A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?
- ARs 950
- BRs 1149
- CRs 1244
- DRs 751
Solution & Step-by-step Explanation
Let the cost price for the wholesaler be Rs x.
The wholesaler sells it at a 25% profit, so the selling price to the retailer is:
x×(1+
100
25
)=x×
100
125
=x×
4
5
The retailer sells it to a customer at a 12% loss, so the final selling price is:
(x×
4
5
)×(1−
100
12
)=x×
4
5
×
100
88
Given that the customer pays Rs 1045:
x×
4
5
×
25
22
=1045
x×
100
110
=1045
x×1.1=1045
x=
1.1
1045
=950
Thus, it cost the wholesaler Rs 950.
The wholesaler sells it at a 25% profit, so the selling price to the retailer is:
x×(1+
100
25
)=x×
100
125
=x×
4
5
The retailer sells it to a customer at a 12% loss, so the final selling price is:
(x×
4
5
)×(1−
100
12
)=x×
4
5
×
100
88
Given that the customer pays Rs 1045:
x×
4
5
×
25
22
=1045
x×
100
110
=1045
x×1.1=1045
x=
1.1
1045
=950
Thus, it cost the wholesaler Rs 950.