1.Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
(1)Rs. 1550
(2)Rs. 1650
(3)Rs. 1750
(4)Rs. 2000
(5) none of these
2.A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
(1)6 hours .
(2)10 hours
(3)15 hours
(4)30 hours
(5) none of these
3.A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
(1)4%
(2)6%
(3)20%
(4)25%
(5)none of these
4.Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
(1)7 : 6 : 10
(2)12 : 15 : 16
(3)42 : 45 : 56
(4)Cannot be determined
(5)none of these
5.8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally
(1)25 litres .
(2)22
(3)24 litres
(4)30
(5) none of these
6.A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
(1)2/3
(2)1/7
(3)5/8
(4)3/4
(5)none of these
7.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.
(1)Rs. 1900
(2)Rs. 2660
(3)Rs. 2800
(4)Rs. 2840
(5) none of these
8.10 women can complete a piece of work in 8 days and 10 children take 12 days to complete it. How many days will 6 women and 3 children together take to complete the work?
(1) 9 days
(2) 12 days
(3) 7 days
(4) 8 days
(5) None of these
9.The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then value of x is
(1)15
(2)16
(3)18
(4)20
(5) none of these
10.The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
(1)25% increase
(2)50% increase
(3)50% decrease .
(4)75% decrease
(5)none of these
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