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The Income of an Agent Remains · Unchanged Though the Rate of Commission is Increased from 5% to 6.25%. - Mathematics and Statistics

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प्रश्न

The income of an agent remains unchanged though the rate of commission is increased from 5% to 6.25%. Find the percentage reduction in the value of business.

योग

उत्तर

Let the initial value of the business be ₹ 100 

∴ Original income of the agent = ₹ 5 

Let the new value of the business be ₹ x 

∴  New income of the agent 

`= "x" xx 6.25/100`

`= "x"/100 xx 625/100`

`= "x"/16`

Now original income = new income (Given) 

`5 = "x"/16`

x = 80

∴ New value of the business = ₹ 80 

∴ There is 20% reduction in the value of the business.

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2015-2016 (July)

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