Fill in the blanks.(i) \(7\frac{1}{2}\%\) of Rs.1200 = ……..(ii)�

1.	Fill in the blanks.(i) \(7\frac{1}{2}\%\) of Rs.1200 = ……..(ii) 240 mL is……% of 3 L.(iii) If x% of 35 is 42, then x = ……..(iv) \(\frac{12}{5}\) = ........%(v) 120 = (……)% of 80.
Answer» (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

Fill in the blanks.(i) \(7\frac{1}{2}\%\) of Rs.1200 = ……..(ii) 240 mL is……% of 3 L.(iii) If x% of 35 is 42, then x = ……..(iv) \(\frac{12}{5}\) = ........%(v) 120 = (……)% of 80.

Answer»

(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