Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo's share to Kehinde's...

JAMB 1988

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

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Correct Answer: Option 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

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