Question

30% of a% of b is 25% of b% of c. Which of the
following is c?
(a) 1.5a (b) 0.667a
(c) 0.5a (d) 1.20a

Answer 1

Given:

30% of a% of b is 25% of b% of c.

To find:

Which of the following is c?

Solution:

Firstly, let us solve for L.H.S.

30% of a% of b

= $\frac{30}{100} \times \frac{a}{100} \times b$ . . .  Equation 1

Secondly, we will solve for R.H.S

25% of b% of c

= $\frac{25}{100} \times \frac{b}{100} \times c$ . . . Equation 2

Now, as given in the question, we will compare equation 1 and equation 2,

$\frac{30}{100} \times \frac{a}{100} \times b = \frac{25}{100} \times \frac{b}{100} \times c$

$\implies 30 \times a \times b = 25 \times b \times c$

$\implies 30 \times a = 25 \times c$

$\implies c = \frac{30 \times a }{25}$

$\implies c = \frac{6 \times a }{5}$

$\implies \bold{c = 1.2a}$

Thus, as in option (d) → c = 1.20a.

---------------------------------------------------------------------------------------

Also View:

How to solve the problem of 140 reduced by 112 find the percentage of reduction?

brainly.in/question/8686334

If 15% of 40 is greater than 25% of a number by 2.Find the number?

brainly.in/question/130616

If 40% Of The Length Of A Cloth Is 120 Cm, What Is The Whole Length Of The Cloth? ​

brainly.in/question/15001498