Question

A man invests Rs 3965 in the names of his three daughters, Neeta, Sita and Gita in such a way that they would receive the same amount after 2, 3 and 4 years. If the rate of interest is 5% p.a., then the amount invested for Neeta, Sita and Gita is

• A. Rs 1380, Rs 1320, Rs 1265
  
• B. Rs 1330, Rs 1360, Rs 1380
  
• C. Rs 1265,Rs 1320, Rs 1340
  
• D. None of these
• E. Either of these

Answer 1

The correct option is A Rs 1380, Rs 1320, Rs 1265


We have, $T_1=2$ years, $T_2=3$ years, $T_3=4$ years.
$R_1=R_2=R_3=5\%p.a.$
$\therefore$ The ratio in which the amount is invested
$=\frac{1}{100+R_1{T}_1}:\frac{1}{100+R_2{T}_2}:\frac{2}{100+t_3{T}_3}$
i.e., $\frac{1}{100+2\times 5}:\frac{1}{100+3\times 5}:\frac{1}{10+4\times 5}$
i.e., $\frac{1}{110}:\frac{1}{115}:\frac{1}{120}or,276:264:253.$
Their sum =276+264+253=793
$\therefore$ The amount invested for
Neeta $=\frac{3965}{793}\times 276=Rs1380$
Sita $=\frac{3965}{793}\times 264=Rs1320.$
Gita $=\frac{3965}{793}\times 253=Rs1265.$