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(3) 15

Let us consider a number x

x% of 400 = 60

x/100 × 400 = 604

x = 60

x = 60/4 = 15

Let us consider a number x

180% of x ÷ 2 = 504

180/100 × x ÷ 2 = 504

18/10 × x = 504 × 2

x = 504 × 2 × 10/18

x = 560

[6(1/4)] %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (25/4)

= (25/4)/100

= (25/4) × (1/100)

= (1/4) × (1/4)

= 1/16

120 %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (120)/100

= (6/5)

= [1(1/5)]

0.8 %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (0.8)/100

= (8/1000)

= (1/125)

6.25 %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (6.25)/100

= (625/10000)

= (25/400)

= (1/16)

[26(2/3)] %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (80/3)

= (80/3)/100

= (80/3) × (1/100)

= (4/3) × (1/5)

= 4/15

0.06 %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (0.06)/100

= (6/10000)

= (3/5000)

Let the total number of students = Z 

Percentage of girls = (100 – 60) % = 40% 

Now, 

Number of girls = 40% of Z 

⇒ 14 = Z × 40/100 

⇒ Z = 14 × 100/40 

⇒ Z = 14 × 5/2 

⇒ Z = 35

Percentage = (96 /150 x 100) % 

= (96 /3 x 2) % [Divided by 50] 

= (32 x 2) % 

= 64%

We need to convert kg into grams by multiplying by 1000 we get,

5kg= 5 × 1000 = 5000g

Now, calculating the percentage

(200/5000 × 100) %

(200/50) % = 4 %

22.75 %

To convert a percentage into a fraction, we divide it by 100 and remove the sign %.

We have,

= (22.75)/100

= (2275/10000)

= (91/400)

\(6\frac{2}{3}\%\)

= (20 /3) % 

= (20 /3 x 1 /100) 

= 1 /15 = 0.06 ____ (i)

\(\frac{3}{20}=0.15\) ____ (ii)

0.14 ____ (iii)

From equation (i), (ii) and (iii),

0.15 > 0.14 > 0.06

= (25 /3) % 

= (25 /3 x 1 /100) 

= 8.33 /100 

= 0.08 _____ (i)

\(\frac{4}{5}\) = 0.16____(ii)

0.15 _____ (iii)

From equation (i), (ii) and (iii), 

0.16 > 0.15 > 0.08

Firstly we calculate the percentage

(96/150 × 100) %

= (96/3 × 2) % 

Now we get,

(32 × 2) % = 64%

43%

Percentage can be expressed as a ratio with its second term 100 and first term equal to the given percentage.

We have,

= (43/100)

= 43: 100

(i) 48% means, 48 divided by 100. 

So, 48% = 48 /100 

= 12 /25 

(ii) 220% means, 220 divided by 100. 

So, 220% = 220 /100 

= 11 /5 

(ii) 2.5% means, 2.5 divided by 100. 

So, 2.5% = 2.5 /100 

= 1 /40

Here, (6 2/3) % = (20/3) %

Now by multiplying by 100 we get, (20/3) × (1/100) = 1/15 = 0.06 ……. (1)

Now solving for 3/20 = 0.15 ………. (2)

And 0.14 ……….. (3)

By comparing (1) (2) (3) we get,

0.15 > 0.14 > 0.06

We know the number has to be divided by 100 we get,

(i) 48% = 48/100 = 12/25

(ii) 220% = 220/100 = 11/5

(iii) 2.5% = 2.5/100 = 1/40

36%

Percentage can be expressed as a ratio with its second term 100 and first term equal to the given percentage.

We have,

= (36/100)

= 36: 100

7.5%

Percentage can be expressed as a ratio with its second term 100 and first term equal to the given percentage.

We have,

= (7.5/100)

= (75/1000)

= 3/40

= 3: 40

(2) 0.008

By solving 0.8% we get,

0.8% = (0.8 /100) = 0.008

127%

First convert the given percentage into fraction and then put the fraction into decimal form.

= (127/100)

= 1.27

16: 25

First convert the given ratio into fraction, and then multiply the fraction by 100 and put the percent sign %.

= (16/25)

= (16/25) × 100

= (16 × 4)

= 64 %

3: 5

First convert the given ratio into fraction, and then multiply the fraction by 100 and put the percent sign %.

= (3/5)

= (3/5) × 100

= (3 × 20)

= 60 %

125%

Percentage can be expressed as a ratio with its second term 100 and first term equal to the given percentage.

We have,

= (125/100)

= 5/4

= 5: 4

45%

First convert the given percentage into fraction and then put the fraction into decimal form.

= (45/100)

= 0.45

37: 100

First convert the given ratio into fraction, and then multiply the fraction by 100 and put the percent sign %.

= (37/100)

= (37/100) × 100

= 37 %

(3) 120%

We convert the ratio into fraction 

6:5 = 6/56/5 

= (6/5 × 100) % 

= 120%

(4) 180

Let us consider a number x

So, 5% of x = 95/100 × x 

95x = 900

x = 900/5 = 180

0.23%

First convert the given percentage into fraction and then put the fraction into decimal form.

= (0.23/100)

= (23/10000)

= 0.0023

22-carat gold contains 22 parts out of 24 parts.

∴ Percentage of pure gold in 22-carat gold = \((\frac{22}{24}\times100)\%=91\frac{2}{3}\%\)

Hence, 22-carat gold contains \(=91\frac{2}{3}\%\) of pure gold.

Let the amount of money gets by C = Rs. Z 

∴ Amount of money B gets = (50% of Rs.Z) 

∴ Amount of money A gets = (50% of B) 

= (25% of Rs.Z) 

Now, 

Z + (50% of Rs.Z) + (25% of Rs.Z) = RS.7000 

⇒ Z + (Z × 50/100) + (Z × 25/100) = 7000 

⇒ Z + 50 Z/100 + 25 Z/100 = 7000 

⇒ 175 Z/100 = 7000 

⇒ Z = 7000 × 100/175 

⇒ Z = 7000 × 4/7 

⇒ Z = 4000 

∴ C gets = Rs.4000 

∴ Amount of money B gets 

= (50% of Rs.Z) 

= (50% of Rs.4000) 

= (Rs.4000 × 50/100) 

= Rs.2000 

∴ Amount of money A gets 

= (25% of Rs.Z) 

= (25% of Rs.4000) 

= (Rs.4000 × 25/100) 

= Rs.1000

25% of Rs 1000

Here, 25% of Rs 1000 can be expressed as (25 × 1000) / 100 

= 25000/100 

= Rs 250

25% of 10 kg

Here, 25% of 10 Kg can be expressed as (25 × 10) / 100 

= 250/100 

= 2.5 Kg

2.5% of 10000 ml

Here, 2.5% of 10000 ml can be expressed as (2.5 × 10000) / 100 

= 25000/100 

= 250 ml

135% of 80 cm

Here, 135% of 80 cm can be expressed as (135 × 80) / 100 

= (135 × 4) / 5 

= 108 cm

16.5% of 5000 metre

Here, 16.5% of 5000 metre can be expressed as (16.5 × 5000) / 100 

= 16.5 × 50 

= 825 m

(i) 22% of 120 

\(=\frac{120\times22}{100}=\frac{364}{10}\)=26.40

(ii) 25% of Rs 1000

\(=\frac{1000\times25}{100}\)=Rs.250

(iii) 25% of 10 kg

\(=\frac{10\times25}{100}=\frac{250}{100}\)=2.5 kg

(iv) 16.5% of 5000 metre

\(=\frac{5000\times16.5}{100}\)=\({16.5\times50}\)=825 m

(v) 135% of 80 cm

\(=\frac{80\times135}{100}=\frac{135\times4}{5}\)=108 cm

(vi) 2.5% of 10000 ml

\(\frac{10000\times2.5}{100}\)=250 ml

The given details are,

Total number of runs scored by cricketer = 120

(i) 20% of Runs scored in 6’s = (20/100) × 120 = 24 runs

(ii) 30% of Runs scored in 4’s = (30/100) × 120 = 36 runs

(iii) 25% of Runs scored in 2’s = (25/100) × 120 = 30 runs

(iv) Runs scored in singles = 120 – (24+36+30)

= 120 – 90 = 30 runs

Percentage of shots scoring ones = (Runs came in singles/Total runs scored) × 100

= (30/120) × 100

= 25%

The given details are,

Total runs scored by cricketer = 62 runs

(i) Runs scored in 3 sixes = 3×6

= 18

Percentage of runs scored in sixes = (18/62) × 100

= 29.03%

(ii) Runs scored in 8 fours = 8×4

= 32

Percentage of runs scored in fours = (32/62) × 100

= 51.61%

(iii) Runs scored in 2 two’s = 2×2

= 4

Percentage of runs scored in two’s = (4/62) × 100

= 6.45%

(iv) Runs scored in singles = 8 × 1

= 8

Percentage of runs scored in singles = (8/62) × 100

= 12.9%

The resulting = The original number x (1 - (25/100)) x (1 + (25/100))

= 12000 x (75/100) x (125/100) = 11,250

(i) 90

\(7\frac{1}{2}\%\) of Rs.1200 = (15/2) % of Rs.1200

= 15/2 × 1/100 × 1200 

= 15/2 × 12 

= 90 

∴ Rs.90

(ii) 8

240 mL = (240/1000) L

Now,

Percentage = (240/1000 × 1/3 × 100) %

= (240/10 × 1/3) % 

= (80/10) % 

= 8%

(iii) 120 

X% of 35 = 42 

⇒ 35 × X/100 = 42 

⇒ 35X/100 = 42 

⇒ X = 42 × 100/35 

⇒ X = 6 × 100/5 

⇒ X = 120

(iv) 240 

12/5 = (12/5 × 100) % 

= (12 × 20) % 

= 240%

(v) 150 

Let the number = Z 

∴ 120 = Z% of 80 

⇒ 120 = 80 × Z/100 

⇒ Z = 120 × 100/80 

⇒ Z = 120 × 5/4 

⇒ Z = 150

(i) False 

6% of 8 = 8 × 6/100 

= 48/100 

= 0.48 

(ii) False 

6:5 = 6/5 

= (6/5 × 100) % 

= (6 × 20) % 

= 120% 

(iii) True 

3/5 = 3/5 

= (3/5 × 100) % 

= (3 × 20) % 

= 60% 

(iv) True 

1 day = 24 hours 

6 hours = (6/24 × 100) % 

= (1/4 × 100) % 

= 25%

Original cost of scooter = Rs 8,000

Reduced cost of scooter = Rs 6000

Reduction in price of scooter = Rs 8,000 – Rs 6,000 = Rs 2,000

Percentage of reduction =  2000/8000 x 100 = 25%

Year 1979 population = 4,000

Year 1981 population = 4,500

Increase in population = (4,500 – 4,000) = 500

percentage of increase in population = 500/4000  x 100 = 12.5%

First price of rice = Rs. 30 per kg

Rised price = Rs. 36 per kg

Rise per kg = 36 – 30 = Rs. 6

Percent rise = 6/30 x 100 = 20%

(i) Original price of article = Rs 1800

Reduction = 30%

Reduction in price = 30% of 1800

= 30/100  x 1800 = Rs 540

(ii) Reduced price of the article = Original price – Reduction

 = Rs 1800 – Rs 540 = Rs 1260

(i) Original price = Rs 16

Increased price = Rs 20

Amount of increase = 20 – 16 = Rs 4

Percentage of increase = 4/16 x 100 = 25%

(ii) Original price = Rs 20

Decrease price = Rs 16

Amount of decrease = 20 – 16 = Rs 4

Percentage of decrease = 4/20 x 100 = 20%

(i) 10%

r = \(\frac{I\times100}{P\times\,n}\)

= \(\frac{200\times100}{2000\times1}\)

= 10 %