type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - EXERCISES]
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
Question : 21 [SSC CGL Prelim 2002]
The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio if 12 more girls are admitted?
a) 9 : 10
b) 10 : 9
c) 81 : 91
d) 91 : 81
Answer »Answer: (d)
Total numbers of girls in the school
= $504 ×11/{13 + 11}$
= $504 × 11/24$ = 231
Total numbers of boys in the school
= $504 × 13/{13 + 11}$
= $504 × 13/29 = 273$
Now, total no. of girls when 12 more girls are admitted
= 231 + 12 = 243
Required ratio
= 273 : 243 = 91 : 81
Question : 22 [SSC CHSL 2012]
If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wage in the ratio 22 : 25, then the ratio by which the total wage of the workers should be decreased is
a) 3 : 7
b) 3 :5
c) 5 : 6
d) 6 : 5
Answer »Answer: (d)
Tricky Approach
Required ratio
= 15 × 22 : 11 × 25 = 6 : 5
Question : 23 [SSC CGL Prelim 1999]
A and B have money in the ratio Rs.2 : 1. If A gives 2 to B, the money will be in the ratio 1 : 1. What were the initial amounts they had?
a) Rs.8 and Rs.4
b) Rs.6 and Rs.3
c) Rs.16 and Rs.8
d) Rs.12 and Rs.6
Answer »Answer: (a)
Let A and B have Rs.2x and Rs.x initially.
2x - 2 = x + 2
x = 4
Initial amount with A = Rs.8
Initial amount with B = Rs.4.
Question : 24 [SSC CGL Tier-I 2014]
Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each then they are in the ratio 12 : 23. The smaller number is
a) 28
b) 36
c) 33
d) 55
Answer »Answer: (c)
Numbers = 3x and 5x (let)
According to question,
${3x - 9}/{5x - 9} = 12/23$
69x - 207 = 60x - 108
69x - 60x = 207 - 108
9x = 99 ⇒ $x = 99/9$ = 11
Smaller number = 3x = 3 × 11 = 33
Question : 25 [SSC Delhi Police 2012]
Two numbers are in the ratio of 3 : 5. If 9 be subtracted from each, then they are in the ratio of 12 : 23. Find the numbers.
a) 33, 55
b) 60, 69
c) 36, 115
d) 15, 28
Answer »Answer: (a)
According to the question,
${3x - 9}/{5x - 9} = 12/23$
(Numbers = 3x and 5x )
69x - 207 = 60x - 108
9x = 207 - 108 = 99
x = 11
Required numbers
3 × 11 = 33 and 5 × 11 = 55
Using Rule 35,
Here, a = 3, b = 5, c = 12,
d = 23, x = 9
1st Number = ${xa(d-c)}/{ad-bc}$
= ${9 × 3(23 - 12)}/{3 × 23 - 5 × 12}$
= ${27 × 11}/{69 - 60}$
= ${27 × 11}/9$= 33
2nd Number= ${xb(d-c)}/{ad-bc}$
= ${9 × 5(23 - 12)}/{3 × 23 - 5 × 12}$
= ${45 × 11}/{69 - 60}$
= ${45 × 11}/9$ = 55
Numbers are 33, 55
IMPORTANT quantitative aptitude EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
-
Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
-
159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
-
199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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