Question

17. 40% of (100 - 20% of 300) is equal to
(a) 16
(b) 20
(c) 64
(d) 140

with full solution​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Correct option (a) 16

Step by step explanation

1. First we solve values inside brackets.
2. Then we will expand means remove the brackets.
3. After removing of brackets we will evaluate as a whole.

Note:% means taking 100 as denominator and of means multiply.

$\sf \longmapsto40\%\: of \: (100 - 20 \: of \: 300)$

$\sf \longmapsto \dfrac{40}{100}\times(100 - \dfrac{20}{1{ \cancel{00}}} \times 3{ \cancel{00}})$

$\sf \longmapsto \dfrac{40}{100} \times (100 - 60)$

$\sf \longmapsto \dfrac{40}{10{\cancel{0}}} \times 4{\cancel{0}}$

$\sf \longmapsto \dfrac{160}{10}$

=>here,160 gets cancelled by 10 or simply cancelled one zero.

$\sf \bold{\red{= 16}}$