Question 55

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 ?

Solution

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 + $$\frac{60}{100}\times$$15L] + [85L + $$\frac{\text{x}}{100}\times$$85L]

126L = 24L + 85L + $$\frac{\text{x}}{100}\times$$85L

126L = 109L + $$\frac{\text{x}}{100}\times$$85L

17L = $$\frac{\text{x}}{100}\times$$85L

x = 20

Hence, the correct answer is Option C


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