The document RD Sharma Solutions -Page No.9.21, Ratio Proportion And Unitary Method, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Question 11: If a : b = 2 : 5, find the value of**

ANSWER: It is given that,

a/b = 2/5 ...(1)

Now,

**Question 12: The mean proportional of a and b is 10 and the value of a is four times the value of b. If a > 0, b > 0, find the value of a + b?ANSWER: It is given that, **

**From (1) and (2), **

âˆ´ a+b=20+5 =25

Hence, a + b = 25.** **

**Question 13: A given quantity of rice is sufficient for 60 persons for 3 days. How many days would the rice last for 18 persons?**

**ANSWER: **A given quantity of rice is sufficient for 60 persons for 3 days.

A given quantity of rice is sufficient for 1 person for 3 Ã— 60 days.

A given quantity of rice is sufficient for 18 persons for 3Ã—60/18 = 10 days.

Hence, the rice last for 10 days for 18 persons.

**Question 14: 12 men can reap a field in 25 days. In how many days can 20 men reap the same field?**

**ANSWER:** 12 men can reap a field in 25 days.

1 man can reap a field in 25 Ã— 12 days.

20 men can reap a field in 25Ã—12/20=15 days.

Hence, 20 men can reap the same field in 15 days.

**Question 15: Shikha and Aarushi are sisters. The ratio of their ages is 3 : 4. Their parents give them Rs. 1400 to share in the ratio of their ages. How much does each of them recieve?**

**ANSWER: **Let the age of Shikha be 3x and the age of Aarushi be 4x.

According to the question,

3x + 4x = 1400

â‡’ 7x = 1400

â‡’ x=1400/7 = 200

Hence, Shikha recieves 3 Ã— 200 = 600 rupees

and Aarushi recieves 4 Ã— 200 = 800 rupees.

**Question 16: The ratio of copper and zinc in an alloy is 5 : 3. If the weight of copper in the alloy is 30.5 g, find the weight of zinc in it.**

**ANSWER:** Let the weight of copper be 5x and the weight of zinc be 3x.

According to the question,

5x = 30.5 g

Hence, the weight of zinc in the alloy is 3Ã—6.1=18.3 g

**Question 17: Divide Rs. 3450 among A, B and C in the ratio 3 : 5 : 7.**

**ANSWER:** Let the value of A be 3x, the value of B be 5x and the value of C be 7x.

According to the question,

Hence, the value of A is 3 Ã— 230 = Rs.690,

the value of B is 5 Ã— 230 = Rs.1150,

and the value of C is 7 Ã— 230 = Rs.1610.

**Question 18: 40 men can finish a piece of work in 26 days. How many men will be needed to finish it in 16 days?**

**ANSWER:** 26 days are required to finish a piece of work by 40 men.

1 day is required to finish a piece of work by 40 Ã— 26 men.

16 days are required to finish a piece of work by 40Ã—26/16 = 65 men.

Hence, 65 men will be needed to finish a piece of work in 16 days.

**Question 19: Tropical fruit juice is mixed from mango, papaya and orange juice in the ratio 3 : 1 : 4. Aarushi has 400 ml of orange juice. If she uses it all:**

(ii) How much tropical fruit juice will he make altogether?

**ANSWER: **Let the quantity of mango juice be 3x, the quantity of papaya juice be x and the quantity of orange juice be 4x.

According to the question,

4x=400 ml

â‡’x=400/4 ml

â‡’x=100 ml

(i) Quantity of mango juice = 3Ã—100=300 ml

and Quantity of papaya juice = 100 ml

(ii) Total quantity of tropical juice = 400 + 300 + 100 = 800 ml.

**Question 20: If 48 boxes contain 6000 pens, how many such boxes will be needed for 1875 pens?**

**ANSWER:** 48 boxes contain 6000 pens.

Number of pens contained in 1 box = 6000/48 = 125 pens.

Therefore, number of boxes needed to contain 1875 pens = 1875/125 = 15 boxes.

Hence, 15 boxes will be needed for 1875 pens.

**Question 21: Fill in the blanks:If 1, 2, 3 and x are in proportion, then x = .............**

**ANSWER:**

**Question 22: Fill in the blanks:**

**ANSWER:** Rs.2 and 50 paise = (2 Ã— 100 + 50) paise

= 250 paise

Rs.3 and 75 paise = (3 Ã— 100 + 75) paise

= 375 paise

Hence. Ratio of Rs.2 and 50 paise and Rs.3 and 75 paise is __2 : 3__.

**Question 23: Fill in the blanks:Mean proportion of 2 and 8 is ..........**

**ANSWER: **Let the mean proportion of 2 and 8 be x.

Then,

Hence, mean proportion of 2 and 8 is __4__.

**Question 24: If a : b = 4 : 5 and b : c = 2 : 3, then a : c = ...........**

**ANSWER: **It is given that,

Hence, *a* : *c* = __8 : 15__.

**Question 25: Fill in the blanks:**

**ANSWER:** It is given that,

2x = 5y ......(1)

Now,

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