# Mixtures and Alligation III – Important Mixtures and Alligation Questions for IBPS PO Exam

In this post, we have discussed few important Mixtures and Alligation Questions that are asked IBPS PO and SSC CGL Exam
Often Mixtures and Alligation questions leave you confused in IBPS PO Exam because of the time take by them. But mixtures and alligation questions are the simplest one if you know the right way to solve them.

In our previous post, Mixtures and Alligation I - Introduction and formulas to solve Mixtures and Alligation Questions and Mixtures and Alligation II – Mixtures and Alligation Questions solved for IBPS PO and SSC CGL Exams we have discussed the formula and solved few frequently asked mixtures and alligation questions in IBPS PO and SSC CGL. In this post, we will solve few tricky mixtures and alligation questions and solve them using alligation rule.

Example 1: Mixture and Alligation Questions For IBPS PO Exam

Question: Deepak has some goats and some hens. The total number of heads is 90 and the total number of feet is 248. What is the number of goats?

Solution:
Step 1:
Let us assume that number of Goats as ‘G’ and number of Hens as ‘H.’
G + H = 90 (as the total number of heads = 90)
4G + 2H = 248 ( as the total number of legs are 248 and goats have 4 legs and hens has 2 legs each)

Step 2:
We can solve this question using alligation rule
Step 3:
Number of Goats = (17/45)x 90 = 34
Therefore, there are 34 number of goats.
Example 2Mixture and Alligation Questions For IBPS PO Exam

Question: An amount of Rs.780 is distributed among 60 students of a class, such that each boy gets Rs.15 and each girl gets Rs.10. What is the number of boys?

Solution:
Step 1:
Let us assume that number of Boys as ‘B’ and number of Girls as ‘G.’
B + G = 60
150B + 10G = 780

Step 2:
Let as assume T1 as B and T2 and G
Step 3:
B = 3/5 x 60 = 36
Therefore, there are 36 number of boys.

Example 3: Mixture and Alligation Questions For IBPS PO Exam

Question: A sum of Rs.12000 is divided into two parts. One part is lent at simple interest of 6% p.a and the other at 8% p.a. What is the sum lent at 8% p.a if the total interest at the end of 1 year is Rs.860

Solution:
T1 = 6% of 12000 = 720
T2 = 8% of 12000 = 960
M = 860

Step 2: By applying alligation rule, we can find out the ratio of P1 and P2.
Step 3: P8% = 7/12 x 12000 = 7000

Therefore, the principal amount that is invested at 8% per annum is Rs.7000

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