Question

Divya and Dev jointly started a food cart business by investing Rs. 20,000 and Rs. 40,000. After 5 months Divya invested Rs. 10,000 more in the business but Dev withdrew Rs. 20,000. At the end of the year, if the profit of the business is Rs. 1,30,000, what is the profit earned by Divya?

• A. Rs. 54,000
• B. Rs. 51,000
• C. Rs. 64,000
• D. Rs. 56,000

Answer 1

The correct option is C

Rs. 64,000

Investment by Divya over a period of one year $=(20,000\times 5)+(30,000\times 7)$
$\Rightarrow$ Rs. 1,00,000 + Rs. 2,10,000 = Rs. 3,10,000

Investment by Dev over a period of one year $=(40,000\times 5)+(20,000\times 7)$
$\Rightarrow$ Rs. 2,00,000 + Rs. 1,40,000 = Rs. 3,40,000

Investment by Divya : Investment by Dev = 3,10,000 : 3,40,000 = 31 : 34

Divya's part in the total investment $=\frac{31}{65}$

Thus, in the Rs. 1,30,000 profit earned, Divya's share is
$\Rightarrow$ $1,30,000\times \frac{31}{65}$ = Rs. 64,000