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 ?
Let the income of Lucky = 100L
Lucky spends 85% of her income.
Expenditure of Lucky = $$\frac{85}{100}\times$$100L = 85L
Savings of Lucky = 100L - 85L = 15L
According to the problem,
[100L + $$\frac{26}{100}\times$$100L] = [15L +Â $$\frac{60}{100}\times$$15L] + [85L +Â $$\frac{\text{x}}{100}\times$$85L]
126L = 24L + 85L +Â $$\frac{\text{x}}{100}\times$$85L
126L = 109L +Â $$\frac{\text{x}}{100}\times$$85L
17L =Â $$\frac{\text{x}}{100}\times$$85L
x = 20
Hence, the correct answer is Option C
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