Question

1 person sold two necklaces for Rs 990 each and thus earned a 10% profit on one and incurred a 10% loss are considered tigather find her percentage profit or loss​

Answer 1

Answer:

In the case of first necklace

S.P. = Rs. 990

Gain = 10%

C.P. = 100/(100 + gain%) × S.P.

= 100/(100 + 10) × Rs. 990 = Rs. 100/110 × 990

= Rs. 100 × 9 = Rs. 900

In the case of second tape – recorder :

S.P. = Rs. 990

Loss = 10%

C.P. = 100/(100 – Loss%) × S.P.

= 100/ (100 – 10) × Rs. 990 = 100/90 × 990

= 100 × 11 = Rs. 1100

Total C.P. of both the tape–recorders

= Rs. 900 + Rs. 1100 = Rs. 2000

Total S.P. of both the tape–recorders

= Rs. 990 + Rs. 990 = Rs. 1980

Loss on the whole transaction

= C.P. – S.P. = Rs. 2000 – Rs. 1980

= Rs. 20

Loss % = Loss/C.P. × 100

= Rs. 20/Rs. 2000 × 100 = 2/2 % = 1%

hope it will help you.