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?
- ARs 2548
- BRs 2450
- CRs 3123
- DRs 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:
X×
100
136
×
4
3
=2499
X×
100
34
×3=2499
X×
100
102
=2499
X=
102
2499×100
X=24.5×100=2450
Thus, the cost price for the wholesaler was Rs 2450.
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:
X×
100
136
×
4
3
=2499
X×
100
34
×3=2499
X×
100
102
=2499
X=
102
2499×100
X=24.5×100=2450
Thus, the cost price for the wholesaler was Rs 2450.