Question

The price of sugar has increased by 20%. Let's work out the percentage of
decrease in consumption of sugar if the monthly expenses of sugar remain same.​

Answer 1

Step-by-step explanation:

$\huge\mathfrak\red{Question}$

The price of sugar has increased by 20%. Let's work out the percentage of

decrease in consumption of sugar if the monthly expenses of sugar remain same.

$\huge\mathfrak\orange{Answer :-}$

$\huge\mathbb\green{Solution:-}$

$Let \: the \: original \: price \: of \: \\ the \: sugar \: be \:  Rs. \: 100$

$And \: the \: consumption \: be \:  1kg$

$Then \: total \: expenditure \: will \: be  \: Rs. \: 100×1 \: =Rs. \: 100$

$Now, \: when \: price \: is \: increased \: by  \: 20  %, \: then \: new \: price \: is \:  Rs. \: 120$

$Then \: new \: expense \: will \: be \:  Rs. \: 120×1 \: =Rs. \: 120$

$For \: expense \: to \: be \: same \: to \:  Rs. \: 100,$

$\% \: decrease \: in \: suger \: consumption \: = \: \frac{120 - 100}{120} \: \times \: 100$

$= \: \frac{50}{3} \:$

$= \: 16.66 \: = \: approx. \: 17\%$