Problem

Ade, Bola, Caro and David are to share 100,000 in the ratio of $4: 3: 2: 1$. How much does each receive? Express Ade's share as a percentage of $\mathrm{N} 100,000$.

Solution

Step 1 :First, we calculate the total ratio by adding all the individual ratios together: \(4 + 3 + 2 + 1 = 10\).

Step 2 :Next, we find out how much each person receives by dividing the total amount (100,000) by the total ratio and multiplying by each person's individual ratio. This gives us the shares: \[\frac{100000}{10} \times 4 = 40000.0\] for Ade, \[\frac{100000}{10} \times 3 = 30000.0\] for Bola, \[\frac{100000}{10} \times 2 = 20000.0\] for Caro, and \[\frac{100000}{10} \times 1 = 10000.0\] for David.

Step 3 :To express Ade's share as a percentage of the total amount, we divide Ade's share by the total amount and multiply by 100: \[\frac{40000}{100000} \times 100 = 40.0\].

Step 4 :Final Answer: Ade, Bola, Caro and David receive \$40,000, \$30,000, \$20,000 and \$10,000 respectively. Ade's share is \(\boxed{40\%}\) of the total amount.

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Source: https://solvelyapp.com/problems/18865/

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