Ratio & Proportion Mixture Alligation Partnership & Average Test

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Ratio & Proportion Mixture Alligation Partnership & Average Test - 1

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Weekly Quiz Competition

Question 1
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If A : B = 3 : 7 and the sum of A and B is 45. Find the value of B.

A
28

B
33.5

C
31.5

D
36

Solution
Question 2
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A fraction bears the same ratio to 3/7 as 1/27 to 1/35. The fraction is

A
4/9

B
1/3

C
3/5

D
5/9

Solution
Question 3
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Mean proportion between 8 and 72 is

A
24

B
40

C
16

D
32

Solution

If a, b, c are in continuous proportion. The mean proportion is b.

Therefore, b² = ac, b² = 8 × 72, b = √576 24.
Question 4
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Fourth proportional to 3, 15 and 27 is

A
39

B
45

C
81

D
135

Solution
Question 5
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Third proportional to 20 and 30 is

A
40

B
45

C
60

D
50

Solution
Question 6
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A, B and C join a partnership contributing ₹2,000, ₹1,500 and ₹1,250 respectively. What is A’s share in a total profit of ₹3,610?

A
₹1,500

B
₹1,520

C
₹1,870

D
₹2,290

Solution

where P = Profit and x, y and z are respective shares of A, B and C.
Question 7
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A starts a business with ₹4,000. B joins him after 3 months with ₹8,000. C puts a sum of ₹12,000 in the business for 2 months only. At the end of the year the business gave a profit of ₹5,200. Find the share of B.

A
₹1,500

B
₹2,000

C
₹2,600

D
₹4,000

Solution

Ratio of their profits = Ratio of their investments

= 4000 × 12 : 8000 × 9 : 12000 × 2

Bs’ share = 3/6 × 5200 = ₹2,600.
Question 8
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If ratio of shares of X and Y is 2 : 7, what is the ratio of X’s share to the difference between Y’s and X’s shares?

A
2 : 7

B
4 : 12

C
2 : 5

D
2 : 9

Solution
Question 9
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₹3,960 is divided among A, B and C such that half of A’s part, one-third of B’s part and one-sixth of C’s part are equal. Then B’s part is

A
₹1,080

B
₹960

C
₹1,720

D
₹1,540

Solution
Question 10
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In the above question, what is the ratio of A’s share to the difference of B and C’s share?

A
2 : 9

B
2 : 5

C
4 : 5

D
2 : 3

Solution