PARTNERSHIP: IMPORTANT FORMULAS

Partnership: When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership. Ratio of Divisions of Gains: When investments of all the partners are for the same time, the gain or loss is distributed among the partners in the ratio of their investments. Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year: (A's share of profit) : (B's share of profit) = x : y. When investments are for different time periods, then equivalent capitals are...

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RATIO AND PROPORTION: IMPORTANT FORMULAS

[1] Ratio: The ratio of two quantities a and b in the same units, is the fraction a/b and we write it as a : b. In the ratio a : b, we call a as the first term or antecedent and b, the second term or consequent. Eg. The ratio 5 : 9 represents 5/9 with antecedent = 5, consequent = 9. Rule: The multiplication or division of each term of a ratio by the same non-zero number does not affect the ratio. Eg. 4 : 5 = 8 : 10 = 12 : 15. Also, 4 : 6 = 2 : 3. [2] Proportion: The equality of two ratios is called proportion. If a : b = c : d, we write a :...

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PROBLEMS ON AVERAGE

Q. 1. All of the following are examples of real security and privacy risks EXCEPT : (1) Hackers (2) Spam (3) Viruses (4) Identity theft (5) None of these Ans - 2 Q.2. A process known as --------------- is used by large retailers to study trends. (1) Data mining (2) Data selection (3) POS (4) Data conversion (5) None of these Ans - 1 Q.3.Which of the following is NOT one of the four major data processing functions of a computer ? (1) Gathering data (2) processing data into information (3) Analyzing the data or information (4) Storing the...

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ALLIGATION OR MIXTURES

[1] Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be: A. Rs. 169.50 B. Rs. 170 C. Rs. 175.50 D. Rs. 180 Ans - C [2] A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially? A. 10 B. 20 C. 21 D. 25 Ans - C [3] A milk vendor has...

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PROBLEMS ON AGES

[1] The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? A. 4 years B. 8 years C. 10 years D. None of these Ans - A [2] A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was: A. 14 years B. 19 years C. 33 years D. 38 years Ans - A [3] A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B? A. 7 B....

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PROFIT AND LOSS

[1] The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is: A. 15 B. 16 C. 18 D. 25 Ans - B [2] In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? A. 30% B. 70% C. 100% D. 250% Ans - B [3] A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? A. 3 B. 4 C. 5 D. 6 Ans - C [4] The percentage profit earned...

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PROBLEMS ON PARTERNERSHIP

1. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is: A. Rs. 1425 B. Rs. 1500 C. Rs. 1537.50 D. Rs. 1576 Ans - B 2.  A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit. A....

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SIMPLIFICATION

1. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? A. 45 B. 60 C. 75 D. 90 Ans - D 2. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is: A. 20 B. 80 C. 100 D. 200 Ans...

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RATIO AND PROPORTION

[1]  Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7 Ans - C [2] A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these Ans - C  [3] Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the...

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PROBLEMS ON SIMPLE INTEREST

[1] A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700 Ans -   C [2] Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? A. Rs. 6400 B. Rs. 6500 C. Rs. 7200 D. Rs. 7500 E. None of these Ans - A [3]  A sum fetched a total simple...

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PROBLEMS ON PERCENTAGE

[1] If 20% of a = b, then b% of 20 is the same as: A. 4% of a B. 5% of a C. 20% of a D. None of these Ans- A [2] Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B. A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3 Ans - D [3] In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: A. 2700 B. 2900 C. 3000 D. 3100 Ans...

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