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If A's income is 30% less than B's , then how much percent is B's income more than A?

(1) \(42 \frac{6}{7} \%\)

(2) \(32 \frac{1}{10}\%\)

(3) 30%

(4) 40%

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Correct option is: (1) \(42 \frac{6}{7}\%\)

Let's assume B's income is x.

Since A's income is 30% less than B's income.

A's income = B's income - 30% of B's income

\(= x - \frac{30}{100} \times x\)

\(= x - 0.3x\)

\(= 0.7x\)

Difference = B's income - A's income

= x - 0.7x

= 0.3x

Percentage Increase \(=\frac{\text{Difference}}{ \text{A's Income}} \times 100\%\)

\(= \frac{0.3x}{0.7x} \times 100 \%\)

\(=\frac{3}{7} \times 100\%\)

\(= \frac{300}{7}\%\)

\(= 42 \frac{6}{7} \%\)

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