Question

यदि किसी भिन्न के अंश को 350% तथा हर को 300% बढा दिया जाए तो भिन्न का मान 9/22हो जायेगा भिन्न का मान क्या होगा ?

Answer 1

Step-by-step explanation:

Let the numerator and denominator of fraction be x and y.

On increasing numerator by 350%

New numerator

$=x + 350\% of x\\</p><p>= x + 3.5x\\</p><p>=4.5x$

On increasing denominator by 300%

New denominator

$=y + 300\% of y\\</p><p>= y + 3y\\</p><p>=4y$

According to the given condition:

$\frac{4.5x}{4y}= \frac{9}{22}\\</p><p>\implies \frac{45x}{40y}= \frac{9}{22}\\</p><p>\implies \frac{5\times 9x}{5\times 8y}= \frac{9}{22}\\</p><p>\implies \frac{9x}{8y}= \frac{9}{22}\\</p><p>\implies \frac{x}{y}= \frac{9\times 8}{22\times 9}\\</p><p>\implies \frac{x}{y}= \frac{ 8}{22}\\</p><p>\implies \frac{x}{y}= \frac{ 4}{11}$

Thus the new fraction will be $\frac{ 4}{11}$