Practice the questions given in the worksheet on percentage of a number.

We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = \(\frac{x}{100}\) × a

**1. Find the
following:**

(i) 22 % of 140

(ii) 25 % of $ 750

(iii) 16.5 % of 5000 kg

(iv) 2(v) 0.4 % of 8 km

(vi) 120 % of 1000

(vii) 12 % of 360 m

(ix) 0.8 % of 250 g

(x) \(\frac{3}{4}\) % of $ 780

(xi) 12 % of 620

(xii) 1.25 % of 1250 mg

(xiv) \(\frac{3}{5}\) % of 725 cm

(xv) 3**2. Find the value of the following:**

(i) 5% of 30 m

(ii) 12% of $800

(iii) 10% of 70 km

(iv) 4.5% of 250 g

(v) 30% of $200

(vi) 12% of 100 kg

(vii) 125% of 16 l

(viii) 8% of 150 cm

(ix) 8% of 1 kg

(x) 25% of $350

**3.** What is 5 % of
$ 1400?

**4.** What is 7 % of
$ 7150?

**5.** What is 40 %
of 400 kg?

**6. Which is greater? Put >, < or = sign.**

(i) 15% of 70 m …………. 25% of 60 m

(ii) 8% of $500 …………. 5% of $1000

(iii) 50% of 1 kg …………. 20% of 2000 g

(iv) 15% of $250 …………. 40% of $150

**7.** How many
liters is 20 % of 15.125 liters?

**8.** In a public
show 75 % of seats were filled. If there
were 600 seats in the hall, how many seats were vacant?

**9.** A man earns
$3580 per month and spends 65 % of it. How much money does he save every month?

**10.** To clear his
stock a shopkeeper offers a discount of 15 %. Find the discount on goods worth
$500?

**11.** An alloy of
copper and zinc contains 45 % of copper and the rest is zinc. Find the weight
of the zinc in 2 kg of the alloy?

**12.** In an exam,
85 % of the children pass. Find the number of children who passed, if there
were 1700 children.

**13.** Sam bought an electric iron at a price 25% less than the
original price. If the original price of the iron is $2560, at what price did
Sam buy the electric iron?

**14.** Ron wants to buy a television. The shopkeeper agreed to
give Ron Television at a price less than the original price. So Ron Just had to
pay $45000 for the television with original price of $50000. What was the
percentage of discount given to Ron?

Answers for the worksheet on percentage of a number are given below to check the exact answers of the above questions.

**Answers:**

**1.** (i) 30.8

(ii) $ 187.50

(iii) 825 kg

(iv) 2 l

(v) 32 m

(vi) 1200

(vii) 43.2 m

(viii) 4/25 l

(ix) 2 g

(x) $ 5.85

(xi) 74.4

(xii) 15.625 mg

(xiii) $ 162.50

(xiv) 4 .35 cm

(xv) 3 km

**2.** (i) 1.5 m

(ii) $96

(iii) 7 km

(iv) 11.25 g

(v) $60

(vi) 12 kg

(vii) 20 l

(viii) 12 cm

(ix) 80 g

(x) $87.50

**3.** $ 70

**4.** $ 500.50

**5.** 160 kg

**6.** (i) <

(ii) <

(iii) >

(iv) <

**7.** 3.025 liters

**8.** 150 seats

**9.** $ 1253

**10.** $ 75

**11.** 1.1 kg

**12.** 1445

**13.** $1920

**14.**10%

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