Ratio and Proportion Aptitude Questions and
Answers – Methods shortcut tricks
Banking Classes : Takshila Learning focusing mainly on providing online banking coaching to our students as well as online test series for bank po, mock test papers for IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RRB and many other competitive exams. We aim to provide Quality & result oriented education & guidance to the aspirants for better employment opportunities. You need not worry how to prepare for bank exams, we ensure that you get complete guidance for it.We regularly offer to our aspirant’s different blogs and articles on important topics, news, and information related to banking exams. In this article, the following topic ‘Ratio &Proportion’ from Quantitative Aptitude section is explained.
Ratio and Proportion
Ratio & Proportion is an important topic from Banking exams point of view as 1-2 questions are asked from this topic directly. Further indirect questions which make use of the concept of Ratio & Proportion are also frequently asked. Ratio & Proportion also plays an important role in D.I. based problems which makes this chapter very important for banking aspirants.
Q:1 If A: B = 5: 7
B: C = 3: 4, then what is A: B: C?
(a) 4: 7: 9 (b) 15: 21: 28 (c) 3: 8: 15 (d) 4: 9: 15 (e) None of these
Sol: A: B = 5: 7……..× 3
B: C = 3: 4……..×7 (We will make B equal in both the ratios)
So, A: B = 15: 21
B: C = 21: 28
Therefore, A: B: C = 15: 21: 28
Q:2 The ratio of two numbers is 5: 4. If their sum is 135, Find the smaller of the two numbers.
(a) 30 (b) 40 (c) 55 (d) 65 (e) None of these
Sol: Let the two numbers be 5x and 4x.
So, 5x + 4x = 135
9x = 135
So, x = 15
Therefore, smaller number = 4 × 15 = 60
Q:3An employer reduces the number of his employees in the ratio 9:8 & increases their wages in the ratio 14:15. If the original wage bill was Rs 18,900, Find the ratio in which the wage bill is decreased.
(a) 21:20 (b) 36:41 (c) 5:8 (d) 32:37 (e) None of these
Sol: Let the initial no of employees be 9x& the employer gives Rs 14y as a wage to each.
So, 9x × 14y = 18900
So, xy = 150
The new bill is 8x × 15y = 120 xy
= 120 × 150 = 18000
So, the required ratio 18900:18000
For online mock test papers of Quantitative Aptitude & more, click online bank coaching classes.
Q:4 The cost of a piece of stone worth Rs 10,872 fell & broke into 3 pieces, the weights of which are proportional to 1:2:3. The value of each stone is directly proportional to the square of its weight. Find the loss in the value caused by the breakage.
(a) 3624 (b) 4228 (c) 6644 (d) 7510(e) None of these
Sol: Let the initial weight of the stone (before breaking) be 6w
So, Weights of the broken stones are w, 2w & 3w resp.
The initial value of the stone is Rs. 10,872
10,872 α (6w)2
So, 10,872= 36w2k
W2k = 10,872 / 36 ……..1
Total value of the pieces of the stone = (12 + 22 + 32)w2k
Loss in the value = 36w2k – 14 w2k
= 22 × 10,872 / 36 ……From 1
= 22 × 302
Q:5 If the income of Amit & Mohit is in the ratio 4:5 & their expenses are in the ratio of 6:7. Find the ratio of their savings, if Amit manages to save one-fourth of his salary.
(a) 4:5 (b) 7:3 (c) 5:8 (d) 3:2 (e) None of these
Sol: Let the salary of Amit&Mohit be 4x & 5x resp.
&their expenses be 6y & 7y resp.
Savings of Amit = 4x- 6y
Savings of Mohit = 5x- 7y
- T. Q
4x- 6y = 4x / 4
3x = 6y
x = 2y
Ratio of their savings: 4(2y) – 6y / 5(2y) – 7y
= 8y – 6y / 10y – 7y
= 2y / 3y
= 2: 3
For more Ratio and Proportion Aptitude Questions and Answers, online bank exam coaching, SSC exam preparation, job alerts, study material,previous year papers and much more,register with TakshilaLearning.