Question

150 kgs of sugar cost RS 3000 . how many kgs of sugar can be purchased for Rs 8500?
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Answer 1

Answer:

cost of 150 kg sugar=rs 3000

therefore cost of 1kg sugar=3000÷150=20 rs

therefore no of kg of sugar can be purchased with rs 8500=

$8500 \div 20$

= 425kg

Answer 2

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

425 kg Sugar can be brought in Rs. 8500

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

Given :

150 kg Sugar costs = Rs. 3000

To Find :

Sugar purchased for Rs 8500

Solution :

$\textbf{\small{\underline{Method I}}}$

$\textbf{By Proportion -}$

Consider the Sugar purchased for Rs 8500 as x

3000 : 150 : 8500 : x

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

Mean Terms = 150 and 8500

Extreme Terms = 3000 and x

$\longrightarrow \: 150 \times 8500 = 3000 \times x$

$\longrightarrow \: 1275000 = 3000x$

$\longrightarrow \: x = \dfrac{1275000}{3000}$

$\longrightarrow \: x = 425$

$\therefore$ 425 kg Sugar can be brought in Rs. 8500

$\rule{300}{1.5}$

$\textbf{\small{\underline{Method II}}}$

$\textbf{By Unitary Method -}$

Cost of 1 kg Sugar

$\longrightarrow \: 3000 \div 150$

$\longrightarrow \: 20$

$\rule{300}{1.5}$

Divide 8500 by Cost of sugar per Kg.

$\longrightarrow \: 8500 \div 20$

$\longrightarrow \: 425$

$\therefore$ 425 kg Sugar can be brought in Rs. 8500