A sold an article to B at 25% profit, B sold it to C at a 12% loss. If C paid Rs. 1,815 for the article, how much (in Rs.) did A pay for the article?
- A1,500
- B1,650
- C1,600
- D1,560
Solution & Step-by-step Explanation
Let the amount A paid for the article be Rs. x.
A sells to B at 25% profit ⟹Price=x×
100
125
=
4
5
x
B sells to C at 12% loss ⟹Price=
4
5
x×
100
88
=
4
5
x×
25
22
=
10
11
x
Given that C paid Rs. 1,815:
10
11
x=1815
11x=18150
x=
11
18150
=1650
Therefore, A paid Rs. 1,650 for the article.
A sells to B at 25% profit ⟹Price=x×
100
125
=
4
5
x
B sells to C at 12% loss ⟹Price=
4
5
x×
100
88
=
4
5
x×
25
22
=
10
11
x
Given that C paid Rs. 1,815:
10
11
x=1815
11x=18150
x=
11
18150
=1650
Therefore, A paid Rs. 1,650 for the article.