Wednesday, 3 May 2017

Ratio and Proportion II - Ratio and Proportion Questions for IBPS PO Exam

In this post, we will discuss few important types of Ratio and Proportion Questions that are asked in IBPS PO exam and solve them using smart method
Ratio and Proportion Questions

Ratio and Proportion questions are asked in IBPS PO Exam directly or indirectly. Knowing tricks to solve Ratio and Proportions questions is mandatory, as this will help you to save a lot of time during your examination.

In the previous post, Ratio and Proportion 1- Ratio and Proportion Formulas for IBPS PO Exams, we have discussed the concept of Ratio and Proportion and few basic Ratio and Proportion Questions that are asked in IBPS PO Exam. In this post, we will discuss two more types of Ratio and Proportion Questions that are frequently asked. We will then solve them using the smart method which will help you to save time.
Ratio and Proportion Questions
Module 3: 
In this module, Ratio and Proportion Questions are discussed where you have to Calculate the total amount, based on the given Ratio and Proportion difference. These ratio and proportion question can be solved using Ratio and Proportion Formulas

Question: A sum of money is divided among A, B, C, D in the ratio 3:5:8:9 respectively. If the share of D is Rs.1872 more than the share A, then what is the total amount of B and C?

Step 1:
A:B:C:D = 3:5:8:9 (This means when that when the whole part will be divided, A will get 3 parts, B will get 5 parts, C will get 8 parts and D will get 9 parts)

Step 2:
As it is given in the question that D is 1872 Rupees more than A
We can say that,
D - A = 1872
9x - 3x = 1872
6x= 1872

Step 3:
we need to find the total amount of money for B and C
B + C = ?
5x + 8x = ?
13x = ?       

Step 4:
As we have like terms, with the concept of equivalent proportionality, we cross multiply-
Ratio and Proportion Questions
By cross multiplication we get,
B + C = (13 x 1872) / 6 ( the x gets cancelled, as it is common)
B + C = 4056

Module 4:
In this module, Ratio and Proportion Questions discussed are on change of ratio when there is a change in the absolute value.

Question: Amit, Sumit and Vinit divide an amount of Rs.2800 among themselves in the ratio of 5:6:3 respectively. If an amount of Rs.200 is added to each of their shares, what will the new ratio of their new shares.

Regular Method
Step 1:
From the given information we know that,
5x + 6x + 3x = 2800 (x here indicates single part)
14x = 2800
x = 2800/14 = 200

Step 2:
Individual amount for
Amit: 5 x 200 = 1000
Sumit: 6 x 200 = 1200
Vinit: 3 x 200 = 600

Step 3:
As it is said that 200 rupees is added to each share-  
Amit: 1000 + 200 = 1200
Sumit: 1200 + 200 = 1400
Vinit: 600 + 200 = 800

Step 4:
Now the new share of Amit, Sumit and Vinit is
Amit : Sumit : Vinit  :: 1200 : 1400 : 800

Step 5:
By simplification,
The ratio of Amit : Sumit : Vinit = 6:7:4

Smart Method
Step 1:
As we know that 14x = 2800 (by adding up all the parts)
x = 2800

Step 2:
In the question it is said that, the share increased by Rs.200, this means that ratio is increased by one part, So by that we can get new ratio of Amit:Sumit:Vinit as
5 + 1 : 6 + 1 : 3 + 1 = 6:7:4
Therefore, The new ratio of Amit:Sumit:Vinit is 6:7:4.

Do write down in the comment section how this post helped you to solve Ratio and Proportion Questions using Ratio and Proportion Formulas.

Stay Tuned for our Next post.
Ratio and Proportion Questions
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