Solution -
Let,
The total number of goods = 100x
C.P. of 1 good = 10
60% goods are sold at 5% loss.
C.P. of 60 goods = 60x × 10
= 600x
S.P. of 60 goods = 600x × 0.95
= 570x
Rest (40x goods) are sold at 10% profit.
C.P. of 40x goods = 40x × 10
= 400x
S.P. of 40 goods = 400x × 1.10
= 440x
Total C.P. = 600x + 400x
=1000x
Total S.P. = 570x + 440x
= 1010x
There is a total profit of Rs. 100.
S.P. - C.P. = 100
1010x - 1000x = 100
10x = 100
x = 10
Thus,
Total C.P. = 1000x
C.P. = 1000 × 10
= 10,000
Therefore,
The worth of goods sold is Rs. 10,000.
Hence,
The correct answer is option (c) 10,000.
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