# RBSE Solutions for Class 6 Maths Chapter 13 Ratio and Proportion Ex 13.3

RBSE Solutions for Class 6 Maths Chapter 13 Ratio and Proportion Ex 13.3 is part of RBSE Solutions for Class 6 Maths. Here we have given Rajasthan Board RBSE Class 6 Maths Chapter 13 Ratio and Proportion Exercise 13.3.

 Board RBSE Textbook SIERT, Rajasthan Class Class 6 Subject Maths Chapter Chapter 13 Chapter Name Ratio and Proportion Exercise Ex 13.3 Number of Questions 11 Category RBSE Solutions

## Rajasthan Board RBSE Class 6 Maths Chapter 13 Ratio and Proportion Ex 13.3

Question 1.
If the cost of 1 quintal of sugar is Rs 2700, find (RBSESolutions.com) the cost of 1 kg sugar.
Solution:
Cost of 1 quintal of sugar = Rs. 2700
or cost of 100 kg of sugar= Rs. 2700
⇒ Cost of 1 kg of sugar = $$\frac { 2700 }{ 100 }$$ = Rs. 27
Thus, cost of 1 kg of sugar is Rs 27.

Question 2.
The bus fare for 200 km is Rs 150. What (RBSESolutions.com) will be the fare for 500 km?
Solution:
Bus fare of for 200 km = Rs. 150
⇒ Bus fare for 1 km = Rs. $$\frac { 150 }{ 200 }$$
∴ Bus fare for 500 km
= $$\frac { 150\times 500 }{ 200 }$$ = Rs 375.
Thus, Rs. 375 will be the fare for 500 km.

Question 3.
If the interest on Rs. 700 is Rs. 168 for a (RBSESolutions.com) certain amount of time. What will be the interest on Rs. 1500 for the same time and same rate of interest?
Solution:
Interest for Rs. 700 = Rs. 168
⇒ Interest for Rs. 1 = Rs. $$\frac { 168 }{ 700 }$$
⇒ Interest for Rs 1500 = Rs. $$\frac { 168\times 1500 }{ 700 }$$
= Rs. 360
Thus, Rs 360 will be the interest on Rs. 1500 for the same time and some rate of interest.

Question 4.
In a day, 6 girls were able to fence 18 plants. Then 15 girls can (RBSESolutions.com) fence how many plants in a day?
Solution:
6 girls fence= 18 plants
⇒ 1 girls can fence = $$\frac { 18 }{ 6 }$$ plants
⇒ 15 girls can fence = $$\frac { 18\times 15 }{ 6 }$$ plants
= 45 plants
Thus, 15 girls can fence 45 plants in a day.

Question 5.
5 persons can save 15 litres of water if they take bath using (RBSESolutions.com) a bucket instead of shower. Then 25 persons can save how many litres of water?
Solution:
5 person can save = 15l of water
⇒ 1 person can save = $$\frac { 15 }{ 5 }$$ litres of water
⇒ 25 person can save
$$=\frac { 15\times 25 }{ 5 }$$ litres of water = 75 litres of water
5 Thus, 25 persons can save 75l of water.

Question 6.
A motorbike travels 120 km in 2 litres of petrol. How (RBSESolutions.com) many litres of petrol will it require to travel 300 km?
Solution:
Petrol requires for travelling 120 km = 2l
⇒ Petrol requires for travelling 1 km
$$=\frac { 2 }{ 120 }$$ litres
⇒ Petrol requires for travelling 300 km
$$=\frac { 2\times 300 }{ 120 }$$ litres= 5 litres
Thus, 5l of petrol will be requires to travel 300 km.

Question 7.
A train travels 130 km in 2 hours. How much (RBSESolutions.com) time it required to cover 520 km with the same speed?
Solution:
Time requires in travelling 130 km = 2 hours
⇒ Time requires in travelling 1 km = $$\frac { 2 }{ 130 }$$ hours
⇒ Time requires in travelling 520 km
$$=\frac { 2\times 520 }{ 130 }$$ hours = 8 hours
Thus, 8 hours required to cover 520 km with the same speed.

Question 8.
Cost of 4 chairs is Rs. 900. How many such (RBSESolutions.com) chairs can be purchased for Rs. 33750?
Solution:
Rs. 900 is cost of = 4 chairs
⇒ Rs. 1 is cost of = $$\frac { 4 }{ 900 }$$ chairs
⇒ Rs. 33750 is cost of = $$\frac { 4\times 33750 }{ 900 }$$ chairs
= 150 chairs
Thus, 150 chairs can be purchased for Rs. 33750.

Question 9.
Geeta pays Rs. 10500 as rent for 3 months. How much does (RBSESolutions.com) she has to pay for a whole year, (if the rent per month remains same)?
Solution:
Rent for 3 months= Rs. 10500

Geeta has to pay Rs 42000, for a whole year.

Question 10.
Rahim made 48 runs in 8 overs and Kabir made. 54 runs in 6 overs. Who (RBSESolutions.com) made more runs per over?
Solution:
Rahim made in 8 overs = 48 Runs
or Rahim made in 1 over = $$\frac { 48 }{ 8 }$$ = 6 Runs
Similarly, Kabir made in 6 overs = 54 Runs
or Kabir made in 1 over = $$\frac { 54 }{ 6 }$$ = 9 Runs
Thus, Kabir mad more runs per over.

Question 11.
Cost of 3 kg of (RBSESolutions.com) millet is Rs. 49.50.
(i) What will be the cost of 7 kg of millet?
(ii) What quantity of millet can be purchased in Rs 165?
Solution:
(i) Cost of 3 kg millet = Rs. 49.50

= 115.50 Rupees
Thus, Rs. 115.50 will be the cost of 7 kg of millet.

(ii) Millet purchased (RBSESolutions.com) in Rs. 49.50 = 3 kg

10 kg of millet can be purchased in Rs. 165.

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