Question

Shina and Bhuwan started a business of utensils by investing their money in the ratio of $4:3$ respectively. After seven months, Preeti joined them by investing her money equal to Shina’s investment. After $2$ years of starting the business, they get $25\%$ profit which is equal to the amount $\text{Rs.}14750.$ Then the investment of Preeti is

• A. $\text{Rs.}24000$
• B. $\text{Rs.}17000$
• C. $\text{Rs.}18000$
• D. $\text{Rs.}16000$

Answer 1

The correct option is B $\text{Rs.}17000$

Let the investment money of Shina, Bhuwan and Preeti be $4x,3x$ and $4x$ respectively.
Then, Shina invested $\text{Rs.}4x$ for $24$ months, Bhuwan invested $\text{Rs.}3x$ for $24$ months, and Preeti invested $\text{Rs.}4x$ for $17$ months.
So, Shina $:$ Bhuwan $:$ Preeti
$=(4x\times 24):(3x\times 24):(4x\times 17)$
$=24:18:17$
Total investment $=14750\times \frac{100}{25}=\text{Rs.}59000$
Hence, investment made by Preeti $=59000\times \frac{17}{59}=\text{Rs.}17000$