A and B purchase an article same price later on c purchase both article from A and B at Rs 240 each from A and B. But profit of A was P% while profit of B was q% .since B calculate his profit on SP .if c sells one of the article to Do of p%profit. What is CP for D . If q=41 2/3%
Answers
Answer:
Coast Price for D is Rs. 411.43
Step-by-step explanation:
Let Cost Price of Article that A & B purchased = x
A & B sell articles to C
Selling Price of each article = Rs. 240
A made p% profit on Cost Price.
B made q% profit on Selling Price.
C sell a article to D at p% profit.
q% = 41 2/3 %
According to the question,
41\frac{2}{3}=\frac{240-x}{240}\times10041
3
2
=
240
240−x
×100
\frac{125}{3}\times24=(240-x)10
3
125
×24=(240−x)10
240 - x = 100
x = 140
profit percentage of A , p% = \frac{240-100}{140}\times100=\frac{100\times10}{14}=71\frac{6}{14}
140
240−100
×100=
14
100×10
=71
14
6
%
SP for C = CP+\frac{\frac{1000}{14}}{100}\times CP=240+\frac{1000\times240}{1400}=240+\frac{1200}{7}=411.43CP+
100
14
1000
×CP=240+
1400
1000×240
=240+
7
1200
=411.43
Therefore, Coast Price for D is Rs. 411.43