Question

By how much percent 24% of 75 is less than 45% of 120?
A) 64.30%
B) 72.40%
C) 66.67%
D) Data Inadequate

Answer 1

Solution :-

Find the 24% of 75 :

0.24 × 75 = 18

Find 45% of 120 :

0.45 × 120 = 54

Now,

How much 24% of 75 is less than 45% of 120 :

54 - 18 = 36

How much percent 24% of 75 is less than 45% of 120 :

(36 × 100)/54 % = 3600 / 54 %

= 66.67 %

Answer : C) 66.67

Answer 2

Answer:

$\boxed{\mathbb{OPTION\:C}}$

Step-by-step explanation:

We will first calculate 24 % of 75 and then calculate 45 % of 120 .

24 % of 75

$\mathsf{24\%\:of\:75}\\\\\mathsf{\implies \dfrac{24}{100}\times 75}\\\\\mathsf{\implies 24\times \dfrac{75}{100}}\\\\\mathsf{\implies 24\times \dfrac{3}{4}}\\\\\implies \mathsf{6\times 3}\\\\\mathsf{\implies 18}$

45 % of 120

$\mathsf{45\%\:of\:120}\\\\\mathsf{\implies \dfrac{45}{100}\times 120}\\\\\mathsf{\implies 45\times \dfrac{120}{100}}\\\\\mathsf{\implies 45\times \dfrac{6}{5}}\\\\\implies \mathsf{9\times 6}\\\\\mathsf{\implies 54}$

Decrease in both

Decrease = 54 - 18

⇒ Decrease = 36

$\mathsf{Percentage=\dfrac{36}{54}\times 100}\\\\\mathsf{\implies \dfrac{2}{3}\times 100}\\\\\implies \mathsf{\dfrac{200}{3}}\\\\\implies \mathsf{66.67\%}$

Hence the answer is OPTION C .