Find the profit % or loss %.a) A bicycle was purchased for 1,000 and s

1.	Find the profit % or loss %.a) A bicycle was purchased for 1,000 and sold for 1,200.b) A mobile phone was purchased for 4,200 and sold for 3,500.c) A second-hand car was purchased for 75,500 and 12,500 werespent on its repairs and it was sold for 1,10,000.(Please answer in brief but don't do too long)
Answer» $\sf{\underline{\huge{Solutions}}}$ a) $\sf{\underline{Given}}$ CP = 1000 SP = 1200 $\sf{\underline{To\:Find}}$ Gain or loss percentage. $\sf{\underline{Solution}}$ CP = Rs.1000 SP = Rs.1200 Here we can SEE that SP > CP. We know, When SP > CP there is a profit. Hence, $\sf{Profit = SP - CP}$ = $\sf{Profit = 1200 - 1000}$ = $\sf{Profit = Rs.200}$ Now, $\sf{Profit\% = \dfrac{Profit}{CP}\times100}$ = $\sf{Profit\% = \dfrac{200}{1000}\times 100}$ = $\sf{Profit\% = 20\%}$ _________________________________________ b) $\sf{\underline{Given}}$ CP = 4200 SP = 3500 $\sf{\underline{To\:Find}}$ Gain or loss percentage $\sf{\underline{Solution}}$ CP = Rs.4200 SP = Rs.3500 Here we can see CP > SP. We know, When CP > SP, there is a loss. Hence, $\sf{Loss = CP - SP}$ = $\sf{Loss = 4200 - 3500}$ = $\sf{Loss = 700}$ Now, $\sf{Loss\% = \dfrac{Loss}{CP}\times100}$ = $\sf{Loss\% = \dfrac{700}{4200}\times100}$ = $\sf{Loss\% = 16.7\%}$ _________________________________________ c) $\sf{\underline{Given}}$ CP = 75500 SPENT on repairs = 12500 SP = 110000 $\sf{\underline{To\:Find}}$ Gain or loss percentage. $\sf{\underline{Solution}}$ CP = Rs.75500 Spent on repairs = 12500 Total CP = CP of the car + Spent on repairs = Total CP = 75500 + 12500 = Total CP = Rs.88000 SP = Rs.110000 Here We can see that SP > CP We know, When SP > CP, there is a profit. Hence, $\sf{Profit = SP - CP}$ = $\sf{Profit = 110000 - 88000}$ = $\sf{Profit = 22000}$ Now, $\sf{Profit\% = \dfrac{Profit}{CP}\times100}$ = $\sf{Profit\% = \dfrac{22000}{88000}\times100}$ = $\sf{Profit\% = 25\%}$ _________________________________________ $\sf{\underline{Note:-}}$ Profit = SP - CP Loss = CP - SP $\sf{Loss\% = \dfrac{Loss}{CP}\times100}$ $\sf{Profit\% = \dfrac{Profit}{CP}\times100}$ When CP > SP, there is a loss When SP > CP, there is a gain (or profit)