Question

A man spent 12×1/2% of his money and he is left with ₹140.How much money had he at first?​

Answer 1

Answer:

₹160

Step-by-step explanation:

Let the money he had at first be x.

A.T.Q.

$x = 12 \frac{ \frac{1}{2} }{100}x + 140$

Now,

$x = \frac{25}{2} \div 100x + 140$

Then,

$x = \frac{25}{2} \times \frac{1}{100}x + 140$

$x = \frac{1}{2} \times \frac{x}{4} + 140$

$x = \frac{x}{8} + 140$

$x = \frac{x + 1120}{8}$

$8x = x + 1120$

$8x - x = 1120$

$7x = 1120$

$x = \frac{1120}{7}$

$x = 160$

Therefore, The money he had at first was ₹160.