Question

64) A dealer ordinarily makes a profit of 16%. If his cost goes down by 20% and he decreases his price by 10%, what percent does he gain? a) 28.2% b) 30.50% c) 15% . d) 12% 1​

Answer 1

Answer:

b)30.50%

Step-by-step explanation:

Let C.P be x

Profit percentage=16%

Profit amount=16/100*x=16x/100

now S.P

S.P=C.P+profit

S.P=x+16x/100

= 116x/100

Now if cost goes down by 20%

C.P=x-20x/100

= 8x/10

Then he would decrease his price by 10%

S.P=116x/100-10/100*116x/100

= 1044x/1000

Now for the above case,

Profit amount= S.P-C.P

= 1044x/1000-8x/10

=244x/1000

Now,

Profit percentage= (Profit/C.P)*100

Profit percentage= {(244x/1000)/(8x/10)}*100

= 61/2=30.5%

Answer= b)30.5%