Question

यदि किसी भिन्न के अंश को 20% कम तथा हर को 10% बढा दिया जाए तो भिन्न का मान 16/55 हो जायेगा भिन्न का मान क्या होगा ?

Answer 1

100%/100%
80%/110%=16/25
2/5 fraction

Answer 2

Answer:

2/5

Step-by-step explanation:

Let the fraction be $\frac{x}{y}$

Now, the numerator is decreased by 20%.

So, the numerator becomes

x ' = x - 0.2x

x' = 0.8 x

And the denominator is increased by 10%

thus, the denominator becomes

y' = y + 0.1 y

y' = 1.1y

Now, the fraction is 16/55. Hence, we have

$\frac{x'}{y'}=\frac{16}{55}\\\\\frac{0.8x}{1.1y}=\frac{16}{55}\\\\\frac{8x}{11y}=\frac{16}{55}\\\\\frac{x}{y}=\frac{2}{5}$

Thus, the fraction is 2/5.