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3. A person invested a certain, sum for five years at the rate of r% per annum simple interest. If he had invested the same sum at the same rate compounded half yearly for one year, he would have received the same amount. Find the value of r. (1) 1000% (2) 1600% (3) 800% (4) 500%,,

5. A person invested Rs.20000 in abank which is offering 10% per annum simple interest. After two years he withdrew the money from the bank and deposited the total amount in another bank which gives an interest rate of r% pa. compounded annually. After 2 years he received an amount of Rs.2460 more than what he had invested in that bank. Find the value of r. (1) 5 (2) 10 (3) 15 (4) 12

7. A man borrowed Rs.55000 from two banks under compound interest, compounded annually. One bank charged interest at the rate of 8% per year and the other bank at 12% per year. If at the end of the year the man paid Rs.4900 as the total interest to the two banks, how much loan did he take from the first bank? (1) Rs.47500 (2) Rs.42500 (3) Rs.32500 (4) Rs.12500

13. A shopkeeper defrauds both the dealer and the customer by measuring the weights incorrectly. When he is purchasing items from the dealer, he takes 20% more than the indicated weight and while selling he gives to the customer n quantity, such that if 20% is added to it, the indicated weight is obtained. If the price that the shopkeeper charges his customer is the same as what the dealer charges the Shopkeeper, what is the shopkeeper’s profit percentage? (1) 40% (2) 44% (3) 50% (4) 60%

15. A salesman used to get a commission of 12% on his total sates. A new policy is introduced and he now gets a fixed sum of Rs.4680 and 8% commission on total sales made in excess of Rs,16000 The salesman’s total sales for the previous month exceeded Rs.16000 His total sales for this month was the same as that of last month and his revenue this month is Rs.1000 more than that of Iastmonth. Find his total sales (in Rs.) this month. (1) 40000 ‘(2) 56000 (3) 60000 (4) 70000

17. Merchant A sold an article after giving a 30% discount. Merchant B sold the same article after giving three successive discounts of 10% each. Merchant C sold the same article after giving successive discounts of 15%, 10% and 5%. If the marked prices of the three merchants were the same, find the ascending order of their selling prices. (1) ACB (2) ABC (3) BCA (4) BAC

19. The price of an item went up by 25% and a family decided to reduce its consumption so that the total expenditure would increase by only 8% as compared to the previous expenditure. If 25 kg of the item was consumed previously, then how many kg of the item should be consumed now? (1) 25 kg (2) 20 kg (3) 22.4 kg (4) 21.6 kg

25. Two trains running at 63 kmph and 45 kmph cross each other in 15 seconds, when they run in opposite direction. When they run in the same direction, a person from the faster train observes that he crossed the other train in 40 seconds. Find the lengths of the two trains. - -

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