Question

What per cent of
(i) 24 is 6?
(ii) Rs 125 is Rs 10?
(iii) 4 km is 160 metres?
(iv) Rs 8 is 25 paise
(v) 2 days is 8 hours?
(vi) 1 litre is 175 ml?

Answer 1

Let the number be x.
(i) 24% of x = 6
⇒ (24/100) × x = 6
⇒ x = 600/24 = 25%

(ii) 125% of x = 10
⇒ (125/100) × x = 10
⇒ x = 1000/125 = 8%

(iii) 4 km = 4000 metres (1 km = 1000 m)
4000% of x = 160
⇒ (4000/100) ​× x = 160
⇒ x = 16000/4000 = 4%

(iv) Rs. 8 = 800 paise (Re. 1 = 100 paise)
800% of x = 25
⇒ (800/ 100) × x = 25
⇒ x = 2500/800 = 25/8 = 3.125%

(v) 2 days = 2 × 24 = 48 (1 day = 24 hours)
48% of x = 8
⇒ (48/100) × x = 8
⇒ x = 800/48 = 100/6 = 16.66%

(vi) 1 litre = 1000 ml
1000% of x = 175
⇒ (1000/100) × x = 175
⇒ x = 17500/1000 = 175/10 = 17.5%