liter petrol = â‚¹63 Â¾

Cost of 34 liters petrol = 34 Ã— cost of 1 liter petrol

= 34 Ã— 63 Â¾

= 34 Ã— 255/4

= 8670/4

We can further divide by 2 we get,

= 4335/2

= 2167 Â½

âˆ´ Cost of 34 liters petrol is â‚¹2167 Â½

10. An aeroplane covers 1020km in an hour. How much distance will it cover in 4 1/6hours?

Solution: we know that the given details are

Distance covered in 1 hour = 1020km

Distance covered in 4 1/6 hour = 4 1/6 Ã— distance covered in 1 hour

= 4 1/6 Ã— 1020

= 25/6 Ã— 1020

=25500/6

= 4250km

âˆ´ Distance covered in 4 1/6hours = 4250km.

## RS Aggarwal Solutions for Class 8 Maths Chapter 1- Exercise 1G

Exercise 1G of RS Aggarwal Class 8 Chapter 1, Rational Numbers contains the advance concepts related to Rational Numbers. This exercise mainly deals with Word problems.

The RS Aggarwal Solutions can help the students practice and learn the fundamentals as it provides all the answers to the questions from the RS Aggarwal textbook. Students should practice RS Aggarwal Solutions without fail to understand how the concepts are solved in order to secure high marks.