HARD
CAT
IMPORTANT
Earn 100

According to the 2011 census, the population growth rate of Lucknow is going to be an increasing AP with first year's rate as 5% and common difference as 5%, but simultaneously the migration rate is an increasing GP with first term as 1% and common ratio of 2. If the population on 31 December 2010 is 1 million, then find in which year will Lucknow witness its first fall in population?

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Important Questions on Interest

HARD
CAT
IMPORTANT
Mohit Anand borrows a certain sum of money from the Mindworkzz Bank at 10% per annum at compound interest. The entire debt is discharged in full by Mohit Anand on payment of two equal amounts of 1000 each, one at the end of the first years and the other at the end of the second year. What is the approximate value of the amount borrowed by him?
HARD
CAT
IMPORTANT
In order to buy a car, a man borrowed 180000 on the condition that he had to pay 7.5% interest every year. He also agreed to repay the principal in equal annual instalments over 21 years. After a certain number of years, however, the rate of interest has been reduced to 7%. It is known that at the end of the agreed period, he will have paid in all 270900 in interest. For how many years does he pay at the reduced interest rate?
HARD
CAT
IMPORTANT
A sum of 8000 is borrowed at 5% per annum compound interest and paid back in three equal annual instalments. What is the amount of each instalment?
MEDIUM
CAT
IMPORTANT
Three amounts x, y, z are such that y is the simple interest on x and z is the simple interest on y. If in all the three cases, rate of interest per annum and the time for which interest is calculated is the same, then find the relation between x, y and z.
HARD
CAT
IMPORTANT
A person lent out some money for one year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got 4704. Which of these could be the amount that was lent out in each case, if interest is paid half-yearly?
MEDIUM
CAT
IMPORTANT
A person bought a motorbike under the following scheme: down payment of 15000 and the rest amount at 8% per annum simple interest for two years. In this way, he paid 28920 in total. Find the actual price of the motorbike.
MEDIUM
CAT
IMPORTANT
Hans Kumar borrows 7000 at simple interest from the village moneylender. At the end of three years, he again borrows 3000 and closes his account after paying 4615 as interest after eight years from the time he made the first borrowing. Find the rate of interest.
MEDIUM
CAT
IMPORTANT
Some amount was lent at 6% per annum simple interest. After one year, 6800 is repaid and the rest of the amount is repaid at 5% per annum. If the second year's interest is half of the first year's interest, find what amount of money was lent out.