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Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download

PAGE NO 9.18:

Question 1:  The price of 3 metres of cloth is Rs 79.50. Find the price of 15 metres of such cloth.

ANSWER: Price of 3 metres of cloth = Rs. 79.50

Price of 1 metre of cloth  = 79.50/3 = Rs.26.5

Price of 15 metres of cloth = 26.5×15 = Rs. 397.50


Question 2: The cost of 17 chairs is Rs 9605. Find the number of chairs that can be purchased in Rs 56500.

ANSWER: Number of chairs purchased for Rs. 9,605 = 17

Number of chairs purchased for Rs. 1 = 17/9605

Number of chairs purchased for Rs. 56,500  

Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics


Question 3: Three ferryloads are needed to carry 150 people across a river. How many people will be carried on 4 ferryloads?

ANSWER: Number of people needed to carry 3 ferryloads across a river =  150

Number of people needed to carry 1 ferryload across a river  = 150/3 = 50

Number of people needed to carry 4 ferryloads across a river =  50×4 = 200


Question 4: If 9 kg of rice costs Rs 120.60, What will 50 kg of such a quality of rice cost?

ANSWER: Cost of 9 kg rice = Rs. 120.60

Cost of 1 kg rice = 120.60/9 = Rs. 13.4

Cost of 50 kg rice = 13.4×50= Rs. 670


Question 5: A train runs 200 kilometres in 5 hours. How many kilometres does it run in 7 hours

ANSWER: Distance covered by the train in 5 hours = 200 km 

Distance covered by the train in 1 hour  = 200/5 = 40 km

Distance covered by the train in 7 hours = 40×7 = 280


Question 6: 10 boys can dig a pitch in 12 hours. How long will 8 boys take to do it?

ANSWER: It is given that 10 boys can dig a pitch in 12 hours.

Therefore, time taken by one boy to dig the pitch = 10×12 = 120 hours

Thus, time taken by 8 boys to dig the same pitch  = 120/8 = 15 hours


Question 7: A man can work 8 hours daily and finishes a work in 12 days. If he works 6 hrs daily, in how many days will the same work be finished?

ANSWER: It is given that a man can work for 8 hours daily and finishes a work in 12 days.

Therefore, time taken by the man to finish the total work = 8×12=968×12=96 hours

If he works for 6 hours daily, the number of days required to finish the total work = 96/6 =16 days


Question 8: Fifteen post cards cost Rs 2.25. What will be the cost of 36 post cards? How many postcards can we buy in Rs 45?

ANSWER: Cost of 15 postcards = Rs. 2.25 

Cost of 1 postcard = Rs. 2.25/15

Cost of 36 postcards 

Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics

Number of postcards purchased in Rs. 1 = 15/2.25

Number of postcards purchased in 

Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics

Question 9: A rail journey of 75 km costs Rs 215. How much will a journey of 120 km cost?

ANSWER: Cost of a rail journey of 75 km = Rs. 215

Cost of a rail journey of 1 km  = Rs. 215/75

Cost of a rail journey of 120 km Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics


Question 10: If the sales tax on a purchase worth Rs 60 is Rs 4.20. What wil be the sales tax on the purchase worth Rs 150?

ANSWER: Sales tax on a purchase worth Rs. 60 = Rs. 4.20

Sales tax on a purchase worth Rs. 1 = Rs. 420/60

Sales tax on a purchase worth Rs. 150 

Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics

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FAQs on Page No.9.18, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics

1. What is the definition of ratio in mathematics?
Ans. In mathematics, a ratio is a comparison of two or more quantities of the same kind using division. It is represented using the symbol ":" or as a fraction.
2. How do you simplify a ratio?
Ans. To simplify a ratio, you need to find the greatest common divisor (GCD) of the two numbers in the ratio and divide both numbers by the GCD. This will give you the simplified form of the ratio.
3. What is the difference between direct and inverse proportion?
Ans. In direct proportion, when one quantity increases, the other quantity also increases in the same ratio. Inverse proportion, on the other hand, is when one quantity increases, the other quantity decreases in the same ratio.
4. How do you solve problems involving unitary method?
Ans. To solve problems involving unitary method, you need to first identify the unitary value (the value of 1 unit) and then use this value to find the required quantity. This can be done by setting up a proportion and cross-multiplying.
5. Can ratios be used to compare more than two quantities?
Ans. Yes, ratios can be used to compare more than two quantities. For example, if you have three quantities A, B, and C, you can compare the ratios A:B, B:C, and A:C to see how they relate to each other.
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