# Important Questions with Short Tricks on Mixture & Alligation For SSC Exams

By Neha Uppal|Updated : March 11th, 2021

Mixture & Alligation, one of the important topics from the exam point of view as the questions from this unit, are a bit tricky and need special attention. So we will discuss some important types and how to solve them with a shortcut approach.

Mixture & Alligation, one of the important topics from the exam point of view as the questions from this unit, are a bit tricky and need special attention. So we will discuss some important types and how to solve them with a shortcut approach.

## 5 Most Important Questions with Short Tricks on Mixture & Alligation For SSC Exams

Question 1: In a mixture of 75 litres, the ratio of milk to water is 2: 1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1: 2 will be

(1) 45 litres

(2)  60 litres

(3)  75 litres

(4)  80 litres

Solution:

In 75 litres of the mixture. Let x litres of water be added, Short Trick: 3 units = 75 l because 75 l was in ratio 2: 1 initially.

Question 2: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make 20% water in the new mixture?

(1)  3 litres

(2)  4 litres

(3)  5 litres

(4)  6 litres

Solution (8 x 5 = 40 l which is the initial quantity. Hence 1 is also multiplied by 5)

Short Trick:

(40 + x) x 20% = 4 + x

x = 5l

Question 3: In three vessels each of 10 l capacity, mixture of milk and water is filled, the ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels, if all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

(1)  121 : 59

(2)  123 : 59

(3)  125 : 59

(4)  127 : 59

Solution:  2nd Method :  L.C.M. of 3, 4 & 5. Hence 3 is multiplied by 4 x 5; 4 is multiplied by 3 x 5; 5 is multiplied by 3 x 4.

Question 4: Vessels A and B contain mixtures of milk and water in the ratios 4: 5 and 5: 1 respectively. In what ratio should quantities of the mixture be taken from A and B to form a mixture in which milk and water are in the ratio 5: 4?

(1)  2 : 5

(2)  4 : 3

(3)  5 : 2

(4)  2 : 3

Solution:

Quantity of milk in vessel A Quantity of milk in vessel B Quantity of milk in final mixture  So, mixture of vessels A and B are mixed in ratio of 5 : 2.

2nd Method :  Question 5: 50 g of an alloy of gold and silver contains 80% gold (by weight). The quantity of gold, that is to be mixed up with this alloy, so that it may contain 95% gold, is

(1)  200 g

(2)  150 g

(3)  50 g

(4)  10 g

Solution:

Quantity of gold in the alloy Let x gm of gold is added, then Other Method: 1 unit when multiplied by 50 gives 50g. Hence 3 unit is also multiplied by 50. GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com