Question

24. The price of salt is reduced by 50% but, inspite of the
decrease, Aayush ends up increasing his expenditure
on salt by 50%. What is the percentage change in
his monthly consumption of sugar?
(a) +60%
(b) -100%
(c) +25%
(d) 200%
​

Answer 1

Given:

The price of salt is reduced by 50% but, inspite of the  decrease, Aayush ends up increasing his expenditure  on salt by 50%.

To find:

What is the percentage change in  his monthly consumption of sugar?

Solution:

In order to find the percentage of expenditure, we use the below formula,

$z= x+(-y)+\dfrac{x \times (-y)}{100}$

From given, we have,

z = percentage of expenditure = 50

y = percentage of sugar reduced = 50

x = percentage of consumption = ?

$50= x+(-50)+\dfrac{x \times (-50)}{100}$

$50= x-50-\dfrac{50x }{100}$

$50= x-50-\dfrac{x }{2}$

$50 + 50 = x-\dfrac{x }{2}\\\\100 = x - \dfrac{x}{2}$

solving the above equation, we get,

x = 200%

Therefore, option (d) is correct.

Answer 2

Answer:

200%

Step-by-step explanation:

Let the original cost of salt be Rs.10./- per kg and let him buy 10kg. Total expenditure; Rs.10*10=Rs.100/-

Now the price or salt is reduced by 50% so as per our example it is reduced to Rs.5.5/- and hence he can buy 20kg with the same amount. He further increase the expenditure on salt by 50% so now his expenditure on salt is Rs.150/- ( from Rs.100/- ).

With the increase amount he can now buy 150/5=30kg of salt.

: ; his percentage consumption has increased by

20/10*100=200%