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At what rate, will a person who invests Rs. 2,000 will receive Rs.2, 090 as simple interest
in 9 months?
(a) 5%
By Ayla

At what rate, will a person who invests Rs. 2,000 will receive Rs.2, 090 as simple interest
in 9 months?
(a) 5%
(b)6%
(c) 10%
(d)None of these
​

About the author
Ayla

Ano ang inyong obserbasyon ukol sa mga panitikan/akda/panoorin NOON? May kaibahan ba sila sa mga panitikan NGAYON? Anu-ano ang mga

150. Out of the following which are
isoelectronic in nature ?
(i)
N2 (ii)
CO (ii) NO+
(iv) CN-
(A) (

1 thought on “<br />At what rate, will a person who invests Rs. 2,000 will receive Rs.2, 090 as simple interest<br />in 9 months?<br />(a) 5%<br”

  1. Given :

    Principle amount :- ₹2000

    Simple Interest :- ₹2090

    Time :- 9 months

    To find :

    The rate of interest applied to the person.

    Solution :

    As we know that, to calculate the rate of interest we are required with the time in years. But, in this question we are given in months. So, let’s convert it to years.

    [tex]{\sf \dashrightarrow 9 \: months = \dfrac{9}{12}}[/tex]

    [tex]{\sf \dashrightarrow \cancel \dfrac{9}{12} = \dfrac{3}{4}}[/tex]

    [tex]{\sf \dashrightarrow \dfrac{3}{4} = 0.75}[/tex]

    Now, let’s find the rate of interest.

    Rate of interest :

    [tex]{\sf \dashrightarrow \dfrac{SI \times 100}{P \times T}}[/tex]

    [tex]{\sf \dashrightarrow \dfrac{2090 \times 100}{2000 \times 0.75}}[/tex]

    [tex]{\sf \dashrightarrow \dfrac{2090 \times 1}{20 \times 0.75}}[/tex]

    [tex]{\sf \dashrightarrow \dfrac{104.5 \times 1}{1 \times 0.75}}[/tex]

    [tex]{\sf \dashrightarrow \dfrac{104.5}{0.75} = \dfrac{10450}{75}}[/tex]

    [tex]{\sf \dashrightarrow \cancel \dfrac{10450}{75} = 139.33}[/tex]

    Hence, the rate of interest is 139.33%.

    Thus, Option D – None of these, is correct answer.

    Reply

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