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Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

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‘Per cent’ means ‘out of one hundred’. Symbol % is used to denote per cent

Some examples to convert a per cent into a fraction, ratio or decimal and vice versa.

Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

1.
(i) 50% = 0.50

(ii) 7% = 0.07

(iii) 90% = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT = 0.90

(iv) 1% = 0.01 

 

2.
(i) 10% of 100 = 10

(ii) 20% of 500 = 100

(iii) 30% of 1000 = 300

 

3. 
(i) 5 out of 25 = 20%

(ii) Re 1 out of Rs 25 = 4%

(iii) 10 out of 50 = 20%


Example 1.

(a) If 25% of X= 30. find X

Sol. 25% of X is Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT   and it is equal to 30

           Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

 

(b) If 24% of X is 48, then find X

Sol. 24% of X is 48

Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

 

Example 2: Vijay deposits Rs 45 per month in the bank. If this amount is 15% of his monthly income, find his monthly income.

Solution: Let his monthly income be Rs X

As per the given statement 15% of X is 45

          Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

 or x = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT = 300 RS 


Example 3: Gunpowder contains 75% nitre and 10% sulphur. The rest of the material is charcoal. Find the amount of each of the contents in 9 kg of gunpowder.

Solution: Weight of gunpowder = 9 kg

Contents are – nitre = 75%, Sulphur = 10% charcoal = 100-75-10 = 15%

Nitre in 9 kg = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT = 6.75 kg

Sulphur in 9 kg = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT  = 0.90 kg

Charcoal in 9 kg = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT= 1.35 kg

Question for Percentage And Its Applications
Try yourself:If 4.6% of X is 23 find X
View Solution

Example 4: Ankits salary is 25% more than that of Anil. What percent is Anil’s salary less than Ankits?

Solution: Let Anil’s salary be Rs 100

Then Ankit gets 25% more than Anil = 125

If Ankit’s salary is Rs 125 Anil’s = 100

If Ankit’s salary is Rs 100 then Anil’s = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

So, Anils salary is Rs 80 when Ankit’s is Rs 100

So, Anil salary is 20% less than Ankit

 

Example 5: Raman loses 20% of his money. After spending 25% of the remaining, he has Rs 480. How much did he originally had?

Solution: Suppose Raman had Rs 100 in the beginning. He lost 20% i.e. Rs. 20

Remainder = Rs 100 – Rs 20 = Rs 80

Out of Rs 80 he spent 25%, which is equal to Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

Remainder = Rs 80 – Rs 20 = Rs 60

If remainder is Rs 60, he originally had = Rs 100

If remainder is Rs1, he originally had = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

If remainder is Rs 480 he originally had = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

Question for Percentage And Its Applications
Try yourself:Example 6: The salary of a person has been increased by 25%. By what per cent should the salary be reduced so that he gets the original salary. (answer in interger only)
Check
View Solution

Example 6: The price of a shirt in Dec 1997 was Rs 250. In Jan. 1998 it was increased by 10% and in Oct 1998 it was reduced by 10%. What in the new price of the shirt.

Solution: Price in Dec 1997 = Rs 250 

Price in Jan 1998 = Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT

Price in Oct 1998 = 275 x Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT = Rs 247.50

Question for Percentage And Its Applications
Try yourself:
Example 12: When 75% of a number is added to 75, the result is the same number. Find the number. (answer in interger only)
Check
View Solution

The document Percentage And Its Applications - Notes | Study Quantitative Techniques for CLAT - CLAT is a part of the CLAT Course Quantitative Techniques for CLAT.
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