A sold an article to B at 10% loss, B sold it to C at 15% profit and C sold it to D at 10% profit. If D bought it for Rs. 4,554, then what was the cost price (in Rs.) of A?
- ARs. 3,960
- BRs. 4,000
- CRs. 3,920
- DRs. 4,200
Solution & Step-by-step Explanation
Let the cost price of the article for A be Rs. x.
A sells to B at a 10% loss ⟹Price=x×
100
90
B sells to C at a 15% profit ⟹Price=x×
100
90
×
100
115
C sells to D at a 10% profit ⟹Price=x×
100
90
×
100
115
×
100
110
Given that D paid Rs. 4,554:
x×
10
9
×
20
23
×
10
11
=4554
x×
2000
2277
=4554
x=
2277
4554×2000
Since 4554=2277×2:
x=2×2000=4000
Therefore, the cost price for A was Rs. 4,000.
A sells to B at a 10% loss ⟹Price=x×
100
90
B sells to C at a 15% profit ⟹Price=x×
100
90
×
100
115
C sells to D at a 10% profit ⟹Price=x×
100
90
×
100
115
×
100
110
Given that D paid Rs. 4,554:
x×
10
9
×
20
23
×
10
11
=4554
x×
2000
2277
=4554
x=
2277
4554×2000
Since 4554=2277×2:
x=2×2000=4000
Therefore, the cost price for A was Rs. 4,000.