Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde…

1. Analyze the question

We are given the initial ratio of shares between Taiwo and Kehinde. We are told that Kehinde sells a specific fraction of her share to Taiwo, and the monetary value of that transaction is N720.00. We need to find the total value of the store.

2. Explain the concept

• Ratio to Fraction: If the ratio of Taiwo's share to Kehinde's share is $11:9$, then the total parts in the store are $11 + 9 = 20$ parts.
• Fractional Value: Taiwo owns $\frac{11}{20}$ of the store, and Kehinde owns $\frac{9}{20}$ of the store.
• Transaction: Kehinde sells $\frac{2}{3}$ of her share. This means the amount of money she received (N720) represents exactly $\frac{2}{3}$ of her total share of the store.

3. Show the solution

Step 1: Find the total value of Kehinde's share. Let $K$ be the total value of Kehinde's share. We know that $\frac{2}{3}$ of $K = N720$.

So, Kehinde's total share is worth N1,080.00.

Step 2: Relate Kehinde's share to the total store value. From the ratio $11:9$, Kehinde's share is $\frac{9}{20}$ of the total store value ($V$).

The total value of the store is N2,400.00.

4. Identify the answer

Comparing our result to the given options, the correct choice is B.

5. Tip

When dealing with ratio problems involving money, always find the value of "one part" or the value of the specific person's share first. Once you have the monetary value of one person's share, you can easily scale it up to the total value of the store using the ratio fractions.