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Ratio

The document contains a series of important questions related to ratios and proportions, including problems on finding numbers in specific ratios, work done by men in different days, and various proportional relationships. Each question is followed by a solution section, indicating that answers are provided for the problems posed. The document serves as a study guide for understanding and solving ratio and proportion problems.

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De Das
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20 views7 pages

Ratio

The document contains a series of important questions related to ratios and proportions, including problems on finding numbers in specific ratios, work done by men in different days, and various proportional relationships. Each question is followed by a solution section, indicating that answers are provided for the problems posed. The document serves as a study guide for understanding and solving ratio and proportion problems.

Uploaded by

De Das
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Ratio and Proportions Important Questions

Q.1 Two numbers are in the ratio 3 : 5. If 8 is added to


each number, the ratio becomes 2 : 3. Find the numbers.
Solution

Q2 The work done by (x - 3) men in (2x + 1) days and


the work done by (2x + 1) men in (x + 4) days are in the
ratio 3 : 10. Find the value of x.
Solution
-80%

-50% -8%

-50%

-8% -17%

Q3 If a/b+c = b/c+a = c/a+b and a + b + c ≠ 0 ; show


that each given ratio is equal to 1/2 .
Solution
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Q4 Find the ratio compounded of the duplicate ratio of


5 : 6, the reciprocal ratio of 25 : 42 and the sub-triplicate
ratio of 216 : 343.
Solution
Q5 Find :
(i) the fourth proportional to 3, 6 and 4.5.
(ii) the mean proportional between 6.25 and 0.16.
(iii) the third proportional to 1.2 and 1.8.
Solution
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Q6 What should be added to each of the numbers 13, 17


and 22 so that the resulting numbers are in continued
proportion ?
Solution

Q7 If (a2 + c2), (ab + cd) and (b2 + d2) are in continued


proportion; prove that a, b, c and d are in proportion.
Solution
Q8 If q is the mean proportional between p and r, prove
that :
1 1 1
p 2 - q 2 + r 2 = q4 ( 2 - 2 + 2 )
p q r
Solution
8x + 13y 9
Q9 If = , find x : y
8x - 13y 7
Solution

8a - 5b 8a + 5b a c
Q10 If = , prove that =
8c - 5d 8c + 5d b d
Solution

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