Question

1. Express 12% in decimal form:
2. Evaluate 20% of 400
3. If 20% of x is 25, then find x.
4. Find the ratio of:
(a) 5 km to 400 m
5. A machine costs ₹ 7500. Its value decreases by 5% every year due to usage. What
will be its price after one year?
6. What sum of money lent out at 12 per cent p.a. simple interest would produce ₹ 9000
as interest in 2 years?
7. The cost of an object is increased by 12%. If the current cost is ₹ 896, what was its
original cost?
8. A man whose income is ₹ 57,600 decreased to ₹ 43,200 in year. What percentage
of his income decreased?

Answer 1

Answer:

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Step-by-step explanation:

1. Express 12% in decimal form:

$\frac{12}{100} = \frac{3}{25}$

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2. Evaluate 20% of 400

$\frac{20}{100} \times 400 \\ \\\frac{20}{1\cancel0\cancel0} \times 4\cancel0\cancel0 \\ \\ 20 \times 4 \\ \\ 80$

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3. If 20% of x is 25, then find x.

$\frac{20}{100} \times x = 25 \\ \\ x = \frac{25 \times 100}{20} \\ \\ x = \frac{25 \times \cancel{100} \: \: {}^{5} } {\cancel{20} \: \: {}^{1} } \\ \\ x = 25 \times 5 \\ \\ x = 125$

Answer 2

Answer:

1. 12% = 12/100 = 3/25

2. 80

3. x = 125

4. 25:1