Subject

    Quantitative Aptitude

    Topic

    Interest

    A sum of money becomes eigth times in 3 years if the rate is compounded annually. In how much time, the same amount at the same compound interest rate will become sixteen times?

    ক)
    6 years
    খ)
    4 years
    গ)
    8 years
    ঘ)
    5 years
    ঙ)
    None of these

    Explanation

    Let P is the principal amount. Then, amount received at the end of three years = 8P According to the given condition, ⇒8P=P(1+r100)3  \Rightarrow 8P = P{\left( {1 + \frac{r}{{100}}} \right)^3}\; ⇒8P=P(1+r100)3  \Rightarrow 8P = P{\left( {1 + \frac{r}{{100}}} \right)^3}\; ⇒ 2 = 1 + r/100 ⇒ R = 100 % Now, to get amount as 16 times of the principal, ⇒16P=P(1+100100)t\Rightarrow 16P = P{\left( {1 + \frac{{100}}{{100}}} \right)^t} ⇒ T = 4 years.
    An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes-If an investor earns interest of Tk. 1 per day at an interest rate of 4(1/18)% per annum, what will be his total investment?What would be the compound interest obtained on an amount of Tk.6875 at the rate of 8% p.a. after two years?Mr. Khan invested an amount of Tk. 13,900 divided into two different schemes A and B at a simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest earned in 2 years be Tk. 3,508, what was the amount invested in Scheme B?A sum of money is borrowed and paid back in two annual instalments of tk. 882 each allowing 5% compound interst. The sum borrowed was:Ms. Champa borrowed Tk. 240, interest free, from her elder brother to pay for her college education. If she pays back 5% of the amount quarterly, and has already paid Tk. 42, for how many month has she been paying back her loan?In what time will Tk.4200 amount to Tk.88 at 16% compound interest payable half-yearly?If the compound interest on a sum for 2 years at 5% per annum is Tk. 510, the simple interest on the same sum at the same rate for the same period of time is:(বার্ষিক 5% হারে 2 বছরের জন্য যৌগিক সুদের টাকা হয় 510, একই সময় একই সময়ের জন্য একই হারে সাধারণ সুদের পরিমাণ হয় :)

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