60% goods are sold at 5% loss while rest are sold at 10% profit.

60% goods are sold at 5% loss while rest are sold at 10% profit.
Posted on 17-03-2023

Ques - 60% goods are sold at 5% loss while rest are sold at 10% profit. There is a total profit of Rs. 100, then the worth of goods sold is:

(a) 6000

(b) 5000

(c) 10000

(d) None of these

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.

Thank You