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 = $\frac{R s . 70 - R s . 50}{R s . 50} \times 100$ $frac {Rs. 70 - Rs. 50}{Rs. 50}times 100$

Profit percent = $\frac{R s . 20}{R s . 50} \times 100$ $frac {Rs. 20}{Rs. 50}times 100$

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 = $\frac{R s . 1540 - R s . 1386}{R s . 1540} \times 100$ $frac {Rs. 1540 - Rs. 1386}{Rs. 1540}times 100$

Loss percent = $\frac{R s . 154}{R s . 1540} \times 100$ $frac {Rs. 154}{Rs. 1540}times 100$

Loss percent = 10% -----------Ans.

(iii) CP = Rs. 125, Profit = Rs. 20

Solution:

Profit percent general formula is

Profit percent = $\frac{R s . 20}{R s . 125} \times 100$ $frac {Rs. 20}{Rs. 125}times 100$

Profit percent = 16% -----------Ans.

(iv) CP = Rs. 12.5, Loss = Rs. 2.5

Solution:

Loss percent general formula is

Loss percent = $\frac{R s . 2.5}{R s . 12.5} \times 100$ $frac {Rs. 2.5}{Rs. 12.5}times 100$

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 = $\frac{R s . 50 - R s . 45}{R s . 50} \times 100$ $frac {Rs. 50 - Rs. 45}{Rs. 50}times 100$

Loss percent = $\frac{R s . 5}{R s . 50} \times 100$ $frac {Rs. 5}{Rs. 50}times 100$

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 = $\frac{R s . 15900 - R s . 15000}{R s . 15000} \times 100$ $frac {Rs. 15900 - Rs. 15000}{Rs. 15000}times 100$

Profit percent = $\frac{R s . 900}{R s . 15000} \times 100$ $frac {Rs. 900}{Rs. 15000}times 100$

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 = $\frac{R s . 150}{R s . 2500} \times 100$ $frac {Rs. 150}{Rs. 2500}times 100$

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 = $\frac{R s . 100 - R s . 480}{R s . 100} \times 100$ $frac {Rs. 100 - Rs. 480}{Rs. 100}times 100$

Loss percent = $\frac{R s . 20}{R s . 100} \times 100$ $frac {Rs. 20}{Rs. 100}times 100$

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 = $\frac{R s . 500}{R s . 3000} \times 100$ $frac {Rs. 500}{Rs. 3000}times 100$

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 = $\frac{R s . 150, 000 - R s . 125, 000}{R s . 125, 000} \times 100$ $frac {Rs. 150,000 - Rs. 125,000}{Rs. 125,000}times 100$

Profit percent = $\frac{R s . 25, 000}{R s . 125, 000} \times 100$ $frac {Rs. 25,000}{Rs. 125,000}times 100$

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 = $\frac{R s . 200}{R s . 1, 000} \times 100$ $frac {Rs. 200}{Rs. 1,000}times 100$

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 = $\frac{R s . 28 - R s . 20}{R s . 20} \times 100$ $frac {Rs. 28 - Rs. 20}{Rs. 20}times 100$

Profit percent = $\frac{R s . 8}{R s . 20} \times 100$ $frac {Rs. 8}{Rs. 20}times 100$

Profit percent = 40% -----------Ans.1

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

Profit percent = $\frac{R s . 28 - R s . 25}{R s . 25} \times 100$ $frac {Rs. 28 - Rs. 25}{Rs. 25}times 100$

Profit percent = $\frac{R s . 3}{R s . 25} \times 100$ $frac {Rs. 3}{Rs. 25}times 100$

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 =

\frac{5}{100} \times R s . 500

$frac {5}{100}times Rs. 500$ = Rs. 25

Since

Profit = S.P - C.P

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 = $\frac{10}{100} \times R s . 300$ $frac {10}{100}times Rs. 300$ = 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 =

\frac{6}{100} \times R s . 48, 000

$frac {6}{100}times Rs. 48,000$ = Rs. 2,880

Since

Profit = S.P - C.P

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

S.P = Rs. 50,880 ------Ans.

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Shortcut links for:

1. Real Life Word Problems on Financial Mathematics, Property Tax, General Sale Tax (GST), Zakat, Ushr, Profit and Loss, Markup, Percentage, Proportion.

2. 5th class Notes: English, Social Study (S.St.), General Science (G.Sc.), Urdu (اُردو), Islamiat (اسلامیات), Mathematics

3. 6th class Notes: Mathematics

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