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 :
Answer: Option D
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Let the sum be Rs. `x` , rate be R% p.a. and time be T years.
Then ,`[(x xx (R + 2) xx )/(100)] - ((x xx R xx T)/(100)) = 108` `hArr 2xT = 10800`................................(i)
And ,` [(x xx R xx (T + 2))/(100)] - ((x xx R xx T)/(100)) = 180 ` `hArr 2xT = 18000.`.................................(ii)
Clearly , from (i) and (ii) , we cannot find the value of `x`
So, he data is inadequate.
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