If numerator of a fraction is increased by 25% and the denominator is decreased by 15%, the fraction becomes 15/17. Find the value of the original fraction?
3/5
Let the original fraction be x/y.
The numerator is increased by 25%, so the new numerator = x × (125/100) = 1.25x.
The denominator is decreased by 15%, so the new denominator = y × (85/100) = 0.85y.
The new fraction equals 15/17, so:
1.25x / 0.85y = 15/17
This can be written as (x/y) × (1.25/0.85) = 15/17
Simplify 1.25/0.85 = 125/85 = 25/17
So (x/y) × (25/17) = 15/17
Multiply both sides by 17: (x/y) × 25 = 15
x/y = 15/25 = 3/5
So the original fraction is 3/5
Similar Questions
Consider following sums of fractions:
A. $\frac{16}{19}$ + $\frac{1}{4}$
B. $\frac{11}{14}$ + $\frac{1}{5}$
C. $\frac{19}{21}$ + $\frac{1}{3}$
Choose the correct ascending order of above sums of fractions from the following options:
Important Questions from Fractions
The value of $\frac{5}{3} + (\frac{1}{1+\frac{5}{6}}) - \frac{5}{3}$ is
The value of $\frac{4}{5} + (\frac{1}{1+\frac{5}{6}}) - \frac{2}{5}$ is
- The value of $\frac{5}{2} + \frac{1}{(1 + \frac{3}{8})} - \frac{3}{5}$ is
- Ritik and Sanjay together invested ₹62,400 in a business. At the end of the year, out of a total profit of ₹15,600, Sanjay's share was ₹1,900. What was the difference between their investments?
- The value of $\frac{3}{4} + \frac{1}{\left(1+\frac{3}{7}\right)} - \frac{3}{4}$ is
