Question

8. Find the whole quantity if:
a.5% of it is 600.
b.70% of it is 14 minutes.​

Answer 1

Q5) Find the whole quantity if:

(a) 5% of it is 600

(b) 12% of it is Rs. 1080

(c) 40% of it is 500 km

(d) 70% of it is 14 minutes

(e) 8% of it is 40 liters

Solution:

Let the whole quantity be x in the given question:

(a) 5% of x = 600 \Rightarrow\ \frac{5}{100}\times x=600⇒

100

5

×x=600

\Rightarrow\ x=\frac{600\times100}{5}=12000⇒ x=

5

600×100

=12000

(b) 12% of x= Rs. 1080 \Rightarrow\ \frac{12}{100}\times x=1080⇒

100

12

×x=1080

\Rightarrow\ x=\frac{1080\times100}{12}=Rs.\ 9000⇒ x=

12

1080×100

=Rs. 9000

(c) 40% of x = 500 km \Rightarrow\ \frac{40}{100}\times x=500⇒

100

40

×x=500

\Rightarrow\ x=\frac{500\times100}{40}=1250\ km⇒ x=

40

500×100

=1250 km

(d) 70% of x = 14 minutes \Rightarrow\ \frac{70}{100}\times x=14⇒

100

70

×x=14

\Rightarrow\ x=\frac{14\times100}{70}=20\⇒ x=

70

14×100

=20 minutes

(e) 8% of x = 40 liters \Rightarrow\ \frac{8}{100}\times x=40⇒

100

8

×x=40

\Rightarrow\ x=\frac{40\times100}{8}=500⇒ x=

8

40×100

=500 liters.

Step-by-step explanation:

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Answer 2

Answer:

a. Let the quantity be x

5% of x = 600

5x/100 = 600

x = 600×100/5

x = 12000

b. Let the whole quantity be x.

70% × x = 14 minutes

70/100 × x = 14 minutes

x = 14 × 70/100 minutes

x = 2 × 10 minutes

x = 20 minutes