Charity Donation Impact Calculator

Charity Donation Impact Calculator estimates beneficiaries, efficiency, and impact score from donation, cost, and overhead for effective giving decisions.

Donation Amount:

Cost per Beneficiary:

Administrative Overhead:

Program Type:

Formulas Used in Charity Donation Impact Calculator

The calculator uses the following formulas to estimate donation impact:

Beneficiaries Reached:

\\[ B = \frac{D \cdot (1 – A)}{C} \\]

Program Efficiency:

\\[ E = (1 – A) \cdot 100 \\]

Impact Score:

\\[ S = \min\left(100 \cdot \frac{B \cdot M_p}{B_{\text{max}}}, 100\right) \\]

Where:

\\( B \\): Beneficiaries reached (people or units)
\\( D \\): Donation amount (USD)
\\( A \\): Administrative overhead (decimal)
\\( C \\): Cost per beneficiary (USD)
\\( E \\): Program efficiency (%)
\\( S \\): Impact score (%)
\\( M_p \\): Program type multiplier (Education: 1.0, Health: 1.2, Food Aid: 0.9)
\\( B_{\text{max}} \\): Maximum reference beneficiaries (1000)

Example Calculations

Example 1: Small Donation, High Overhead, Education

Input: Donation Amount = 500 USD, Cost per Beneficiary = 100 USD, Administrative Overhead = 30%, Program Type = Education

\\[ B = \frac{D \cdot (1 – A)}{C} = \frac{500 \cdot (1 – 0.3)}{100} = 3.5 \ \text{people} \\] \\[ E = (1 – A) \cdot 100 = (1 – 0.3) \cdot 100 = 70 \ \% \\] \\[ S = \min\left(100 \cdot \frac{B \cdot M_p}{B_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{3.5 \cdot 1.0}{1000}, 100\right) = 0.35 \ \% \\]

Result: Beneficiaries Reached: 4 people, Program Efficiency: 70%, Impact Score: 0.35%

Example 2: Medium Donation, Moderate Overhead, Health

Input: Donation Amount = 5000 USD, Cost per Beneficiary = 50 USD, Administrative Overhead = 15%, Program Type = Health

\\[ B = \frac{D \cdot (1 – A)}{C} = \frac{5000 \cdot (1 – 0.15)}{50} = 85 \ \text{people} \\] \\[ E = (1 – A) \cdot 100 = (1 – 0.15) \cdot 100 = 85 \ \% \\] \\[ S = \min\left(100 \cdot \frac{B \cdot M_p}{B_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{85 \cdot 1.2}{1000}, 100\right) = 10.2 \ \% \\]

Result: Beneficiaries Reached: 85 people, Program Efficiency: 85%, Impact Score: 10.2%

Example 3: Large Donation, Low Overhead, Food Aid

Input: Donation Amount = 10000 USD, Cost per Beneficiary = 20 USD, Administrative Overhead = 10%, Program Type = Food Aid

\\[ B = \frac{D \cdot (1 – A)}{C} = \frac{10000 \cdot (1 – 0.1)}{20} = 450 \ \text{people} \\] \\[ E = (1 – A) \cdot 100 = (1 – 0.1) \cdot 100 = 90 \ \% \\] \\[ S = \min\left(100 \cdot \frac{B \cdot M_p}{B_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{450 \cdot 0.9}{1000}, 100\right) = 40.5 \ \% \\]

Result: Beneficiaries Reached: 450 people, Program Efficiency: 90%, Impact Score: 40.5%

Formulas Used in Charity Donation Impact Calculator

Example Calculations

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