Imran borrowed a sum of money from Jayant at the rate of 8% per annum simple interest for the first four years, 10% per annum for the next six years, and 12% per annum for the period beyond 10 years. If he pays a total of Rs. 12,160 as interest only at the end of 15 years, how much way did he borrow?
(A) 8000
(B) 10,000
(C) 12,000
(D) 9,000
To find the amount Imran borrowed, let's break down the problem step by step.
Let's denote the principal amount borrowed by Imran as P.
For the first four years, the simple interest is calculated at the rate of 8% per annum. So, the interest for the first four years = P * 8% * 4 = 0.08P * 4 = 0.32P
For the next six years, the simple interest is calculated at the rate of 10% per annum. So, the interest for the next six years = P * 10% * 6 = 0.1P * 6 = 0.6P
For the remaining five years (15 years total - 4 years - 6 years = 5 years), the simple interest is calculated at the rate of 12% per annum. So, the interest for the remaining five years = P * 12% * 5 = 0.12P * 5 = 0.6P
The total interest paid by Imran is given as Rs. 12,160.
So, adding up the interest for each period:
Total interest = 0.32P + 0.6P + 0.6P = 1.52P
Given that the total interest is Rs. 12,160, we can set up the equation:
1.52P = 12,160
Now, solve for P:
P = 12,160 / 1.52 P = 8,000
Therefore, Imran borrowed Rs. 8,000.
7,500 is borrowed at C.I. at the rate of 2% for the first year, 4% for the second year, and 5% for the third year. The amount to the paid after 3 years will be
(A) 8235.00
(B) 8432.00
(C) 8520.20
(D) 8353.80
A constable was 114 meters behind a thief. A constable walks 21 meters and a thief 15 meters in a minute, then in how much time will the constable catch the thief?
(A) 19 minute
(B) 17 minute
(C) 18 minute
(D) 16 minute
If a man makes 2/3 of his speed, then it takes him one hour more to walk a certain distance, then in how many hours will the man cover the same distance at his normal speed
(A) 1.5
(B) 2
(C) 3
(D) 1
A 240 m long train crosses a 300 m long platform in 27 seconds. What is the speed of the train in km/h?
(A) 36
(B) 20
(C) 66
(D) 60
Two trains starts from place A and B, 450 km apart towards each other. Both trains start simultaneously. A crow sitting on one train start flying at the same time towards the other train and as soon as it reaches the second train, it flies back to the first train and it continues in this manner flying backward and forwards from one train to the other until the train meet. Both train travel at a speed of 45 km / h and the crow flies at 100 km / h total distance covered by the crow will be
(A) 400 km
(B) 360 km
(C) 450 km
(D) 500 km
A train moving at speed of 90 km/hr crosses a pole in 7 seconds. Find the length of the train.
(A) 150 m
(B) 165 m
(C) 175 m
(D) 170 m
A train 300 m. long is running with a speed of 54 km/hr. In what time will it cross a telephone pole?
(A) 16 sec
(B) 20 sec
(C) 18 sec
(D) 22 sec
A certain sum of money lent out at simple interest amounts to 1380 in 3 years and 1500 in 5 years. Find the rate per cent per annum.
(A) 3%
(B) 3.5%
(C) 4%
(D) 5%
Aryan invested ₹ 5200 at 4 %, 6 % and 8 % per annum simple interest. At the end of the year, he got the same interest in all the three cases, find the money invested at 4%.
(A) ₹ 2800
(B) ₹ 3000
(C) ₹ 2500
(D) ₹ 2400
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