Atul and Nishant started a business by investing Rs. 8400 and Rs. 11400 respectively, but Atul left the business after 8 months. Find the difference between the share of profits of Atul and Nishant, if the total profit at the end of the year was Rs. 17000.
Atul and Nishant started a business by investing Rs. 8400 and Rs. 11400 respectively, but Atul left the business after 8 months. Find the difference between the share of profits of Atul and Nishant, if the total profit at the end of the year was Rs. 17000.
1). Rs. 5800
2). Rs. 6000
3). Rs. 6500
4). Rs. 7000
1 answers
By given data-
As profit will be in proportion to invested money.
Atul’s investment part ? Nishant’s investment part = 8400 × 8 ? 11400 × 12
∴ Atul’s investment part ? Nishant’s investment part = 67200 ? 136800
∴ Atul’s investment part ? Nishant’s investment part = 28 ? 57
Let’s assume common multiplication constant be x.
∴ Atul invested 28x money and Nishant invested 57x money.
∴ Atul invested 28x parts out of 85x parts. & Nishant invested 57x parts out of 85.
Total profit = 17000 Rs.
∴ 85x = 17000
∴ x = 200
To find the difference between profit of Atul & Nishant-
Nishant’s profit - Atul’s profit = 57x - 28x
∴ Nishant’s profit - Atul’s profit = 29x
∴ Nishant’s profit - Atul’s profit = 29 × 200
∴ Nishant’s profit - Atul’s profit = 5800 Rs.