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Question

What percentage is

(i) Rs 15 of Rs 120?
(ii) 36 minutes of 2 hours?
(iii) 8 hours of 2 days
(iv) 160 metres of 4 km?
(v) 175 mL of 1 litre?
(vi) 25 paise of Rs 4?

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Solution

(i) Let x% of Rs 120 be Rs 15.
Then, Rs x100×120 = Rs 15
6x5 = 15
∴ x = 15×56% = 252% = 12.5%
Hence, 12.5% of Rs 120 is Rs 15.

(ii) Let x% of 2 h be 36 min.
Then, x100×2×60 min = 36 min
120x100 = 36
∴ x = 36×100120% = 30%
Hence, 30% of 2 h is 36 min.

(iii) Let x% of 2 days be 8 h.
Then, x100×2×24 h = 8 h
48x100 = 8
∴ x = 8×10048% = 1623%
Hence, 1623% of 2 days is 8 h.

(iv) Let x% of 4 km be 160 m.
Then, x100×4×1000 m = 160 m
⇒ 40x = 160
∴ x = 16040% = 4%
Hence, 4% of 4 km is 160 m.

(v) Let x% of 1 L be 175 mL.
Then, x100×1×1000 mL = 175 mL
⇒ 10x = 175
∴ x = 17510% = 17.5%
Hence, 17.5% of 1 L is 175 mL.

(vi) Let x% of Rs 4 be 25 paise.
Then, x100×4×100 paise = 25 paise
⇒ 4x = 25
∴ x = 254% = 614%
Hence, 614% of Rs 4 is 25 paise.

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