Reduction of 20% in the price of sugar enables to buy an extra 3 kg of tape for rupees 360 find the original rate and reduced rate per kg
Answers
Step-by-step explanation:
Given:
A reduction of 20% in the price of sugar, enables Mr.Shad to buy an extra 3kg of sugar Rs.360
Also, given to find out (i) original rate & (ii) the reduced rate per kg.
from the given date we get, discount =20%
Total price of purchase offer discount =360Rs
Quantity purchased =3 kg
Let us consider the original amount as
′
x
′
.
Now if 3kg=360 Rs
1kg=?
⇒
3
360×1
=120Rs
as given to find the reduced rate per kg
we get reduced rate =
2
120
=60 Rs
∴ the reduced rate per kg=60 Rs
To find the original price, we get if for 1kg 20% is the discount in decimal for 1000 grams we get as 0.8 discount.
So, now original price will be as,
0.8×x=60
⇒ x=
0.8
60
⇒ x=
8
60
↔60×
8
16
⇒ x=15×5=75
∴ the original rate of sugar is 75 Rs.
As, per on original rate 75 Rs, there is a 20% discount, it allowed Mr.Shad to purchase extra 3 kg of sugar.