Math, asked by preeti6697, 10 months ago

if cost of 8kg sardiness is rs.400.find the cost of 3kg sardiness​

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Answered by kunal2512
1

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Answered by Sauron
7

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

The cost of 3 kg is Rs.150

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

Given :

8 kg costs = Rs. 400

To Find :

Cost of 3 kg

Solution :

\textbf{Method I}

By Proportion -

Consider the cost of 3 kg as x

8 : 400 : : 3 : x

Mean Terms = 400 and 3

Extreme Terms = 8 and x

\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}

\sf{\implies} \: 400 \times 3 = 8 \times x

\sf{\implies} \:1200 = 8x

\sf{\implies} \:x =  \dfrac{1200}{8}

\sf{\implies} \:x = 150

\therefore The cost of 3 kg is Rs.150

\rule{300}{1.5}

\textbf{Method II}

By Unitary Method -

Cost of 1kg

\sf{\implies} \: 400 \div8

\sf{\implies} \: 50

Cost of 3kg

\sf{\implies} \: 3 \times 50

\sf{\implies} \: 150

\therefore The cost of 3 kg is Rs.150

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