Question

39. A merchant gets a profit of 20% by allowing a dis-
count of 10%. Instead, if he allows a discount of 15%,
then what would be his loss or profit percentage?​

Answer 1

Answer:

13.33%

Step-by-step explanation:

firstly there is a profit of 20%

so

SP= 100+P ×CP

100

SP= 120/100 CP

SP=6/5CP ............(i)

secondly ther he allows a discount of 10%

so

SP= 100-d ×MP

100

SP=90/100MP

SP= 9/10MP .............(ii)

comparing eq i and ii we get

6/5CP= 9/10MP

fing relation of CP/MP =3/4

SO

let CP =3k and MP=4k

thirdly he allows a discount of 15%

so

new SP'= 100-15/100 ×MP

= 85/100 ×4k=17/5k

so profit percent is

SP'-CP/CP ×100

(17/5k - 3k)/3k ×100

17k-15k/15 ×100

40/3%

13.33%

so the merchant will be in a profit of 13.33%

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i hope it was helpful to u ol

thank you......