Question 3

Two different discounts x% and y% are allowed on two items having same cost price and marked price. If $$P_1$$% and $$P_2$$% are respectively the profits on them, x - y =20 and $$P_2 - P_1$$ = 32, then the ratio of their cost price to their marked price is

Solution

Let say, cost price=c and marked price=m.

given that , x-y=20.

No, SP_1=m(1-x) and SP_2=m(1-y) .

So,P1 %= (SP_1/c)-1=((m/c)(1-x))-1.

and P2 %=(SP_2/c)-1=((m/c)(1-y))-1.

so,( P2-P1)

=((m/c)(1-y))-1-((m/c)(1-x))+1

=(m/c)(1-y-1+x)

=(m/c)(x-y).

=20m/c.

So,

20m/c=32.(given in question)

or,c/m=20/32

or,c/m=5/8.

So,c:m=5:8.

C is correct choice.

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