Question

50% of a% of bis 75% of b% of c. Which of the following is C?
Select one:
O a. 0.66a
O b. 1.50a
O C. 0.56a
O d. 1.25a​

Answer 1

Answer:

50% of a% of bis 75% of b% of c. Which of the following is C?

b. 1.50a

Answer 2

The value of c = 1.50a [ The correct option is b. 1.50a ]

Given :

50% of a% of b is 75% of b% of c

To find :

The value of c is

a. 0.66a

b. 1.50a

c. 0.56a

d. 1.25a

Solution :

Step 1 of 2 :

Form the equation to find the value of c

By the given condition

50% of a% of b = 75% of b% of c

$\displaystyle \sf{ \implies } b \times \frac{a}{100} \times \frac{50}{100} = c \times \frac{b}{100} \times \frac{75}{100}$

Step 2 of 2 :

Find the value of c

$\displaystyle \sf{ }b \times \frac{a}{100} \times \frac{50}{100} = c \times \frac{b}{100} \times \frac{75}{100}$

$\displaystyle \sf{ \implies }b \times a \times 50= c \times b \times 75$

$\displaystyle \sf{ \implies }b \times a \times 50= c \times b \times 75$

$\displaystyle \sf{ \implies } a \times 50= c \times 75$

$\displaystyle \sf{ \implies }c = \frac{75}{50} \times a$

$\displaystyle \sf{ \implies }c = 1.5 \times a$

$\displaystyle \sf{ \implies }c \: = 1.50a$

∴ The value of c = 1.50a

Hence correct option is b. 1.50a

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ What percent of 1km is 500 m ?

https://brainly.in/question/31451385

2. what percentage is 474 m of 1km 896m

https://brainly.in/question/12696179

#SPJ3