Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store.
A. N1,080.00 B. N2,400.00 C. N3,000.00 D. N3,600.00
Correct Answer: B
Explanation
Let value of store = X Ratio of Taiwo's share to kehine's is 11:9 Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for N720 \(\frac{2}{3}\) of 9 = 6 ∴ Sum of the ratio = 11 + 9 = 20 \{\frac{6}{20}\) of x = N720 \(\frac{6x}{20}\) = 720 ∴ x = \(\frac{720 \times 20}{6}\) x = N24,000