Percentage Questions Advanced

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Q1. Ram deposits Rs. P with a bank at r% compound interest and sees it reach Rs.16P in 20 years. If he had invested the same amount at r%  simple interest for 20 years, what would be the amount?

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Q2. Ram earns an interest of 600 over two years on a simple interest basis.  On a compound interest basis, at the same interest rate, he would earn  Rs. 630. What is the rate of interest?

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Q3. Ram sells onions in the streets of Chandni Chowk. Due to recent shortfall in the supply of onions, he doubles his selling price despite the cost price remains same for him due to a fixed price contract. He realizes that his profit have tripled. Find the original profit percent.

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Q4.  Given below is a question followed by three statements. Study the statements and decide which of the statement(s) is/are necessary to answer the question. What was the discount percentage given?

I) On selling the table, for Rs 12650, 26.5 %, Profit was earned.

II) If there had been no discount, 30% would have been earned as profit. 

III) The Cost price of the table was Rs 10000 

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Q5. In a practice paper at 2iim.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?

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Q6. Tensile strength of a material A is a multiple of the amount of materials a,  b, c, and d used. If the amount of material of a, b, c, and d are changed by +30%,  -30%, -25%, +25% respectively, what will be the overall change in tensile strength of A? 

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Q7. A bucket has ‘a’ number of small and large balls out of which b% are black. Of the small balls, c% are black and of large balls, d% are black.  Find the number of small balls in the bucket.

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Q8. A moneylender takes advantage of difficult situation of poor people and charges 50% interest. However he never gets caught because he gives  20% of his total capital (initial capital + profit) as bribe. If in the beginning of 4th year, he has a capital of Rs 25,000 to invest, how much bribe did he give at the end of the second year?

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Q9.  In an examination, 35% of students failed in quants and 42% of students failed in verbal while 14% failed in both the topics. If 222  students passed in both the topics, how many students appeared to write the examination? 

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Q10. A solid cube made of steel is melted and recast such that its length,  breadth, and height changes as +10%, +10%, -20%. What is the percentage change in surface area of this cube?

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Q11. In a local election, 2400 people were to vote for Party A or Party B.  Party A was bound to win the election. However, on Election Day, one-third of the voters of Party A were kidnapped. Party B was also able to influence the remaining Party A voters and thus double the strength of its voters. In this way, Party A lost by a majority which was half of that by which it would have won had the elections been fair. How many people finally voted for Party A and Party B?

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Q12. Recently a band was to perform in India. However, there was widespread criticism of the high cost of its tickets so the organizers  decided to offer the following discounts:

The tickets were originally priced at Rs 25,000/ticket. Any additional tickets (above the lot sizes) were billed at the original price. A college group wants to buy 13 tickets, what is the minimum average ticket price they would need to pay (approx.)?

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Q13. Recently a band was to perform in India. However, there was  widespread criticism of the high cost of its tickets so the organizers  decided to offer the following discounts:

The tickets were originally priced at Rs 25,000/ticket. Any additional tickets (above the lot sizes) were billed at the original price.A college group wants to buy 36 tickets, what would be the minimum price (approx) per ticket if the group wanted to buy 36 tickets?

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Q14.  In an ice-cream factory, 30% of total Vanilla-flavored ice-cream produced is mixed with 40% of total Banana-flavored ice-cream produced, in a ratio of 1:1. Find the overall percentage of ice-cream produced which is mixed with each other. (Ice-creams of only these 2  flavors are produced in the factory)

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Q15. Hari prepares a budget to visit London. However, he spends 12% of his budget on the first 10% days of his travel when he stays in the city. He knows that he has to spend another 35% of days in city itself, after which he would travel to the countryside. What should be the minimum decrease in spending in country side as a percentage of his spending in city so as to complete his travel on the initial budget itself?

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The average score is 35%

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