1. A certain sum of money amount to Rs. 2200 at 5 % p.a. Rate of interest, Rs. 2320 at 8% interest in the same period of time. The period of time is:





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  • By: anil on 05 May 2019 02.28 am
    Let principal sum = Rs. $$100x$$ and time period = $$t$$ years Amount under simple interest = $$P+(frac{P imes R imes T}{100})$$ According to ques, => $$100x+(frac{100x imes 5 imes t}{100})=2200$$ => $$100x+5tx=2200$$ => $$x(20+t)=440$$ => $$x=frac{440}{(20+t)}$$ -------------(i) Similarly, $$100x+(frac{100x imes 8 imes t}{100})=2320$$ => $$100x+8tx=2320$$ => $$x(100+8t)=2320$$ => $$x=frac{2320}{(100+8t)}$$ -------------(ii) Comparing equations (i) and (ii), we get : => $$frac{440}{20+t}=frac{2320}{100+8t}$$ => $$4400+352t=4640+232t$$ => $$352t-232t=4640-4400$$ => $$120t=240$$ => $$t=frac{240}{120}=2$$ years => Ans - (D)
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