Profit And Loss Ques 29

Question.

If A invested Rs. 12000 at some rate of interest of S.I. and $B$ joined him after 3 months investing Rs. 16000 at same rate of interest. If $A$ leaves before 2 months of completion, then what will be the share of B’s profit after 1 year if total profit is Rs. 22000 ?

(1) Rs. 10000

(2) Rs. 14000

(3) Rs. 12000

(4) Rs. 8000

(5) Rs. 11000

IBPS RRBs Officer CWE (Prelim Exam) 04.08.2019

Show Answer

Correct Answer: 3

Solution: (3)

S.I. $=\frac{\text { Principal } \times \text { Time } \times \text { Rate }}{100}$

According to the question,

$ \begin{aligned} & \frac{12000 \times 10 \times r}{12 \times 100}+\frac{16000 \times 9 \times r}{12 \times 100} \\ & = 22000 \\ \Rightarrow & 100 r+120 r=22000 \\ ⇒ & 220 r=22000 Ω \end{aligned} $

$\Rightarrow r=\frac{22000}{220}=100%$ per annum

$\therefore$ B’s share $=120 r=120 \times 100$ $=$ Rs. 12000