ratio proportion and partnership Model Questions & Answers, Practice Test for ibps so prelims 2023
ibps so prelims 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Ratio & Proportion
Profit & Loss
Time & Work
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Quadratic Equations
Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12, respectively. If during a year, the ratio between the passengers of 1st, 2nd and 3rd classes was 9 : 12 : 26 and total amount collected by the sale of tickets was Rs 1088, then find the collection from the passengers of 1st, class.
Answer: (d)
Fare after reduction.
1st | 2nd | 3rd |
8 - $8/6$ | 6 - $6/12$ | 3 |
$20/3$ | $11/2$ | 3 |
40 | 33 | 18 |
Ratio of revenue 1st - 9 × 40; 2nd - 12 × 33; 3rd - 26 × 18
Ratio of revenue of all three classes = 10 : 11 : 13
∴ Collection for 1st class ${1088 × 10}/34$ = Rs 320
Populations of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respective ratio of their populations becomes 25 : 36. What is the population of village X ?
Answer: (a)
x : y = 5 : 7 or $x/y=5/7$ or 7x = 5y
or 7x – 5y = 0 ...(i)
$x/{y+25000} = 25/36$
36x = 25y + 625000
36x – 25y = 625000 ...(ii)
On equating (i) and (ii), we get
x = 625000
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50%, and 75 respectively. What will be the ratio of increased seats?
Answer: (a)
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
ie, $({140}/{100} × 5x), ({150}/{100} × 7x) and ({175}/{100} × 8x) i.e, 7x, {21x}/2$ and 14x
∴ Required ratio = 7x : ${21x}/2$ : 14x = 14x : 21x : 28x
= 2 : 3 :4.
Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs.45, 000 at the end of the year. What is Manav's share in the profit?
Answer: (c)
Ratio of profit = 1 × 12 : 2 × 6 : 3 × 4 = 1 : 1 : 1
∴ Manav's share = 45000 × $1/3$ = Rs. 15000
If A : B : C = 2 : 3 : 4. then ${A/B} : {B/C} : {C/A}$ is equal to
Answer: (d)
Let A = 2x, B = 3x, C=4x
∴$A/B$ = ${2/3},{B/C}$ = ${3/4},{C/A}$ = $4/2$= $2/1$
Now, $A/B : B/C : C/A$ = $2/3 : 3/4 : 2/1$
= $2/3$ × 12 : $3/4$ × 12 : $2/1$ × 12
= 8 : 9 : 24
ibps so prelims 2023 IMPORTANT QUESTION AND ANSWERS
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