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Beyonce and Lady Gaga enter into partnership. Beyonce said that she will invest the whole amount of Rs.45000. She make this deal on a condition that profits should be equally divided and Gaga pays interest to Beyonce on half of the investment 10% per annum, but receives Rs.120 per month for carrying on the concern. Find their total yearly profit when Gaga's income is one half of Beyonce's income.

Beyonce and Lady Gaga enter into partnership. Beyonce said that she will invest the whole amount of Rs.45000. She make this deal on a condition that profits should be equally divided and Gaga pays interest to Beyonce on half of the investment 10% per annum, but receives Rs.120 per month for carrying on the concern. Find their total yearly profit when Gaga's income is one half of Beyonce's income. Correct Answer Rs. 9180

Given∶

Beyonce's investment = Rs. 45,000

Also, the profit to be equally divided, and 

Gaga pays Beyonce interest on half of the investment at 10% p.a. but receives Rs. 120 per month.

Formula Used∶

Concept of ratios and simple Interest ; SI = (P 

× R 

× T) / 100

Calculation∶

 

Let the total profit be Rs.x

Amount paid to Gaga = (120 × 12) = Rs. 1440

Share of each = (x - 1440) / 2

Total money received by Gaga = (x - 1440)/2 + 1440 - 2250 = (x - 1440/2) - 810

Thus, total profit

⇒ 2 = (x - 1440)/2 + 2250

⇒ 2 = (x - 1440 + 4500)/2

⇒ x - 3060 = 1/2 (x + 3060)

⇒ 2x - 6120 = x + 3060

⇒ 2x - x = 6120 + 3060

⇒ x = 9180

∴ Their total yearly profit is of Rs. 9180.

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