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A wholesaler bought $120$ watches for $Rs . 30$ each. He sold $50 %$ of the watches for $Rs . 20$ each, one-third at $Rs . 40$ each and the rest for $Rs . 60$ . What was the wholesaler's approximate average profit per watch?

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3.3

1.1

4.4

2.2

answer is A.

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Detailed Solution

Given that a wholesaler bought

120

watches for

Rs . 30

each. He then sold

50 %

of the watches for

Rs . 20

each, one-third at

Rs . 40

each and the rest for

Rs . 60

.
C.P. of each watch

= Rs . 30

Number of watches

= 120

Total C.P.

= 30 \times 120

\Rightarrow

Total C.P.

= Rs . 3600

Wholesaler sold

50 %

(

60

watches) at

Rs . 20

S.P. of these

60

watches,

(S . P_{1}) = 60 \times 20

\Rightarrow (S . P_{1}) = Rs . 1200

{(\frac{1}{3})}^{rd}

120

watches(40 watches) are sold at

Rs . 40

S . P_{2} = 40 \times 40

\Rightarrow S . P_{2} = Rs 1600

Rest watches that are sold at

Rs . 60

are,
No. of watches =

120 - 60 - 40

\Rightarrow

No. of watches =20

S . P_{3} = 20 \times 60

\Rightarrow S . P_{3} = Rs 1200

Total S.P. =

S . P_{1}

S . P_{2}

S . P_{3}

\Rightarrow

Total S.P.

= 1200 + 1600 + 1200

\Rightarrow

Total S.P

= Rs . 4000

We know,
Profit

=

S.P.

-

C.P.

\Rightarrow

Profit

= 4000 - 3600

\Rightarrow

Profit

= Rs . 400

Average profit per watch

= \frac{400}{120}

\Rightarrow

Average profit per watch

= Rs . 3.3

Thus, average profit per watch is Rs.3.3.
Therefore, the correct option is 1.

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