Question : A businessman's earnings increased by 25% in one year but decreased by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs. 72,000. What is his present income?
Option 1: Rs. 10,000
Option 2: Rs. 80,000
Option 3: Rs. 40,000
Option 4: Rs. 54,000
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Correct Answer: Rs. 40,000
Solution : Let the present income be Rs. $x$ According to the question, $x × 1.25 × 0.96 × 1.25 × 0.96 × 1.25 = 72000$ ⇒ $x = \frac{72000}{1.25 × 0.96 × 1.25 × 0.96 × 1.25}$ ⇒ $x = \frac{72000}{1.2 × 1.2 × 1.25}$ ⇒ $x = \frac{72000}{1.8}$ ⇒ $x= 40,000$ Hence, the correct answer is Rs. 40,000.
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