The total cost of a washing machine with a toaster was Rs 10500. The toaster was sold at a profit of 22% and the washing machine at a loss of 12%. If the sale price was the same for both items, then the cost price of the cheaper item was:
- ARs 4100
- BRs 3250
- CRs 7100
- DRs 4400
Solution & Step-by-step Explanation
Let the cost price of the toaster be T and the washing machine be W.
Given:
T+W=10500
The selling price (SP) of both items is equal:
SP of Toaster=1.22T
SP of Washing Machine=0.88W
1.22T=0.88W⟹
W
T
=
1.22
0.88
=
122
88
=
61
44
The ratio of their cost prices is T:W=44:61.
Total parts = 44+61=105 parts.
The cheaper item is the toaster (44 parts):
Cost Price of Toaster=
105
44
×10500=44×100=Rs 4400
Given:
T+W=10500
The selling price (SP) of both items is equal:
SP of Toaster=1.22T
SP of Washing Machine=0.88W
1.22T=0.88W⟹
W
T
=
1.22
0.88
=
122
88
=
61
44
The ratio of their cost prices is T:W=44:61.
Total parts = 44+61=105 parts.
The cheaper item is the toaster (44 parts):
Cost Price of Toaster=
105
44
×10500=44×100=Rs 4400