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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #31664)