Question

50% of 320 is equal to 80% of what number?

Answer 1

50% of 320 is equal to 80% of 200.

Explanation:

Given,

50% of 320 is equal to 80% of a number (let it be x)

Now,

50% of 320

= 50% × 320

= 50/100 × 320

= 50/10 × 32

= 5 × 32

= 160

Also now,

160 is equal to 80% of x.

80% of x = 160

80% × x = 160

80/100 × x = 160

8/10 × x = 160

4/5 × x = 160

4/5x = 160

x = 160 ÷ 4/5

x = 160 × 5/4

x = 40 × 5

x = 200

Answer 2

50% of 320 is equal to 80% of 200

Step-by-step explanation:

`\sf{50\% * 320}`

`\sf{ = (50)/(100) * 320 }`

`\sf{ = (16000)/(100) }`

`= \sf{160}`

-

`\sf{160 / 80\%}`

`\sf{ = 160 / (80)/(100) }`

`\sf{ =\cancel{ 160} * \frac{100}{\cancel{80}} }`

`\sf{ = 2 * 100}`

`= \boxed{\sf{\underline{\purple{200}}}}`