CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Rs.4,000 amount to Rs.5,000 in 8 years; in what time will Rs.2,100 amount to Rs.2,800 at the same rate ?


A
10 years and 8 months
loader
B
8 years and 5 months
loader
C
11 years and 9 months
loader
D
13 years and 5 months
loader

Solution

The correct option is A 10 years and 8 months

Simple Interest $$ S.I. = \dfrac {P\times R \times T}{100} $$ 

Given, 

Amount  $$A  =Rs\,\,  5000   $$ 


$$ P = Rs \,\, 4000 $$


$$ I = A - P = 5000 - 4000  = Rs \,\,1000 $$


$$ T  =  8 $$ years  

So, $$  1000 = \dfrac {4000  \times  R  \times 8}{100} $$ 


$$\Rightarrow  1000\times 100 = 32000\times R $$ 


$$ \Rightarrow R = 3.125 $$ %

Now, we need to find $$ T $$ when $$ A = Rs\,\,  2800 ; P = Rs.\,\,2100$$ 


$$ \Rightarrow I = 2800 - 2100 $$

        $$= Rs \,\, 700 $$ 


So, $$ Rs \,\, 700 = \dfrac {2100  \times  3.125  \times T}{100} $$


$$\Rightarrow   \,\, 700\times 100 = 6562.5 \times T $$


$$ \Rightarrow T = 10 \,\,years\,\,  8  \,\,months  $$


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image