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ICSE Class 10 Answered

MEENA HAS A RECURRING DEPOSIT ACCOUNT OF RS 340 PER MONTH AT 6 % PER ANNUM. IF SHE GETS RS 7157  AT THE TIME OF MATURITY, FIND THE TOTAL TIME FOR WHICH THE ACCOUNT WAS HELD.  
Asked by borade.2810 | 19 Jul, 2018, 07:06: PM
answered-by-expert Expert Answer
P = Rs. 340, r = 6% p.a. , MV = Rs. 7157, n = ?
begin mathsize 16px style MV equals Pn plus straight P cross times fraction numerator straight n left parenthesis straight n plus 1 right parenthesis over denominator 2 end fraction cross times fraction numerator straight r over denominator 12 cross times 100 end fraction
7157 equals 340 straight n plus 340 cross times fraction numerator straight n left parenthesis straight n plus 1 right parenthesis over denominator 2 end fraction cross times fraction numerator 6 over denominator 12 cross times 100 end fraction
Simplifying space further space we space get space
straight n squared plus 41 straight n minus 8420 equals 0
rightwards double arrow straight n equals fraction numerator negative 41 plus-or-minus 188 over denominator 2 end fraction equals 73.5 space or space minus 114.5
straight n not equal to negative 114.5 rightwards double arrow straight n equals 73.5
end style
 
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