Question

If the price of sugar is increased by 7%,
then by how much per cent should a
housewife reduce consumption of sugar,
to have no extra expenditure?
(A) 7 over 107%
(B) 107 over 100%
(C) 100 over 107%
(D) 93 over 100%​

Answer 1

Answer:

Step-by-step explanation:

Original price was 100. New price is 107. Now, 100/107 = 0,935. So the consumption of sugar must be reduced by 6.5 %.

Let the original price of the sugar be Rs100

And the consumption be 1kg

Then total expenditure will be Rs100×1=Rs100

Now, when price is increased by 20  %, then new price is Rs120

Then new expense will be Rs120×1=Rs120

For expense to be same to Rs100,

% decrease in sugar consumption =  

120

120−100

​  

×100=  

3

50

​  

=16.66=approx. 17

Answer 2

Answer:

Option A

Step-by-step explanation:

Let us assume that the price of sugar is 100,

Therfore, it is increased by 7, i.e,107r

The new consumption, 107=100

100/107kg

Percent decrease =1-new consumption *100

=1-100/107kg*100

(107-100)/107*100

7/107*100

Therefore 7 over 107% is the answer