Bissoy.com
Doctors Medicines MCQs Q&A

A started a business by investing Rs. 18000. After few months, B joined the business by investing Rs. 24000. If at the end of 1 year the profit of share of A is 64(2/7)% of the total profit of Rs. 4900, then after how many months B joined the business?

A started a business by investing Rs. 18000. After few months, B joined the business by investing Rs. 24000. If at the end of 1 year the profit of share of A is 64(2/7)% of the total profit of Rs. 4900, then after how many months B joined the business? Correct Answer 7 months

Let B joined the business for t months.

The ratio between the profit shares of A and B:

⇒ 18000 × 12 : 24000 × t

⇒ 18 × 12 : 24 × t

⇒ 9 : t

Again let the profit shares of A and B be 9x and tx respectively.

64(2/7)% = (450/7)% = 450/700

Given, the profit share of A = 4900 × (450/700) = Rs. 3150

So, the profit share of B = 4900 - 3150 = Rs. 1750

Now,

⇒ 9x = 3150

⇒ x = 350

So, tx = 1750

⇒ t × 350 = 1750

⇒ t = 5

Hence, B joined the business after (12 - 5) = 7 months.

Related Questions

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: X and Y started a partnership business by investing in the ratio 5 ∶ 6. Z joined them after 4 months with an amount equal to 2/3rd of that of Y. What was their total profit at the end of the year, if Z got Rs. 28000 as his share? Quantity B: Two friends P and Q started a business investing amount in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q’s amount. At the end of year 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?
A started a business investing Rs. 3000. After 3 months, B joined the business investing Rs. 2000. After some more time, C joined the business investing Rs. 1500. At the end of the year, profit from the business was Rs. 16000 and share of C was Rs.1600 out of the profit. For how many months C invested in the business?
A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C's share of the profit (in Rs.)?
A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C’s share of the profit (in Rs.)?
A started a business by investing Rs. 8400. After 2 months B and C joined him by investing Rs. 9000 and Rs. 6000 respectively. After 4 more months, B withdrawn 1/3 part of his capital, D joined them by investing Rs. 10000 and after 4 more months A withdrawn his whole capital. After one year, A took Rs. 8400 from the total profit for starting the business and the rest profit is distributed according to their ratio. If the difference between the shares of A and B is Rs. 9600, then find the total profit.
A and B started a business by investing in the ratio of 2 : 3. After 2 months, C joined them by investing 120% of A’s capital and after 2 more months, D joined them by investing 112.5% of A’s capital. After 6 more months, B withdraws his whole capital. If after 1 year the difference between profit shares of A and B together and that of C and D together is Rs. 7000, then find the total profit.
X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?
X and Y started a business investing Rs 12000 and Rs 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs 12500. What is the share (in Rs) of Z in the profit?
A starts a cement trading business by investing Rs 5 lakhs. After 2 months, B joins the business by investing Rs.10 lakhs .And 4 months after B joined, C too joins them by investing Rs. 20 lakhs. 1 year after A started the business, they made Rs. 3,50,000 in profit. What is B's share of the profit (in Rs.)?
A and B start a business by investing equal amounts. Four months later, C joins them by investing Rs. 3.5 lakhs. By withdrawing his investment in the business B leaves the business 4 months after C joined. At the end of the year the business makes Rs. 62,400 profit out of which A collects Rs. 24,000 as his share of profit. How much should be paid to C (in Rs.) as his share of profit?