A sum of Rs. 10 is lent to be returned in 11 monthly instalments of Rs. 1 each, interest being simple. The rate of interest is:

1 $9 \frac{1}{11}$ $9\frac{1}{{11}}$ %
210%
311%
4 $21 \frac{9}{11}$ $21\frac{9}{{11}}$ %

Answer:- 1

Explanation:-

Solution:

⇒ Rs. 10 + S.I. on Rs. 10 for 11 months
= Rs. 11 + S.I. on Rs. 1 for (1 + 2 + 3 + 4 + ........... + 10) months
⇒ Rs. 10 + S.I. on Rs. 1 for 110 months
= Rs. 11 + S.I. on Rs. 1 for 55 months
S.I. on Rs. 1 for 55 months = Rs. 1

\begin{aligned} ∴ Rate = (\frac{100 \times 12}{1 \times 55}) % \\ = 21 \frac{9}{11} % . \end{aligned}

$\eqalign{ & \therefore {\text{Rate}} = \left( {\frac{{100 \times 12}}{{1 \times 55}}} \right)\% \cr & = 21\frac{9}{{11}}\% . \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} ∴ Rate = (\frac{100 \times 12}{1 \times 55}) % \\ = 21 \frac{9}{11} % . \end{aligned}

$\eqalign{ & \therefore {\text{Rate}} = \left( {\frac{{100 \times 12}}{{1 \times 55}}} \right)\% \cr & = 21\frac{9}{{11}}\% . \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }