On reduction of potato price by 25% a person purchase 7.5kg of potato more in 360 what is the actual price of per kg of potato
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Let actual price of potato be x
Original qty bought be q
So, we have
q.x = 360....(1)
Now we have
New price = 3/4 (x)
New qty = q + 7.5
So we get
[q + 7.5] 3/4 (x) = 360....(2)
Equating (1) and (2) we get
[q + 7.5] 3/4 (x) = qx
[q + 7.5] 3/4 = q
q + 7.5 = 4/3 q
4/3 q - q = 7.5
4/3 q - 3/3 q = 7.5
1/3 q = 7.5
q = 7.5 (3) = 22.5 kg
Putting this in (1) we get
(22.5) x = 360
x = 360 ÷ 22.5
x = 16
Therefore actual price of potato is Rs. 16
Original qty bought be q
So, we have
q.x = 360....(1)
Now we have
New price = 3/4 (x)
New qty = q + 7.5
So we get
[q + 7.5] 3/4 (x) = 360....(2)
Equating (1) and (2) we get
[q + 7.5] 3/4 (x) = qx
[q + 7.5] 3/4 = q
q + 7.5 = 4/3 q
4/3 q - q = 7.5
4/3 q - 3/3 q = 7.5
1/3 q = 7.5
q = 7.5 (3) = 22.5 kg
Putting this in (1) we get
(22.5) x = 360
x = 360 ÷ 22.5
x = 16
Therefore actual price of potato is Rs. 16
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