Ratios and Proportion and Partnership Level 3

Q: Rakesh and Suresh invested Rs 30,000 and Rs 50,000 respectively to start a business and the ratio of the time for which Suresh and Rakesh invested is 3: 4. At the end of the year Rakesh was paid Rs 18,000 as an incentive for managing the business and Suresh got a profit of Rs 40,000 from the remaining profit then what is the total profit obtained?
A: Rs. 90,000
Q: Joe started a hardware business by investing his money Rs. 50,000. After six months, Jack joined her with a capital of Rs. 40,000. After 4 years, they earned a profit of Rs. 59,500. What was Joe's share in the profit?
A: Rs. 35,000
Q: What are two numbers in the ratio of 40/7 to 5, such that when each is diminished by 25/2, they shall become in the ratio of 11/3 to 3?
A: 40 and 35
Q: Vimla started a business investing Rs. 90000. After 3 months, Pulkit joined him with a capital of Rs. 120000. After another 6 months, Alia joined them with a capital of Rs. 180000. At the end of the year, they made a profit of Rs. 40000. What would be Alia’s share in it?
A: Rs. 8000
Q: Shina and Bhuwan started a business of utensils in Jagadhari by investing their money in the ratio of 4:3 respectively. After seven months, Preeti joined them by investing her money equal to Shina’s investment. After 2 years, they get 25% profit which is equal to the amount Rs. 14750. Find the Investment of Preeti.
A: Rs. 17000
Q: The three successive angles of a cyclic quadrilateral are in the ratio 1:3:4, find the measure of the fourth angle.
A: 72 degrees
Q: A student gets an aggregate of 60% marks in five subjects in the ratio 10:9:8:7:6 . If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?
A: 4
Q: A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2: 5. If the price varies as the square of the weight then find the loss incurred.
A: Rs.5000
Q: If 60 ml of water contains 12% chlorine, how much water must be added in order to create an 8% chlorine solution?
A: 30 ml
Q: The income of A, B and C are in the ratio 7 : 9 : 12 and their expenditure are in the ratio 8 : 9 : 15. If A saves 1/4 of his income, find the ratio of savings of A, B and C.
A: 56 : 99 : 69
Q: 300 coins consist of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : 3. Find the number of coins of each type.
A: 100, 80, 120
Q: An alloy contains copper and aluminium in a ratio of 7:4. While making weapons from this alloy, 12% of the alloy gets destroyed. If there is 12 kg of aluminium in the weapon, then the weight of the alloy required is :
A: 37.5 kg
Q: A, B and C started a business. A and B invested money in the ratio 1 : 3. B and C invested in the ratio 2 : 5. Total money invested in the business is Rs. 21850. After 4 months B withdraws 1/6 of his investment. 5 months later she again invests the withdrawn money and 11/6 of the original investment. A remained in the business for 5 months. If the total profit at the end of the year is Rs. 8265. Find the profit share of B (in Rs.)
A: 2850
Q: A, B and C invested their capital in a ratio of 2:3:4, and at end of the business they received the profit in the ratio 5:6:7. Find the ratio of the time period for which they contributed their capital.
A: 10:8:7
Q: The ratio of Ekta’s and Reema’s income last year was 10: 3. The ratio of Ekta’s this year income and last year income is 6: 5 and the ratio of Reema’s this year income and last year income is 2: 3. If the sum of Ekta’s and Reema’s present incomes is Rs. 5124, what was Reema’s income last year?
A: 1098
Q: Three friends went for a picnic. The first friend brought 5 apples and the second brought three. The third friend however only brought Rs. 8. What is the share of the first friend?
A: 7
Q: The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.
A: Rs. 1 lakh
Q: Nakul started a business with Rs. 25,000 and after 4 months Sanjay joined him with Rs. 60,000. Nakul received Rs. 58,000 including 10% of the profits as a commission for managing the business. What amount did Sanjay receive?
A: Rs. 72,000
Q: A bag contains coins of one rupee, two rupees & five rupees. The total money in the bag is Rs. 120. If the total number of one rupee and two rupee coins are 35 and in the ratio of coins is 2 : 5. Find the probability of getting a 2 rupee coin if a coin is randomly picked from the bag.
A: 25/47
Q: The sum of the squares of two numbers is 68, and the square of their difference is 36. What is the ratio of the product of the two numbers and the sum of the squares of two numbers?
A: 4:17
Q: Poonam, Swami & Deepa started a partnership business investing their money in a ratio of 3:5:7. After 3 months Kusum joined them and invested her money which is equal to Swami’s investment. Find the ratio of their profit at the end of the year.
A: 12 : 20 : 28 : 15
Q: A can contains a mixture of two liquids A and B in proportion 7:5. When 9 liters of the mixture is drawn off and the can is filled with B, the proportion of A and B becomes 7:9. How many liters of liquid A was contained by the can initially?
A: 21
Q: Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5 : 3 : 2. When 90 men are employed, the total daily wages of all amount to ₹ 10350. Find the daily wages of a man.
A: 75
Q: 9 kg of rice costs as much as 4 kg of sugar; 14 kg of sugar costs as much as 1.5 kg of tea; 2 kg of a tea costs as much as 5 kg of coffee; find the cost of 11 kg of coffee, if 2.5 kg of rice cost ₹12.50.
A: ₹ 462
Q: Prakash, Naresh and Vishal started a business in which their investments are in the ratio (1/40): (1/36): (1/45). At the end of 3 years, Naresh withdraws 1/8th of his initial investment. After another year Prakash adds 1/6th of his and after one more year, Vishal adds 1/4th of his initial investment. At the end of 7 years, then what is the respective ratio of profit amount received by them from the business?
A: 27:26:24
Q: 10 years ago, Sita’s mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. What is the present age of Sita?
A: 20 years
Q: A, B and C started a business each investing Rs.10000. After 4 months A withdraws Rs.3000, B withdraws Rs.4000, and C invests Rs.3000 more. At the end of the year, the total profit was Rs.32800. Find the share of C.
A: Rs. 14400
Q: Find the mean proportional between 9a2b and 25b3.
A: ±15ab2
Q: A started a business with Rs. 40,000. After 2 months B joined him with Rs. 60,000. C joined them after some more time with Rs. 1,20,000. At the end of the year, out of a total profit of Rs. 3,75,000, C gets Rs. 1,50,000 as his share. How many months after B joined the business did C join?
A: 4
Q: Last year in CAT, each section of the question paper had a different weightage. The weightage of QA, DI and VA/RC sections was 8,9 and 10 respectively. The maximum marks in all three sections together were 810. The wrong answer did not carry negative marks as a penalty. If Padma had gotten 20% more marks in QA and 8% more marks in DI and 7.14% more marks in VA/RC, then she must have gotten 100% marks in all three sections. The total marks that Padma scored is
A: 730