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A wholesaler sells a watch to a retailer at a gain of 36% and the retailer sells it to a customer at a loss of 25%. If the customer pays Rs 2499, what had it cost the wholesaler?

  1. A
    Rs 2548
  2. B
    Rs 2450
  3. C
    Rs 3123
  4. D
    Rs 2352

Solution & Step-by-step Explanation

Let the cost price for the wholesaler be Rs X.
The wholesaler sells it to the retailer at a profit of 36%, so the cost price for the retailer is:

CP
retailer

=X×(1+
100
36

)=X×
100
136


The retailer sells it to the customer at a loss of 25%, so the selling price for the retailer (which is the price paid by the customer) is:

SP
retailer

=X×
100
136

×(1−
100
25

)=X×
100
136

×
100
75


Given that the customer pays Rs 2499:


100
136

×
4
3

=2499

100
34

×3=2499

100
102

=2499
X=
102
2499×100


X=24.5×100=2450
Thus, the cost price for the wholesaler was Rs 2450.

Practice this question

Try it yourself before checking the explanation above.

A wholesaler sells a watch to a retailer at a gain of 36% and the retailer sells it to a customer at a loss of 25%. If the customer pays Rs 2499, what had it cost the wholesaler?
A
Rs 2548
B
Rs 2450
C
Rs 3123
D
Rs 2352

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