NCERT solution Class 11 linear inequalities

NCERT Solutions

Class 11 Maths

Linear Inequalities

NCERT Questions

Ex.6.1 Q.1
Ex.6.1 Q.2
Ex.6.1 Q.3
Ex.6.1 Q.4
Ex.6.1 Q.5
Ex.6.1 Q.6
Ex.6.1 Q.7
Ex.6.1 Q.8
Ex.6.1 Q.9
Ex.6.1 Q.10
Ex.6.1 Q.11
Ex.6.1 Q.12
Ex.6.1 Q.13
Ex.6.1 Q.14
Ex.6.1 Q.15
Ex.6.1 Q.16
Ex.6.1 Q.17
Ex.6.1 Q.18
Ex.6.1 Q.19
Ex.6.1 Q.20
Ex.6.1 Q.21
Ex.6.1 Q.22
Ex.6.1 Q.23
Ex.6.1 Q.24
Ex.6.1 Q.25
Ex.6.1 Q.26
Ex.6.2 Q.1
Ex.6.2 Q.2
Ex.6.2 Q.3
Ex.6.2 Q.4
Ex.6.2 Q.5
Ex.6.2 Q.6
Ex.6.2 Q.7
Ex.6.2 Q.8
Ex.6.2 Q.9
Ex.6.2 Q.10
Ex.6.3 Q.1
Ex.6.3 Q.2
Ex.6.3 Q.3
Ex.6.3 Q.4
Ex.6.3 Q.5
Ex.6.3 Q.6
Ex.6.3 Q.7
Ex.6.3 Q.8
Ex.6.3 Q.9
Ex.6.3 Q.10
Ex.6.3 Q.11
Ex.6.3 Q.12
Ex.6.3 Q.13
Ex.6.3 Q.14
Ex.6.3 Q.15
Ex.Misc.Q.1
Ex.Misc.Q.2
Ex.Misc.Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7
Ex.Misc.Q.8
Ex.Misc.Q.9
Ex.Misc.Q.10
Ex.Misc.Q.11
Ex.Misc.Q.12
Ex.Misc.Q.13
Ex.Misc.Q.14

Ex.Misc.Q.13

How many litres of water will have to be added to 1125 litres of the 45% solution of acid

so that the resulting mixture will contain more than 25% but less than 30% acid content?

Let amount of water is added = x litre

Given solution is 1125 litre

Percentage of acid in solution = 45%

So, percentage of water in solution = 55%

Case 1: Resulting mixture will contain more than 25% acid

x + 1125 × 55% = (x + 1125) × 75%

=> x + (1125 × 55) ÷ 100 = (x + 1125) × (75 ÷ 100)

=> 100x + 1125 × 55 = (x + 1125) × 75

=> 100x + 1125 × 55 = 75x + 1125 × 75

=> 100x - 75x = 1125 × 75 – 1125 × 55

=> 25x = 1125 × (75 - 55)

=> 25x = 1125 × 20

=> x = (1125 × 20) ÷ 25

=> x = (1125 × 4) ÷ 5

=> x = 225 × 4

=> x = 900

Case 2: Resulting mixture will contain more than 30% acid

x + 1125 × 55% = (x + 1125) × 70%

=> x + (1125 × 55) ÷ 100 = (x + 1125) × (70 ÷ 100)

=> 100x + 1125 × 55 = (x + 1125) × 70

=> 100x + 1125 × 55 = 70x + 1125 × 70

=> 100x - 70x = 1125 × 70 – 1125 × 55

=> 30x = 1125 × (70-55)

=> 30x = 1125 × 15

=> x = (1125 × 15) ÷ 30

=> x = (1125 × 5) ÷ 10

=> x = (1125) ÷ 2

=> x = 562.5

Now, 562.5 < x < 900

Thus, the required number of litres of water that is to be added will have to be more than 562.5 but less than 900.

Video solution:

Linear Inequalities Class 11 Maths NCERT Chapter 5 NCERT Solutions

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NCERT solutions of Linear Inequalities Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Linear Inequalities NCERT solutions.