Question

if Marked price is 800( for all) sp of
(B+ D)=sp of (A+C) and ratio discount
between B and C= 9:7, Discount on A and
D is 20% and 16% respectivey •Profit %
of c = 50/3%. Find the cost price
of 'C'​

Answer 1

Step-by-step explanation:

Marked price of A= Marked price of B= Marked price of C = Marked price for D= ₹ 800

Let the discount on B be 9x% and the discount on C be 7x%

SP of B=₹(9x/100×800)=₹ 72x

SP of C=₹(7x/100×800)=₹ 56x

Discount on A=20%

SP of A=₹(20/100×800)=₹160

SP of D=₹(16/100×800)=₹128

ATQ,

SP.of (B+D)=SP of (A+C)

=>72x+128=56x+160

=>16x=32

=>x=2

SP of C=₹(56×2)=₹112

Profit % of C=50/3%

CP of C=100/(100+profit %)×SP=₹{100/(100+50/3)×112}=₹(300/350×112)=₹(6/7×112)=₹96____(ans)