Selina Solutions Concise Mathematics Class 6 Chapter 13: Unitary Method Exercise 13(B) provides students a better idea of solving the exercise wise problems quickly. The solutions are designed by the faculty at BYJU’S, with the intention to enhance interest among students in Mathematics. Solutions PDF are available for students 24/7, which help them in clearing their doubts on the spot. To know more about the concepts, students can use Selina Solutions Concise Mathematics Class 6 Chapter 13 Unitary Method Exercise 13(B) PDF, from the links which are provided below.
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Exercise 13(B)
1. Weight of 15 books is 6 kg. What is the weight of 45 such books?
Solution:
Given
Weight of 15 books = 6 kg
Hence weight of 45 books can be calculated as below
Weight of one book = 6 / 15 kg
Weight of 45 books = 6 / 15 × 45
= 18 kg
∴ The weight of 45 books is 18 kg
2. A made 84 runs in 6 overs and B made 126 runs in 7 overs. Who made more runs per over?
Solution:
Given
Runs scored by A in 6 overs = 84 runs
Runs scored by B in 7 overs = 126 runs
Hence runs scored by A and B per over can be calculated as below
Runs scored by A in one over = 84 / 6
= 14 runs
Runs scored by B in one over = 126 / 7
= 18 runs
∴ Runs scored by B is more than A per over
3. Geeta types 108 words in 6 minutes. How many words would she type in half an hour?
Solution:
Given
Geeta types 108 words in 6 minutes
We know
1 hour = 60 minutes
Half an hour = 30 minutes
Hence number of words typed by Geeta in 30 minutes can be calculated as below
Words typed by Geeta in 1 minute = 108 / 6
= 18 words
Words typed by Geeta in 30 minutes = 18 × 30
= 540 words
∴ Geeta type 540 words in 30 minutes
4. The temperature dropped 18 degree Celsius in the last 24 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next 18 days?
Solution:
Given
Temperature dropped 18 degree Celsius in 24 days
Hence temperature drop in next 18 days can be calculated as below
Temperature drop in 24 days = 180 C
Temperature drop in 1 day = 180 C / 24
Temperature drop in 18 days = 18 × 180 C / 24
= 13.50 C
∴ Temperature drop in next 18 days will be 13.50 C
5. Mr. Chopra pays Rs 12,000 as rent for 3 months. How much does he has to pay for a year if the rent per month remains same?
Solution:
Given
Rent paid by Chopra for 3 months = Rs 12,000
Hence rent of 12 months can be calculated as below
Rent of 1 month = 12000 / 3
= Rs 4000
Rent of 12 months = 12 × 4000
= Rs 48000
∴ The rent of 12 months is Rs 48000
6. A truck requires 108 litres of diesel for covering a distance of 1188 km. How much diesel will be required by the truck to cover a distance of 3300 km?
Solution:
Given
A truck requires 108 litres of diesel for covering a distance of 1188 km
Diesel required to cover 1188 km distance by a truck = 108 litres
Diesel required to cover 1 km distance by a truck = 108 / 1188 litres
Diesel required to cover 3300 km distance = 108 / 1188 × 3300
= 300 litres
∴ A truck requires 300 litres of diesel to cover a distance of 3300 km
7. If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?
Solution:
Given
Interest earned on deposit of Rs 2000 for 3 years = Rs 500
Hence interest earned on deposit of Rs 36000 for 3 years can be calculated as below
Interest earned on deposit of Rs 2000 for 3 years = Rs 500
Interest earned on deposit of Rs 1 for 3 years = Rs 500 / 2000
Interest earned on deposit of Rs 36000 for 3 years = Rs 36000 × 500 / 2000
= Rs 9000
∴ Amount earned on deposit of Rs 36000 in 3 years is Rs 9000
8. If John walks 250 steps to cover a distance of 200 metres, find the distance covered by him in 350 steps.
Solution:
Given
Distance covered by John to walk 250 steps = 200 metres
Hence distance covered by John to walk 350 steps can be calculated as below
Distance covered in one step = 200 / 250
Distance covered in 350 steps = 350 × 200 / 250 m
= 280 m
∴ Distance covered by John to walk 350 steps is 280 m
9.25 metres of cloth costs Rs 1,012.50
(i) What will be the cost of 20 metres of cloth of the same type?
(ii) How many metres of the same kind can be bought for Rs 1,620?
Solution:
(i) Given
Cost of 25 metre cloth = Rs 1012.50
Hence the cost of 20 metre cloth can be calculated as below
Cost of 1 metre cloth = Rs 1012.50 / 25
Cost of 20 metre cloth = Rs 20 × 1012.50 / 25
= Rs 810
∴ Cost of 20 metre cloth is Rs 810
(ii) Given
Cost of 25 metre cloth = Rs 1012.50
Hence cloth purchased in Rs 1620 can be calculated as below
Cloth purchased by Rs 1012.50 = 25 metre
Cloth purchased by Rs 1 = 25 / 1012.50 m
Cloth purchased by Rs 1620 = 1620 × 25 / 1012.50 m
= 40 m
∴ 40 metre cloth can be purchased in Rs 1620
10. In a particular week, a man works for 48 hours and earns Rs 4, 320. But in the next week he worked 6 hours less, how much has he earned in this week?
Solution:
Given
Amount earned by a man for working 48 hours = Rs 4320
Work done by him for 6 hours less than last week = 48 – 6
= 42 hours
Hence money earned by a man in 42 hours can be calculated as below
Money earned in one hour = 4320 / 48
Money earned in 42 hours = 42 × 4320 / 48
= Rs 3780
∴ In 42 hours a man earns Rs 3780
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