Bissoy.com
Doctors Medicines MCQs Q&A

Sudha, Sita and Ravita are three friends invested in a business in the ratio of 7 : 8 : 6. If Sudha and Ravita invested for one year, then Sita should invest for how many months if she wants to receive 40% of the total profit at the end of one year?

Sudha, Sita and Ravita are three friends invested in a business in the ratio of 7 : 8 : 6. If Sudha and Ravita invested for one year, then Sita should invest for how many months if she wants to receive 40% of the total profit at the end of one year? Correct Answer 13 months 

Given

Ratio of Sudha, Sita and Ravita’s investment in business = 7 : 8 : 6.

Time of Sudha and Ravita investment = 1 year

Sita’s share in profit = 40%

Formula used

Investment = capital × Time

Calculation 

Let Sita invested for months = x month

The ratio of their share = 7 × 12 : 8 × x : 6 × 12

⇒  84 : 8x : 72

Share of Sita in profit is 40% so,

According to question

⇒ 8x / (84 + 8x + 72) = 40%

⇒ 8x/ (84 + 8x + 72) = 2/5

⇒ 40x = 168 + 16x + 144

⇒ 24x = 312

⇒ x = 13                                                                                                              

∴ To earn 40 % profit Sita has to invest for 13 months.

Related Questions

Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. X, Y and Z invested Rs. 2 lakhs, Rs. 2.5 lakhs and Rs. 3.5 lakhs in a business respectively. After 4 months, X again invested Rs. 1 lakh, while Z withdrew Rs. 50000. After 2 more months, Y invested Rs. 50000 more, while Z again withdrew Rs. 50000. After another 4 months, X and Y also withdrew Rs. 1 lakh and Rs. 1.5 lakhs respectively. Quantity A: What part of the profit will X receive at the end of the year? Quantity B: What part of the profit will Y receive at the end of the year? Quantity C: What part of the profit will Z receive at the end of the year?
Sita, Geeta and Monika invested Rs. 2000, Rs. 1600, and Rs. 2500 in Reliance for 12 months, 15 months and 9 months respectively. In end of business Reliance reported a profit of Rs. 7050000 which need to be distributed among Sita, Geeta and Monika. After some time, all the three investors with their obtained profit moved to another city and invested money(profit gained) in a chit fund which provided 10% annual return for Sita , 12% annual return for Geeta and 13% annual return for Monika . Find the ratio of returns after a year from the point they all invested in chit fund.
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. P invested Rs. 10000 more than Q in a business, but at the end of the year, they received profit in the ratio 11 ∶ 10, such that P received Rs. 2100 more than Q. R and S also invested in another business in the ratio 1 ∶ 2, but at the end of the year, they received profit in the ratio 6∶ 7, such that R received Rs. 2400 less than S. Quantity A: If P withdrew Rs. 10000 after 6 months of investment, how much money did he initially invested? Quantity B: If S withdrew Rs. 50000 after 4 months of investment, how much money did he initially invested? Quantity C: How much total profit did all four of them earned at the end of the year?
A, B and C three friends started the business in which A invested for 4 months, B initially didn’t invest and started as working partner, while C invested for 6 months. They decided to donate 9% of total profit and to give 21% of total profit to B as salary. Find the ratio of their profit shares if A and C invested in the ratio of 3 ∶ 2 and B also invested an amount which is 80% of total amount invested by A and C together for a single month.
Ajay, udi and ravi have invested amount in business. Udi invested twice the amount then ajay and ravi invested thrice the amount then ajay. Ajay was the first one to invest, udi invested after 3 months in the business and ravi invested after 5 months then ajay. If the udi invested Rs. 20,000 and they earned a profit of 17% at end of one year then what is ajay’s share in profit?
The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Manav, Roshan and Ratikant enter into a boutique business then what is the profit share of Roshan out of the total Profit? I. Roshan and Ratikant starts the business with an initial capital of Rs. 12000 and Rs. 15000 Respectively for 8 months and 9 months respectively. II. Manav invested Rs. 12500 for 12 months and claims a profit of Rs. 62500. III. Manav invests money for 1 year. He invests 20% more than Ratikant and the total profit earned at the end of year in 2/3rd of the total investment.
A, B, and C are partners. A invested Rs. 4,50,000 in business for 't' months. B invested Rs. 2,00,000 for 5 months less than the period invested by A and C invested Rs. 6,00,000 for 3 months less than the period invested by B. Their profit sharing ratio is 27 : 7 : 12. Find the number of months for which each partner has invested in the business respectively.
A, B, and C are partners. A invested Rs. 20,000 in business for 't' months. B invested Rs. 30,000 for 4 months less than the period invested by A and C invested Rs. 60,000 for 2 months less than the period invested by B. Their profit sharing ratio is 2 : 2 : 3. Find the number of months for which each partner has invested in the business respectively.
A, B and C entered into a partnership business, A invested Rs. x, B invested 20% more than A and C invested \(111\frac{1}{9}\% \) of B. After 8 months B left the business and A withdraws 50% of his investment and after 2 more months A left the business whereas C increased his investment by 12.5%. Quantity I: If at the end of the year difference between profit shares of C and (A + B) together is Rs. 2822, then find the profit share of C? Quantity II: If total profit is Rs. 198596, then find the average of the profit share of (A + B) together?
Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity 1: Amount invested by Samuel. Samuel gets Rs. 6750 out of total profit of Rs. 9000 And he invested Rs. 10000 more amount than his partner for 8 months and his partner Jack invested his amount for whole the year. Quantity 2: Share of Q, if the total profit at the end of the year is Rs. 86400. P, Q and R started a business with a total investment of Rs. 72,0000. P invested Rs. 60,000 more than Q and Q invested Rs. 30,000 less than R.