Question

15. Babu has 540 cakes, He wants to distribute them equally to some persons,
If the number of cakes given to each person is equal to 15% of the number
of persons, find the number of cakes given to each person?​

Answer 1

Answer:

9

Step-by-step explanation:

60×(15÷100)=9

then

9×60=540

therefore no of 'S given to each person is 9

Answer 2

AnswEr :

• Let the Number of Cakes Given to each person be X
• Let the Total Number of People be Y

• According to Question :

⇒ Cakes to be Distributed Equally

⇒ Cakes = Total Cakes / People

⇒ X = $\mathsf{ \dfrac{540}{Y} }$ ⠀⠀—(¡)

⇒ Cakes Given to each person is Equal to 15% of the Number of People

⇒ Cakes = 15% of People

⇒ X = $\mathsf{ \dfrac{15}{100} \times Y }$ ⠀⠀—(¡¡)

⠀

• From (¡) and (¡¡)

$\longrightarrow\mathsf{ \dfrac{ \cancel{540}}{Y} = \dfrac{ \cancel{15}}{100} \times Y }$

$\longrightarrow\mathsf{ \dfrac{ 36}{Y} = \dfrac{1}{100} \times Y }$

$\longrightarrow\mathsf{36 \times 100 = Y^{2} }$

$\longrightarrow\mathsf{Y = \sqrt{3600} }$

$\longrightarrow\mathsf{Y = \sqrt{6 \times 6 \times 10 \times 10} }$

$\longrightarrow\mathsf{Y = 60}$

• Putting the Value of Y = 60 in (¡)

$\Longrightarrow\mathsf{X = \dfrac{540}{Y}}$

$\Longrightarrow\mathsf{X = \cancel\dfrac{540}{60}}$

$\Longrightarrow\mathsf{X = 9}$

$\therefore$ Number of Cakes Given to each person is 9 and Number of People is 60