This year Rana will save certain amount of his income, and he will spend the rest. Next year Rana will have no income, but for each taka that he saves this year, he will have (1+r) taka available to spend. In terms of r, what fraction of his income should Rana save this year so that next year the amount available for his spending will be equal to half the amount that he spends this year?

Question

Accepted Answer

ঘ. 1/(2r+3)

ব্যাখ্যা: আয় $I$, সঞ্চয় $sI$, ব্যয় $(1-s)I$। পরের বছর খরচের জন্য থাকে $(1+r)sI$। শর্ত: $(1+r)sI=\frac12(1-s)I\Rightarrow 2(1+r)s=1-s\Rightarrow s(2r+3)=1\Rightarrow s=\frac{1}{2r+3}$।

**একই ধরনের প্রশ্ন:**
১. $(1+r)s=(1-s)$ হলে $s=?$
*উত্তর:* $\frac{1}{r+2}$

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