Question

Due to 25% increase in the price of sugar, Mona bought 1 kg less sugar than usual
for 200. What was the original price(in D of sugar per kg?
33
50
80
40
G
​

Answer 1

Answer:

40

price×quantity=amount

for amount being same,increase in price will cause reduction in quantity

Answer 2

Answer:

The original price for sugar (per kg) is found to be option d) ₹40.

Step-by-step explanation:

Let x be the original price of the sugar per kg,

Let y be the weight of sugar (in kg) Mona bought originally,

According to question, the expression for the cost of sugar will be:

$xy=200$                                      ...(i)

Now, after 25% increase in price, the new price becomes: $1.25x$

The new weight of sugar that Mona gets now: $y-1$

The expression for cost of sugar becomes:

$1.25x(y-1)=200$                      ...(ii)

Equating (i) and (ii), we get:

$1.25x(y-1)=xy$

Simplifying it, we get:

$1.25y-1.25=y$

Seperating variables, we get:

$1.25y-y=1.25$

$0.25y=1.25$

or we can say:

$y=5$

Substituting $y=5$ in (i), we get:

$x(5)=200$

Or we can say:

$x=40$

So, the original price of sugar (per kg) is found to be ₹40.