Question

1. What percent is (a) Rs.63 of Rs.90 (b) 80 litres of 240 litres (c) 16 of 250 (d) 200 cm of 1 m (e) 1 dozen of one score

Answer 1

SOLUTION :-

(a) Rs.63 of Rs.90

Out of Rs 90, Rs 63 is written as

= $\frac{63}{90}$

Now,

Converting into percentage, we get,

= $\frac{63}{90} \times 100$

= 70%

$\therefore$ Rs 63 is 70% of RS 90

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(b) 80 litres of 240 litres

Out of 240 litres, 80 litres is written as

= $\frac{80}{240}$

Now,

Converting into percentage, we get,

= $\frac{80}{240} \times 100$

= 33.33%

$\therefore$ 80 litres is 33.33% of 240 litres

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(c) 16 of 250

Out of 250, 16 is written as

= $\frac{16}{250}$

Now,

Converting into percentage, we get,

= $\frac{16}{250} \times 100$

= 6.4%

$\therefore$ 16 is 6.4% of 250

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(d) 200 cm of 1 m

Out of 1m (100cm), 200cm is written as

= $\frac{200}{100}$

1m = 100cm

Now,

Converting into percentage, we get,

= $\frac{200}{100} \times 100$

= 200%

$\therefore$ 200cm is 200% of 100cm (1m)

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(e) 1 dozen of one score

Out of 1 score, 1 dozen is written as

= $\frac{12}{20}$

1 dozen = 12

1 score = 20

Now,

Converting into percentage, we get,

= $\frac{12}{20} \times 100$

= 60%

$\therefore$ 1 dozen is 60% of 1 score

Answer 2

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(a) What percent is Rs.63 of Rs.90

Rs 90 ---- 100%
Rs. 63 ---- x% (say)

Cross Multiply
63×100 = 90×x
x = $\frac{63×100}{90}$
x = $70$%

Therefore,
Rs. 63 is 70% of Rs. 90

Verification-
70% of 90
=> (70/100)× 90
= Rs. 63

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(b) What percent is 80 litres of 240 litres

240 litres ---- 100%
80 litres ------- x% (say)
Cross Multiply
240×x = 80× 100
x = $\frac{80×100}{240}$
x = $\frac{100}{3}$%
x = $33\frac{1}{3}$ %
x = 33.33%

Therefore,
80 litres is 33.3% of 240 litres

Verification-
(100/3)% of 240 litres
= (100/3)/100 × 240
= (1/3)× 240
= 80 litres

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(c) What percent is 16 of 250

250 ----- 100%
16 -------- x% (say)
Cross Multiply
250 × x = 16 × 100
10 × x = 16 × 4
x = $\frac{16×4}{10}$
x = $\frac{16×2}{5}$
x = $\frac{32}{5}$%
x = $6\frac{2}{5}$%

Therefore,
16 is 6.4% of 250

Verification -
(32/5)% of 250
= (32/5)/100 × 250
= (32/500)×250
= (32/2)
= 16

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(d) What percent is 200 cm of 1 m

We have,
Unit Conversion:
1 m = 100 cm

=> What percent is 200 cm of 100 cm
(or)
What percent is 2m of 1m

1 m ---- 100%
Multiply 2
2m ---- 2(100)% = 200%

Therefore,
2m is 200% of 1m
or
200 cm is 200% of 1m

Verification-
200% of 1m
= (200/100)× 1m
= 2m

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(e) What percent is 1 dozen of one score

We have,
1 Dozen = 12 Units (in number)
1 Score = 20 Units (in number)

=> What percent of 12 Units is 20 Units

20 Units ---- 100%
12 Units ------ x %(say)

Cross Multiply
20× x = 12× 100
x = 12 × 5
x = 60%

Therefore,
One Dozen is 60% of One Score

Verification-
60% of one score
= (60/100)×20 Units
= (60/5)
= 12 Units
= One Dozen

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