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Ratio and Proportion

Ratio and Proportion - Important Points


6. The marks obtained by Amit and Bist are in the ratio 4 : 5 and those obtained by Bist and Chandan in the ratio of 3 : 2. The marks obtained by Amit and Chandan are in the ratio:

A. 3 : 5

B. 5 : 3

C. 6 : 5

D. 5 : 6

Discuss Work Space

Answer: option c

Explanation:

Marks of Amit : Bist = 4 : 5 = 12 : 15
Marks of Bist : Chandan = 3 : 2 = 15 : 10
So, marks of Amit : Chandan = 12 : 10 = 6 : 5


7. A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.1250 in all. The share of B is:

A. Rs.260

B. Rs.240

C. Rs.250

D. Rs.255

Discuss Work Space

Answer: option d

Explanation:

If C gets x. B gets (x + 25) and A gets 3(x + 25)
Given, x + (x + 25) + 3(x + 25) = 1250
=> 5x = 1150
=> x = 230
So, B'share = 230 + 25 = 255


8. Two numbers are in the ratio of 1 : 5. If 5 is added to each number, the ratio becomes 1 : 4. The smaller number is:

A. 16

B. 20

C. 15

D. 12

Discuss Work Space

Answer: option c

Explanation:

Let the numbers are x and 5x.
=> (x + 5)/(5x + 5) = 1/4
=> 4x + 20 = 5x + 5
=> x = 15


9. Four children Amit, Ben, Curie and David divide a bag of sweets. Amit takes 2/3 of them, Ben takes 1/5 th of the remainder and the rest is equally shared between Curie and David. What fraction of the sweets did Curie or David get?

A. 3/17

B. 2/15

C. 4/15

D. 13/17

Discuss Work Space

Answer: option b

Explanation:

Let 30x be total number of sweets.
Peter takes 20x. Ben takes 2x of remaining 10x.
Curie and David gets 4x each.
Required fraction = 4x/30x = 2/15


10. Rs. 1500 is divided among A, B and C such that A receives 1/3 as much as B and C together, and, B receives 2/3 as A and C together. A's share is:

A. Rs.400

B. Rs.425

C. Rs.375

D. Rs.325

Discuss Work Space

Answer: option c

Explanation:

Given, A/(B + = 1/3 and B/(A + = 2/3
Adding 1 to the above equation, (A + B + c)/(B + = 4/3
=> 1500/(3= 4/3 => A = 1500/4 = 375



Ratio and Proportion Questions and Answers FAQ

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