Mixtures & Allegations Mcqs


Q.  Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?

a. 16 : 5
b. 14 : 5
c. 16 : 7
d. 19 : 5
e. None of these


ANSWER: See Answer
 
Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres

Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5.
MCQs:  Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A’s share in the profit is?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Kashif and Nadeem jointly started a business. Kashif invested three times as Nadeem did and invested his money for double time as compared to Nadeem. Nadeem earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  In a partnership between A, B and C. A’s capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C’s share is Rs.130, what is B’s capital?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year’s profit?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year’s profit of Rs.210 where as B does not. In what ratio should they divide the second year’s profit?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A’s share is?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A’s income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Category: Mathematics Quizzes,   Published by: teswesm