Peter sells two watches for Rs.198 each, gaining 20% on one and
losing 20% on other. Find the gain% or loss% on the whole.
Answers
Answer:
Gain% = 4.16%
Step-by-step explanation:
S.P. of each watch = Rs 198
Let C.P. of first watch = x
Gain in 1st watch = 20%
S.P. of 1st watch = x + 20% of x
= x + (0.2)x = (1.2)x
ATQ, (1.2)x = 198 => x = Rs 165
Let C.P. of 2nd watch = y
Loss in 2nd watch = 20%
S.P. of 2nd watch = y - 20% of y
= y - (0.2)y = (0.8)y
ATQ, (0.8)y = 198 => y = Rs 247.50
Net C.P. = Rs 198 X 2 = Rs 396
Net S.P. = 165 + 247.50 = Rs 412.50
S.P. > C.P. => GAIN
Net gain = S.P. - C.P. = 412.50 - 396 = Rs 16.50
Gain % = (Gain / C.P.) X 100% = (16.50 / 396) X 100 = 4.16%
Answer:
4%
Step-by-step explanation:
Total SP = 198×2 = 396
1st Watch
SP = 198
gain% = 20%
CP1 = 100/100+gain%×SP
= 100/100+20×198
= 100/120×198
= 165
2nd Watch
SP = 198
Loss% = 20%
CP2 = 100/100-loss%×SP
= 100/100-20×198
= 100/80×198
= 247.5
Total CP = 165+247.5
= 412.5
∵ as CP greater than SP
∴ Loss occured
Total Loss = Total CP - Total SP
= 412.5 - 396
= 16.6
Loss% = Loss/CP×100%
= 16.5/412.5×100%
= 4%