Question

Darren is on a super effective diet. He has lost 16 percent of his weight this month.
If he started with 75 kg, how much does he weight now?

Answer 1

Answer:

63 kg

Step-by-step explanation:

Given :

Darren is on a super effective diet.

He has lost 16 percent of his weight this month.

He started with 75 kg.

To Find :

His Present weight.

Solution :

Since Darren lost 16% of his weight.

So,

$\sf\\ \\\implies 100-16 = 84\%$

Now,

What he used to is 84%.

Implies,

$\sf \implies 84\% = \dfrac{84}{100} = 0.84\qquad[Darren's\;Weight]$

As given :

If he started with 75 kg.

Therefore,

$\sf \\ \\\implies 0.84(75) \\ \\\implies 0.84\times75\\ \\\implies 63$

∴ The present weight of Darren is 63 kg.

Answer 2

$\bold{\underline{\underline{\huge{\sf{AnsWer:}}}}}$

Darren's present weight = 63 kg.

$\bold{\underline{\underline{\huge{\sf{StEp\:by\:stEp\:explanation:}}}}}$

GIVEN :

• Darren is on a super effective diet
• He has lost 16 percent of his weight this month.
• Initial weight = 75 kg.

TO FIND :

• Present weight of Darren.

SOLUTION :

Percentage is always out of 100%

•°• Let weight of Darren in the beginning of this month = 100%

$\bold{\underline{\underline{\sf{As\:per\:the\:first\:given\:condition:}}}}$

• He has lost 16 percent of his weight this month.

Constituting it mathematically,

$\rightarrow$ $\bold{100-16}$

$\rightarrow$ $\bold{84}$

•°• Darren weighs 84% of his weight in the beginning of the month.

$\bold{\underline{\underline{\sf{As\:per\:the\:second\:given\:condition:}}}}$

• He started with 75 kg.

Which means weight of Darren in the beginning of this month = 75 kg.

But since Darren lose 16% of his weight in this month and is now 84% of his initial weight.

Initial weight = 75 kg.

•°• His present weight will be 84% times his initial weight.

Let his present weight be x kg.

$\rightarrow$ $\bold{x={\dfrac{84}{100}}\times\:75}$

$\rightarrow$ $\bold{x={\dfrac{84}{4}}\times\:3}$

$\rightarrow$ $\bold{x=21\times\:3}$

$\rightarrow$ $\bold{x=63}$

•°• Darren weighs 63 kg at present time.