Question

-Write an equation and solve

23% more than a number is 615

32% of a number is 256

15% less than a number is 493

Answer 1

500

800

580

Explanation:

Let us see how to convert % into decimals.

n%=n/100

Let the number be n

HENCE

i) 23% more than a number is 615

23% more than n

23% of n = 23n/100= 0.23n

Hence

n+0.23n=1.23n

1.23n=615

n=615/1.23

n=500

ii)

32% of a number is 256

Let the number be x

32% of x = 32x/100 =0.32x

0.32x=256

x=256/0.32=800

iii)

15% less than a number is 493

15% more than a number is 493

15% more than n

15% of n = 15n/100= 0.15n

Hence

n-0.15n=1.15n

0.85n=493

n=493/0.85

n=580