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Question:

Lucky spends 85% of her income. If her expenditure increases by x %, savings increase by 60% and income increases by 26%, then what is the value of x ?

Explanation:

Let the income of Lucky = 100L

Lucky spends 85% of her income.

Expenditure of Lucky = $\frac{85}{100}$ × 100L = 85L

Savings of Lucky = 100L - 85L = 15L

According to the problem,

[100L + $\frac{26}{100}$ × 100L] = [15L + $\frac{60}{100}$ × 15L] + [85L + $\frac{\text{x}}{100}$ × 85L]
126L = 24L + 85L + $\frac{x}{100}$ × 85L
126L = 109L + $\frac{x}{100}$ × 85L
17L = $\frac{x}{100}$ × 85L
x = 20

Hence, the correct answer is Option C