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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?

  1. A
    Rs. 3,960
  2. B
    Rs. 4,000
  3. C
    Rs. 3,920
  4. D
    Rs. 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:


10
9

×
20
23

×
10
11

=4554

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.

Practice this question

Try it yourself before checking the explanation above.

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?
A
Rs. 3,960
B
Rs. 4,000
C
Rs. 3,920
D
Rs. 4,200

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