a reduction of 25% in price of the rice enable Mahesh to purchase 4kg more for rupees 600 .find original price
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Answer:
50
Step-by-step explanation:
Given a reduction of 25% in price of the rice enable Mahesh to purchase 4 kg more for rupees 600 .find original price
Let original price be x
So reduction of 25% will be x – 25/100 of x
So new price will be x – x/4 = 3 x/4
Now for Rs 600, Mahesh was able to buy y kg of rice.
600 = initial price/kg x weight bought = x x y
At new price for same amount he can buy y + 4 kg of rice.
So 600 = new price/kg x new weight
600 = 3 x/4 x (y + 4)
We have 600 = x x y
Substituting y we get
600 = 3 x 600/4 +12 x / 4
600 = 450 + 3 x
3 x = 600 – 450
X = 150 / 3
X = 50
So the original price was Rs 50
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