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In a financial year, company increases its production by 30% and profit is increased by 20% per unit. Every year, the company donated a part of the profit to a charity. Since the profit is increased this time, the part of the profit donated to charity was increased by 25%. The number of beneficiaries in the charity has increased by 50%, how much percentage is the money donated per head more than the previous year?

In a financial year, company increases its production by 30% and profit is increased by 20% per unit. Every year, the company donated a part of the profit to a charity. Since the profit is increased this time, the part of the profit donated to charity was increased by 25%. The number of beneficiaries in the charity has increased by 50%, how much percentage is the money donated per head more than the previous year? Correct Answer 30

Let the production, profit on a unit, part of profit donated to charity and the number of the previous beneficiaries be a, c, b and d respectively.

Money donated per head = (Total profit × Part of which is donated to charity) /Number of beneficiaries

⇒ Mp = abc/d

Money donated per head in the current year = (130% of a × 125% of b × 120% of c) /150% of d

⇒ M = (1.3 × 1.25 × 1.2/1.5) × (abc/d)

⇒ M = 1.3 Mp

∴ Percentage increase in the money donated per head = (1.3 - 1) /1 × 100 = 30%

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