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A trader purchases a watch and a wall clock for $ 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of $ 51.50. The difference between the original prices of the wall clock and the watch is equal to
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- $ 80
- $ 120
- $ 110
- $ 100
Correct Option: C
Given that , C.P. of a watch and a wall clock = $ 390.
If the C.P. of wrist watch be y, then
C.P. of wall clock = $ (390 – y)
From the question ,
| ∴ | + | = 51.50 | 100 | 100 |
⇒ 10y + 5850 – 15y = 5150
⇒ 5y = 5850 – 5150 = 700
| ⇒ y = | = $ 140 | 5 |
C.P. of wall clock = 390 – 140 = $ 250
∴ Required difference = 250 – 140 = $ 110
