Question

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 litres.​

Answer 1

Solutions:-

(a) Let the quantity be x

According to the question, 5% of x = 600

⇒ (5/100) × x = 600

⇒ x = 600 × (100/5) = 12000

(b) Let the quantity be x

According to the question, 12% of x = Rs. 1080

⇒ (12 × 100) × x = Rs. 1080

⇒ x = Rs. 1080 × (100/12) = Rs. 9000

(c) Let the quantity be x

According to the question, 40% of x = 500 Km

⇒ (40/100) × x = 500 Km

⇒ x = 500 × (100/40) = 1250 Km

(d) Let the quantity be x

According to the question, 70% of x = 14 min

⇒ x × (70/100) = 14 min

⇒ x = 14 × (100/70) = 20 min

(e) Let the quantity be x

According to the question, 8% of x = 40 L

⇒ x × (8/100) = 40 L

⇒ x = 40 × (100/8) = 500 L

Answer 2

(a) let whole quantity be x

A/q,

=> x × 5% = 600

=> x × 5/100 = 600

=> x = 600 × 100/5

=> x = 12000

(b) let whole quantity be x

A/q,

12 % × x = 1080

=> 12/100 ×x = 1080

=> x = 1080 × 100/12

=> x = Rs9000

(c) let whole quantity be x

A/q ,

40/100 × x = 500km

=> x = 500× 100/40

=> x = 1250km

(d) let whole quantity be x

A/q

70/100 × x = 14

=> x = 14 × 100/70

=> x = 20 minutes

(e) let whole quantity be x

A/q,

8/100 × x = 40 litre

=> x = 40 × 100/8 litre

=> x = 500 litres

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