A man loses 20% of his money and after spending 80% of the amount , he has left with Rs.160. How much did he have at first?

Rs.1,000

Let, A man has money in the beginning = 100

20% he lost, so, remaining money = 100 - 20 = 80

After spending 85% of the remaining amount we left = 80 x \(\frac{100-80}{100}\)

= 16

so, 16K = Rs. 160             (given)

 K = Rs. 10 

So,

The Man has the money in the beginning = 100K =  10 x 100 = Rs.1000

The Man has the money in the beginning = Rs.1000