Question : An investor invested his savings in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year, respectively. If the value of his investments after two years was Rs. 97,664, then how much had he invested (in Rs.)?
Option 1: 81,000
Option 2: 75,000
Option 3: 80,000
Option 4: 72,000
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Correct Answer: 80,000
Solution : Let the amount invested by the investor be Rs. $x$. Given: The value of his investments increased by 12% and 9% in the first year and the second year, respectively. P becomes P(1 + $\frac{R_1}{100}$)(1 + $\frac{R_2}{100}$) after 2 years where R1 and R2 are two successive percentage increase$⇒(1+\frac{9}{100})(1+\frac{12}{100})x = 97664$ $⇒1.2208x = 97664$ $⇒x = \frac{97664}{1.2208} = Rs.\; 80,000$ Hence, the correct answer is 80,000.
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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
Question : A and B have an annual average income of Rs. 80,000. B and C have an annual average income of Rs. 75,000. C and A have an annual average income of Rs. 78,000. The annual income of A is:
Option 1: Rs. 81,000
Option 2: Rs. 82,000
Option 3: Rs. 83,000
Option 4: Rs. 84,000
Question : Soham’s initial expenditure and savings were in the ratio of 5 : 3. His income increased by 25%. If his initial savings were Rs. 4,500, find his income (in Rs.) after the increment.
Option 1: 16,000
Option 2: 15,000
Option 3: 9,375
Option 4: 12,000
Question : Shiva’s monthly salary is Rs.75,000. He spends Rs.12,000 on household items, Rs.14,000 on LIC and mutual funds, Rs.15,000 on his children’s education, and keeps Rs.10,000 for miscellaneous expenses. His savings are Rs.21,000 per month and he donates the rest of the amount to an orphanage. The percentage of his income that he donates is:
Option 1: 3%
Option 2: 6%
Option 3: 8%
Option 4: 4%
Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?
Option 1: INR 75,000
Option 2: INR 78,000
Option 3: INR 72,000
Option 4: INR 81,000
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