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Two different finance companies declare fixed annual rate of interest on the amounts invested with them by investors. The rate of interest offered by these companies may differ from year to year depending on the variation in the economy of the country and the banks rate of interest. The annual rate of interest offered by the two Companies P and Q over the years are shown by the line graph provided below.

Annual Rate of Interest Offered by Two Finance Companies Over the Years.

Q1: In 2000, a part of Rs. 30 lakhs was invested in Company P and the rest was invested in Company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in Company P?

A Rs. 9 lakhs

B Rs. 11 lakhs

C Rs. 12 lakhs

D Rs. 18 lakhs

ANS:D - Rs. 18 lakhs

Let Rs. x lakhs be invested in Company P in 2000, the amount invested in Company Q in 2000 = Rs. (30 - x) lakhs. Total interest received from the two Companies after 1 year     = Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs

    = Rs. [ 2.7 - ( 1.5x ) ] lakhs.
100
Therefore [ 2.7 - ( 1.5x ) ] = 2.43     =>     x = 18.
100



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