Question
'X' and 'Y' started a business by investing Rs.(p + 400)
and Rs.(2p - 800), respectively. If at the end of the year, profit share of 'X' was Rs.18,000 out of total profit of Rs.42,000, then find the amount invested by 'Y'Solution
ATQ, Let the amount invested by X be (p + 400) and the amount invested by Y be (2p - 800). Total profit = Rs. 42,000 X's profit share = Rs. 18,000 So, Y's profit share = Total profit - X's profit share Y's profit share = Rs. 42,000 - Rs. 18,000 Y's profit share = Rs. 24,000 Now, we know that profit is distributed in proportion to the amount invested. Therefore, we can set up the following equation: (X's investment) / (Y's investment) = (X's profit share) / (Y's profit share) Substitute the values: [(p + 400)] / [(2p - 800)] = 18,000 / 24,000 (p + 400) / (2p - 800) = 3/4 4(p + 400) = 3(2p - 800) 4p + 1600 = 6p - 2400 1600 = 2p - 2400 2p = 4000 p = 2000 Now that we have found the value of p, we can find the amount invested by Y: Y's investment = 2p - 800 Y's investment = 2(2000) - 800 Y's investment = 4000 - 800 Y's investment = Rs. 3200 So, the amount invested by Y is Rs. 3200.
A invests Rs. 20,000 for 6 months, B invests Rs. 15,000 for 8 months, C invests Rs. 25,000 for 4 months. Total profit = Rs. 17,000. Find Bβs share.
Ashu and Sunil together start a business with investment of Rs. 1800 and Rs. βx + 1000β, respectively. If the profit earned after 5 years is Rs. 640...
'A' and 'B' invested Rs. 16,000 and Rs. 12,000, respectively, in a business. After 8 months, 'A' added Rs. 8,000 to his investment, while 'B' withdrew R...
Deepak and Ramesh started a business by investing Rs. βXβ and Rs. (X + 600), respectively. 12 months later, Ramesh withdrew his entire investment. ...
βAβ and βBβ started a business by investing certain sum in the ratio 3:2, respectively for 10 years. If 20% of the total profit is donated in an...
"Abhinav" and "Pankaj" launched a business venture with investments of Rs. 1400 and Rs. 2100, respectively. The ratio of the time for which "Abhinav" an...
Ashish started a business by investing Rs. 6300. Few months later; Ramesh joined him by investing Rs. 8000 such that at the end of the year, the profit ...
A and B started a retail store with initial investments in the ratio 5:6 and their annual profits were in the ratio 2:3. If A invested the money for 8 m...
X started a business with Rs.12000. After 6 months, Y joined with x% of Xβs capital. At the end of the year, Yβs share in the Rs.36000 total profit ...
- Ravi and Raj entered into a business where Ravi invested Rs. 9,000. Raj withdrew his capital after 6 months. If their profit ratio at the end of the year w...