Question

If the price of sugar is increased by 1%, what
percentage should be the reduction in the
consumption so that there is no extra
expenditure :
​

Answer 1

Solution

let the price of 1 kg sugar was =X rs

now the price is increased by 1%

there the latest price is =X+(X/100)=101x/100

now ....

therefore...

with 101x/100rs 1 kg of sugar can be bought

therefore for X rs =(100/101 )kg sugar can be bought...

therefore... decrease in the consumption of sugar is=x-(100x/101)=X/101

percentage decrease=

$= \frac{ \frac{x}{101} }{x} \times 100 \\ = \frac{100}{101} \: percentage$

Answer 2

Answer:

0.990099

Step-by-step explanation:

let's assume that the use of sugar is 1000g.. and it costs 100 rupees.

so now, 1000g of sugar costs

100+ (100×1/100)=101 rupees.

as, we have to maintain it without any extra expenditure, the money will remain 100 rupees.

so, 101 rs is the price of 1000g sugar

so, 1 rs is the price of (1000/101) g sugar

so, 100 rs is the price of (1000×100/101) g sugar

= 990.09901 g sugar

so, the percentage of reduction is

=[(1000- 990.09901)/1000]×100

= 0.990099 %

hope this helps..

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