मराठी

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? - Mathematics and Statistics

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प्रश्न

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?

बेरीज

उत्तर

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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पाठ 9: Commercial Mathematics - Exercise 9.1 [पृष्ठ १२४]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 9 Commercial Mathematics
Exercise 9.1 | Q 5 | पृष्ठ १२४
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