Mathematics

After paying 20% of the income, a man is left with ₹ 160; then the income of the man is:
₹ 128
₹ 192
₹ 200
none of these

30 Likes

Let $x$ be the income of a man.

The man spent 20 % of the income.

⇒ He saves (100 - 20)% = 80 % of his income

So, 80 % of his income = ₹ 160

⇒ $\dfrac{80}{100} \times x = 160$

⇒ $\dfrac{80x}{100} = 160$

⇒ $\dfrac{4x}{5} = 160$

⇒ $x = \dfrac{160 \times 5}{4}$

⇒ $x = \dfrac{800}{4}$

⇒ $x = 200$

Hence, option 3 is the correct option.

Answered By

8 Likes