A man sold two articles for Rs 460 making 10% profit on one and 20% on the other. if he had sold both the article at 15% profit the selling price would have been the same .At what price did he sell each?
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Answer:
Let the CP of 1st article be x.
So,SP of 1st article =x+
10
x
=
10
11x
.
And,SP of 2nd article =46−x+46−
5
x
=
5
6(46−x)
.
Therefore,SP of both articles =
10
11x
+
5
6(46−x)
=552−
10
x
.
If he sold the article of 15% profit,total SP=x+
100
15x
+46−x+
100(46−x)
15
=
10
529
.
Now,According to the question,552−
10
x
=
10
529
x=552−529=23.
Therefore,SP of each article =
10
11
∗
5
236
∗(46−23).
Amount=Rs25.3andRs.27.6.
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