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The length and breadth of a rectangular field are in the ratio 5:3. If the cost of cultivating the field at 25 paise per square metre is Rs. 6000, find the perimeter of the field.

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"solution:
Let length =`5x` and breadth =`3x` ∴ Area = length × breadth =`5x xx3x=15x^2`
Cost of cultivating 1 square meter =`85` paise
:. Cost of cultivating `15x^2` square meter`=85×15x^2`
`=1275x^2paise`
`=Rs.1275x^2-:100`
Given,Rs.`1275x^2-:100=624.75`
`x^2=624.75xx100:-1275`
length =`5xx7=35 m`
breadth `=3xx7=21` m
Since, perimeter =2( length + breadth) `=2(35+21) =2(56)=112 m`
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