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? Rs. 54,000 Rs. 51,000 Rs. 64,000 Rs. 56,000

Solution

## The correct option is C Rs. 64,000 Investment by Divya over a period of one year =(20,000 × 5) + (30,000 × 7) ⇒ Rs. 1,00,000 + Rs. 2,10,000 = Rs. 3,10,000 Investment by Dev over a period of one year =(40,000 × 5)+(20,000 × 7) ⇒ 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 =3165 Thus, in the Rs. 1,30,000 profit earned, Divya's share is  ⇒ 1,30,000 × 3165 = Rs. 64,000

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