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
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B
Rs.3600
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C
Rs.5400
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D
Data inadequate
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E
None of these
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Solution
The correct option is B Data inadequate Let the sum be Rs. x, rate be R% p.a. and time be T years. Then [x×(R+2)×T100]−[x×R×T100]=108...(i) ⇒2×T=10800 And [xtimesR×(T+2)100]−[x×R×T100]=108 ...(ii) ⇒2×R=10800 Clearly from (i) and (ii) , we cannot find the value of x. So , the data is inadequate.