Question

If the rate increases by $2\%$, the simple interest received on a sum of money increases by $Rs.108$. If the time period is increased by $2$ years, the simple interest on the same sum increases by $Rs.180$. The sum is

• A. $Rs.1800$
• B. $Rs.3600$
• C. $Rs.5400$
• D. Data inadequate
• E. None of these

Answer 1

Answer: (D)

Data inadequate

Let the sum be Rs. x, rate be R% p.a. and time be T years.
Then
$\left[\frac{x\times (R+2)\times T}{100}\right]-\left[\frac{x\times R\times T}{100}\right]=108$...(i)
$\Rightarrow 2\times T=10800$
And
$\left[\frac{xtimesR\times (T+2)}{100}\right]-\left[\frac{x\times R\times T}{100}\right]=108$ ...(ii)
$\Rightarrow 2\times R=10800$
Clearly from (i) and (ii) , we cannot find the value of x.
So , the data is inadequate.