Answer:
D) Replace the 7/8 with a 5/6.
Step-by-step explanation:
Given,
The original value of the scooter = $ 8000,
If it loses an eighth of its value.
Then the decrement in the price of scooter = \(\frac{1}{8}\) of the original price of the scooter
\(=\frac{1}{8}\times 8000\)
\(=\frac{8000}{8}\)
Now, the final price of the scooter = Original price of the scooter - Decrement in price
\(=8000-\frac{8000}{8}\)
\(=8000(1-\frac{1}{8})\)
\(=8000(\frac{8-1}{8}\)
\(=8000(\frac{7}{8})\)
Similarly, If it loses an sixth of its value.
Then, decrement in price = \(\frac{1}{6}\) of 8000
\(=\frac{8000}{6}\)
And, the final price of the scooter = \(8000-\frac{8000}{6}\)
\(=8000(1-\frac{1}{6})\)
\(=8000(\frac{6-1}{6})\)
\(=8000(\frac{5}{6})\)
Hence, Option D is correct.
