Question

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 were
spent on its repairs and it was sold for 1,10,000.
(Please answer in brief but don't do too long)​

Answer 1

Answer:

Here is your answer.

hope it helps.

Answer 2

$\sf{\underline{\huge{Solutions}}}$

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)