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Question
The price of rice increased by 20%, as a result, a person can have 5 kg of rice for ₹ 600. What was the initial price of rice per kg?
Solution
A person can buy 5 kg of rice for ₹ 600 after the increase in price
∴ The new price of rice = `600/5` = ₹ 120/kg ...(i)
Let ‘x’ be the initial price per kg of rice.
There is a 20% increase in the price of rice.
Thus the new price of the rice will be given as
`"x"(1 + 20/100)`
Equation with (i), we get
`"x"(1 + 20/100) = 120`
∴ `"x"((100 + 20)/100) = 120`
∴ `(120"x")/100 = 120`
∴ x = 100
∴ The initial price of rice is ₹ 100 per kg
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