Question

A goat and a buffalo together cost 1200rs. The cost of the goat is 1/5 of the cost of the buffalo. Find the costs of the goat and the buffalo.​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The cost of Buffalo is Rs.1000 and Goat is Rs. 200.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

$\text{\underline{\underline{\purple{Given :}}}}$

Goat and Buffalo Cost together = Rs. 1200

Cost of the goat = $\dfrac{1}{5}$ of the Cost of the buffalo.

$\text{\underline{\underline{\purple{To Find :}}}}$

The cost of the Goat and Buffalo

$\text{\underline{\underline{\purple{Solution :}}}}$

Consider the -

• Cost of Buffalo as x
• Cost of Goat will be $\dfrac{1}{5}$x

★ $\boxed{\sf{x+ \dfrac{1}{5}x=1200}}$

$\sf{\longrightarrow} \:x + \dfrac{1}{5}x = 1200$

${\longrightarrow}\text{\:LCM}{\sf\:= \:5}$

$\sf{\longrightarrow} \: \dfrac{5x + x}{5} = 1200$

$\sf{\longrightarrow} \: \dfrac{6x}{5} = 1200$

$\sf{\longrightarrow} \:6x = 1200 \times 5$

$\sf{\longrightarrow} \:6x = 6000$

$\sf{\longrightarrow} \:x = \dfrac{6000}{6}$

$\sf{\longrightarrow} \:x = 1000$

$\rule{300}{1.5}$

★ Value of $\dfrac{1}{5}$x

$\sf{\longrightarrow} \: \dfrac{1}{\cancel5} \times \cancel{1000}$

$\sf{\longrightarrow} \:200$

$\therefore$ The cost of Buffalo is Rs.1000 and Goat is Rs. 200.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\longrightarrow} \: 1000 + 200 = 1200$

$\sf{\longrightarrow} \:1200 = 1200$

$\therefore$ The cost of Buffalo is Rs.1000 and Goat is Rs. 200.

Answer 2

According to the given question:-

₹ 1200 is the cost of both goat and Buffalo

Here we need to find the cost of Goat and buffalo:-

• Let y be the cost of buffalo
• Let 1/5y be the cost of Goat

So,

$= > y + \frac{1}{5} y = 1200$

$= > y + \frac{1}{5} y = 1200$

Taking LCM for 5

$= > \frac{6y}{5} = 1200$

$= > 6y = 1200 \times 5$

$= > 6y = 6000$

$= > y = \frac{6000}{6}$

$= > y = 1000$

Here, is the value of 1/5 is

$\frac{1}{5} \times 1000$

Therefore, The cost of buffalo is ₹ 1000 and The cost of Goat is ₹ 200