Miscellaneous Question 83
- Rs. 8800 is to be divided among three brothers A, D and R in such a way that simple interests on each part at $5 \%$ per annum after 1,2 and 3 years respectively are equal.
Quantity I : R’s share
Quantity II : A’s share
(1) Quantity I $>$ Quantity II
(2) Quantity I < Quantity II
(3) Quantity I $\leq$ Quantity II
(4) Quantity I $\geq$ Quantity II
(5) Quantity I $\neq$ Quantity II
IBPS Bank PO/MT CWE (Main Exam) 30.11.2019
Show Answer
Correct Answer: 83. (2)
Solution: 83. (2) S.I. $=\frac{P R T}{100}$
$\therefore \frac{\mathrm{A} \times 5 \times 1}{100}=\frac{\mathrm{D} \times 5 \times 2}{100}$
$=\frac{\mathrm{R} \times 5 \times 3}{100}$
$\Rightarrow \mathrm{A} \times 5=\mathrm{D} \times 10=\mathrm{R} \times 15$
$\Rightarrow \frac{\mathrm{A} \times 5}{30}=\frac{\mathrm{D} \times 10}{30}=\frac{\mathrm{R} \times 15}{30}$
$\Rightarrow \mathrm{A}: \mathrm{D}: \mathrm{R}=6: 3: 2$
Sum of the ratios $=6+3+2$
$=11$
R’s share $=\left(\frac{2}{11}\right) \times 8800$
$=$ Rs. 1600
A’s share $=\left(\frac{6}{11}\right) \times 8800$
$=$ Rs. 4800
BETA
