Question

Plz solve these percentage sums step by step​

Answer 1

Answer:

(i) 480

(ii) 128kg

(iii) 1000cm

(iv) ₹250

(i) 19.54%

(ii) 8.57%

(iii) 40%

Step-by-step explanation:

(i) 45% of a no. is 216. Find the no.

$\frac{45}{100} \times x = 216 \\ 45x = 216 \times 100 \\ 45x = 21600 \\ x = \frac{21600}{45} \\ x = 480$

(ii) if 12½% of a weight is 16kg. Find the weight.

$\frac{25 \div 2}{100} \times x = 16 \\ \frac{12.5}{100} \times x = 16 \\ 12.5x = 16 \times 100 \\ 12.5x = 1600 \\ x = \frac{1600}{12.5} \\ x = 128kg$

(iii) If 24.5% of a length is 2m 45cm. What is the length.

$\frac{24.5}{100} \times x = 245cm \\24.5x = 245 \times100 \\ 24.5x = 24500 \\ x = \frac{24500| }{24.5} \\ x = 1000cm$

(iv) 6.5% of a sum of money is ₹16.25. Find the sum of money.

$\frac{6.5}{100} \times x = 16.25 \\ 6.5x = 16.25 \times 100 \\ 6.5x = 1625 \\ x = \: \frac{1625}{6.5} \\ x = 250$

(i) What percentage of 85 is 17?

$\frac{x}{100} \times 87 = 17 \\ 87x = 17 \times 100 \\ 87x = 1700 \\ x = \frac{1700}{87} \\ x = 19.54$

(ii) What percentage of ₹1400 is ₹120.

$\frac{x}{100} \times 1400 = 120 \\ 1400x = 120 \times 100 \\ 1400x = 12000 \\ x = \frac{12000}{1400} \\ x = 8.57$

(iii) What percentage of 45litres is 18 litres.

$\frac{x}{100} \times 45 = 18 \\ 45x = 18 \times 100 \\ 45x = 1800 \\ x = \frac{1800}{45} \\ x = 40$

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