Question

By a reduction of Rs. 2 per kg in the price of sugar, Anita can purchase 2 Kg sugar more for Rs. 224. Find the original price of sugar per kg. What value of Anita is depicted in the question?
Value Based Question

Answer 1

COST OF SUGER X
WEIGHT OF SUGER=Y
THERE WAS SAME AMOUNT IN TWO CASE
XY=224
(X-2)(Y+2)=224
XY-2Y-4+2X=224
2(X-Y)-4=0
X-Y=2
X=2+Y
Y(2+Y)=224
2Y+Y^2=224
WE KNOW THAT 15^2=225 SO Y MUST BE LESS THEN 15
Y=14
X=16
cost of surge=16
she bought 14 kg

Answer 2

Answer:

Step-by-step explanation:

Let cost of suger = X

And weight of suger = Y

In both the cases the price was same...

Therefore,

XY=224 - (1)

(X-2)(Y+2)=224

XY+2x-2y-4=224 - (2)

Subtracting. (1) and (2) we get

-2x+2y+4=0

-2(x-y)=-4

x-y=-4/-2

x-y=2

x=2+y

Now putting value of x in eq - (1)

XY=224

(2+y)Y=224

Y^2+2y=224

Y^2+2y-224=0

Y^2+16y-14y-224

Y(y+16)-14(y+16)

(Y-14)(y+16)

Weight cannot be negetive that's why Y=14

We know that x=2+y

Therefore,

X=2+y

X=2+14 (if y=14 finded)

X=16

Therefore,

Cost of suger per kg = ₹16

Weight of suger purchased by Anita = 14kg

I think this helps u....... ; )