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 is B

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