Subject
Quantitative Aptitude
Topic
Interest
Kate has a sum of Rs. 14000 that she divided into two equal parts. She invested the first part in compound interest at 15% per annum rate of interest for two years. After two years, she withdrew the whole amount and invested it and second part in simple interest at 12% per annum rate of interest. How much money she will have after 4 years?
Kate has a sum of Rs. 14000 that she divided into two equal parts. She invested the first part in compound interest at 15% per annum rate of interest for two years. After two years, she withdrew the whole amount and invested it and second part in simple interest at 12% per annum rate of interest. How much money she will have after 4 years?
ক)
Rs. 18562.9খ)
Rs. 16729.5গ)
Rs. 19562.8ঘ)
Rs. 20067.2ঙ)
Rs. 20159.3Explanation
Two equal parts of Rs. 14000 will be Rs. 7000 and Rs. 7000. Kate invested the first part in compound interest at 15% per annum rate of interest for two years. We know, amount = Principal × Amount that Kate has after two years = 7000 + 7000 × = 7000 + (7000 × 1.3225) = 16257.5 After two years, she withdrew the whole amount and invested it and second part in simple interest at 12% per annum rate of interest. Simple interest = (Principal × Rate × Time)/100 Amount = Principal + Simple Interest Amount that Kate has after 4 years = 16257.5 + (16257.5 × 12 × 2)/100 = 16257.5 + 3901.8 = 20159.3 ∴ Kate will have Rs. 20159.3 after 4 years.Related questions
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