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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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Rs. 3.3

Rs. 4

Rs. 3.5

Rs. 6

answer is A.

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Detailed Solution

It is given that C.P. of each watch is

Rs 30

and number of watches is

120 .

Then he sold

50 %

for Rs. 20, one third at Rs. 40 and rest for Rs. 60.
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 are sold at

Rs 40

. Let their S.P. be

S . P_{2} .

S . P_{2} = 40 \times 40

\Rightarrow S . P_{2} = Rs 1600

Rest watches =

(120 - 60 - 40)

\Rightarrow

Rest watches

= 20

So, 20 watches are sold at

Rs 60 .

Let the S.P. be

S . P_{3} .

S . P_{3} = 20 \times 60

\Rightarrow S . P_{3} = Rs 1200

Total S.P.

= 1200 + 1600 + 1200

\Rightarrow

Total S.P.

= Rs 4000

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

So, average profit per watch is Rs. 3.3.
Hence, the correct option is 1.

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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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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?