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Class 6 Mathematics Notes , Exercise 7.2, Unit-7, Financial Arithmetic, National Book Foundation as Federal Text Board Islamabad


EXERCISE 7.2 

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1. Find the profit or loss percentage in the following cases:

(i) CP = Rs. 50,  S.P = Rs. 70


Solution: 

As S.P is greater than C.P, there is a profit and profit percent general formula is




Profit percent = Rs. 70-Rs.50Rs. 50×100 

Profit percent = Rs. 20Rs. 50×100 

Profit percent = 40% -----------Ans.


(ii) CP = Rs. 1540,  S.P = Rs. 1386



Solution: 

As S.P is smaller than C.P, there is a loss and loss percent general formula is










Loss percent = Rs.1540-Rs.1386Rs.1540×100

Loss percent = Rs.154Rs.1540×100 

Loss percent = 10% -----------Ans.


(iii) CP = Rs. 125,  Profit = Rs. 20



Solution: 

Profit percent general formula is




Profit percent Rs. 20Rs. 125×100 

Profit percent = 16% -----------Ans.


(iv) CP = Rs. 12.5,  Loss = Rs. 2.5



Solution: 

Loss percent general formula is










Loss percent = Rs.2.5Rs.12.5×100

Loss percent = 20% -----------Ans.


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2. A bag costing Rs. 50 is sold for Rs. 45. Find profit or loss percent.


Solution: 


Cost price C.P = Rs. 50

Sale price S.P = Rs. 45

As S.P is smaller than C.P, there is a loss and loss percent general formula is










Loss percent = Rs.50-Rs.45Rs.50×100

Loss percent = Rs.5Rs.50×100

Loss percent = 10% -----------Ans.



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3. Sonia bought a computer for Rs. 15000 and sold it for Rs. 15900. Find profit or loss percent.


Solution: 


Cost price C.P = Rs. 15000

Sale price S.P = Rs. 15900

As S.P is greater than C.P, there is a profit and profit percent general formula is




Profit percent = Rs.15900-Rs.15000Rs.15000×100

Profit percent = Rs.900Rs.15000×100

Profit percent = 6% -----------Ans.


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4. There was a loss of Rs. 150 when an item was sold for Rs. 2350. Find C.P and loss percent. 


Solution: 

Loss = Rs. 150

Sale price S.P = Rs. 2350

We know that 

Loss = C.P - S.P

so

C.P = Loss + S.p = Rs. 150 + Rs. 2350 

C.P = Rs. 2500 --------------Ans. 1



Loss percent general formula is










Loss percent = Rs.150Rs.2500×100 

Loss percent = 6% -----------Ans.2



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5. Farooq bought 100 wedding cards for Rs. 500. He sold them for Rs. 480. Find profit or loss percent.



Solution: 


Cost price C.P = Rs. 100

Sale price S.P = Rs. 480

As S.P is smaller than C.P, there is a loss and loss percent general formula is










Loss percent = Rs.100-Rs.480Rs.100×100

Loss percent = Rs.20Rs.100×100

Loss percent = 20% -----------Ans.



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6. Hassan sold a fan for Rs. 2500 and had a loss of Rs. 500. Find C.P and loss percent.


Solution: 


Sale price S.P = Rs. 2500

Loss = Rs. 500

Since Profit or Loss Percent whichever is to be determined, is found on C.P. So we will fined C.P first.

Loss = C.P - S.P

so

C.P = Loss + S.p = Rs. 500 + Rs. 2500 

C.P = Rs. 3000 ------Ans.1



Loss percent general formula is










Loss percent = Rs.500Rs.3000×100

Loss percent = 16.67% -----------Ans.2


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7. Nawaz father bought two plots for Rs. 125000. He sold them for Rs. 150,000. Find profit percent.


Solution: 


Cost price C.P = Rs. 125,000

Sale price S.P = Rs. 150,000

As S.P is greater than C.P, there is a profit and profit percent general formula is






Profit percent = Rs.150,000-Rs.125,000Rs.125,000×100

Profit percent = Rs.25,000Rs.125,000×100

Profit percent = 20% -----------Ans.



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8. Kanwal bought an iron for Rs. 1000 and got a profit of Rs. 200. Find profit percent and sale price. 


Solution: 


Cost price C.P = Rs. 1,000

Profit = Rs. 200

Since profit percent general formula is





Profit percent = Rs.200Rs.1,000×100

Profit percent = 20% -----------Ans.1


Since 

Profit = S.P - C.P

so

S.P = Profit + C.P = Rs. 200 + Rs. 1,000 

S.P = Rs. 12000 ------Ans.2




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9. Which profit is better?

(i) C.P = Rs. 20, S.P = Rs. 23 (ii) C.P = Rs. 25, S.P = Rs. 28


Solution: 

Formula for profit percent





(i) C.P = Rs. 20, S.P = Rs. 23


Solution: 


Profit percent = Rs.28-Rs.20Rs.20×100

Profit percent = Rs.8Rs.20×100

Profit percent = 40% -----------Ans.1

 

(ii) C.P = Rs. 25, S.P = Rs. 28


Profit percent = Rs.28-Rs.25Rs.25×100

Profit percent = Rs. 3Rs.25×100 

Profit percent = 12% -----------Ans.2



Thus, the profit of option (i) is better.



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10. Find sale price if

(1) C.P = Rs. 500, profit = 5% 


Solution: 

C.P = Rs. 500

Profit = 5%

Since profit or loss is determined on C.P, so

Profit =5% of Rs. 500 = 5100×Rs.500 = Rs. 25

Since

Profit = S.P - C.P

so

S.P = Profit + C.P = Rs. 25 + Rs. 500 

S.P = Rs. 525 ------Ans.


(ii) C.P = Rs. 300, loss = 10%


Solution: 

C.P = Rs. 300

Loss = 10%

Since profit or loss is determined on C.P, so

Loss = 10% of Rs. 300 = 10100×Rs.300 = Rs. 30

Since

Loss = C.P - S.P

so

S.P =  C.P - Loss =  Rs. 300 - Rs. 50

S.P = Rs. 250 ------Ans.


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11. A motorcycle was bought for Rs. 48,000 and was sold at a profit of 6%. Find sale price.


Solution: 

C.P = Rs. 48,000

Profit = 6%

Since profit or loss is determined on C.P, so

Profit =6% of Rs. 48,000 = 6100×Rs.48,000 = Rs. 2,880


Since

Profit = S.P - C.P

so

S.P = Profit + C.P = Rs. 2,880 + Rs. 48,000 

S.P = Rs. 50,880 ------Ans.

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3. 6th class Notes: Mathematics


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