Question

A radio is sold at a gain of 16%. If it had
been sold for 20 more, 20% would have
been gained. The cost price of the radio is
(a) 420 (b) 410 (c) 485 (d) 500

please give detailed explanation try to solve it with formula if there​

Answer 1

Answer:

Let SP be 'x'

100+x

1

SP

1

=

100+x

2

SP

2

100+16

x

=

100+20

x+20

116

x

=

120

x+20

x = Rs. 580

we have

CP =

100+x

100×SP

=

100+16

100×580

= Rs. 500

Answer 2

20% - 16% = 4%

4% of radio = $20

100% of radio(aka the cost price) = $20 ÷ 4%  = $500

Answer: d