ratio proportion and partnership Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Linear Equations
Squareroots & Cuberoots
The total number of students in a school is 819. If the number of girls in the school is 364, then what is the respective ratio of the total number of boys to the total number of girls in the school ?
Answer: (d)
Total number of students in the school = 819
Number of girls = 364
∴Number of boys = 819 – 364 = 455
∴Required ratio = 435 : 364 = 5 : 4
Ratio of the earning of A and B is 4:7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25% the new ratio of their earnings becomes 8:7 respectively. What are A's earnings?
Answer: (d)
According to the question, $A/B = 4/7$ ... (i)
and ${A(1+{50/100})}/{B (1-{25/100})} = 8/7$ ... (ii)
From equations (i) and (ii), we cannot find the earning of A and B.
The average age of a man and his son is 48 years. The ratio of their ages is 5 : 3 rspectively. What is the son's age ?
Answer: (a)
Let the ages of man and his son be 5x and 3x respectively.
∴5x + 3x = 2 × 48
⇒8x = 96
⇒ x = $96/8$ = 12
∴Son's age = 12 × 3 = 36 years
Ratio of the earning of A and B is 4:7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25% the new ratio of their earnings becomes 8:7 respectively. What are A's earnings?
Answer: (d)
According to the question,
$A/B=4/7$ ……(i)
and ${A(1+50/100)}/{B(1-25/100)}=8/7$ …..(ii)
From equations (i) and (ii), we cannot find the earning of A and B.
A, B and C enter into partnership. A advances one-fourth of the capital for one-fourth of the time. B contributes one-fifth of the capital for half of the time. C contributes the remaining capital for the whole time. How should they divide a profit of Rs.1140?
Answer: (a)
A's share : B's share : C's share
= $1/4 × 1/4 × 1/5 × 1/2 :[{1 - (1/4+1/5)}] × 1 = 1/16 : 1/10 : {11}/20$
Multiplying each fraction by LCM of 16, 10 and 20, i.e., 80.
We have 5 : 8 : 44
∴ A's share = ${1140}/57$ × 5 = Rs. 100
B's share = ${1140}/57$ × 8 = Rs. 160
C's share = ${1140}/57$ × 44 = Rs. 880
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