Question

6 dozen of eggs cost rupees 108. how much will 108 eggs cost?​

Answer 1

Given :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Cost of 6 dozen eggs = ₹ 108

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

To find :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Cost of 108 eggs ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Let ,

• The cost of 108 eggs be x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \dfrac{6 \times 12}{108} \: = \dfrac{108}{x}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \: x \: = \dfrac{108 \times 108}{6 \times 12}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \: x \: = \cancel\dfrac{11664}{72}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies{\underline{\boxed{\frak{\purple{x = 162}}}}}\;\bigstar$

________________________________

So, the cost of 108 eggs is ₹ 162

________________________________

Answer 2

$\huge\bf\underline\red{Gɪᴠᴇɴ} :$

ᴄᴏꜱᴛ ᴏꜰ 6 ᴅᴏᴢᴇɴ ᴇɢɢꜱ = ₹ 108

$\huge\bf\underline\red{Tᴏ \: Fɪɴᴅ} :$

ᴄᴏꜱᴛ ᴏꜰ 108 ᴇɢɢꜱ ?

$\huge\bf\underline\red{Sᴏʟᴜᴛɪᴏɴ} :$

$:\implies\sf \dfrac{6 \times 12}{108} \: = \dfrac{108}{x}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \: x \: = \dfrac{108 \times 108}{6 \times 12}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \: x \: = \cancel\dfrac{11664}{72}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\begin{gathered}:\implies{\underline{\boxed{\frak{\red{x = 162}}}}}\;\bigstar\\ \\\end{gathered}$

Sᴏ, ᴛʜᴇ ᴄᴏꜱᴛ ᴏꜰ 108 ᴇɢɢꜱ ɪꜱ $\boxed{\bf{\red{₹ 162}}}$