Question

If the difference between 75percent of a number and 60percent of the same number is 82.5 then find 20percent of that number​

Answer 1

Step-by-step explanation:

Assume that, the

20

%

20% of the number is

a

a.

Given that, the difference between

75

%

75% of a number and

60

%

60% of the same number is

82.5

82.5.

That is

75

%

a

−

60

%

a

=

82.5

75%a−60%a=82.5.

Let us find the number

a

a:

75

%

a

−

60

%

a

=

82.5

75

100

a

−

60

100

=

82.5

15

100

a

=

82.5

15

a

=

82.5

×

100

15

a

=

8250

a

=

8250

15

∴

a

=

550

75%a−60%a=82.575100a−60100=82.515100a=82.515a=82.5×10015a=8250a=825015∴a=550

Therefore, the number is 550

550.

Finding the 20%

20% of the number:

x=20%×550=20

100×550=15×550

∴

x=110

x=20%×550=20100×550=15×550∴x=110

Hence,20% of number = 110.