Ankita sold three toys. The first toy was sold for ₹1,500 at a profit of 25%; the second toy was sold for ₹2,800 at a loss of 50% and the third toy was sold for ₹3,500 at a profit of 25%. Find her total profit or loss percentage.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 18.75% loss.
Case I -
⇒ S.P. = Rs. 1500, P% = 25%
⇒ C.P. = 1500 × 100/(100 + 25)
⇒ C.P. = 1500 × 100/125 = Rs. 1200
Case II-
⇒ S.P. = Rs.2800, L% = 50%
⇒ C.P. = 2800 × 100/(100 - 50)
⇒ C.P. = 2800 × 100/50 = Rs. 5600
Case III-
⇒ S.P. = 3500, P% = 25%
⇒ C.P. = 3500 × 100/(100 + 25)
⇒ C.P. = 3500 × 100/125 = Rs. 2800
⇒ Total S.P. = 1500 + 2800 + 3500 = 7800
⇒ Total C.P. = 1200 + 5600 + 2800 = 9600
C.P. > S.P. = Loss
⇒ Loss% = (9600 - 7800)/9600 × 100
⇒ 1800/9600 × 100 = 18.75%