Question : A sum of Rs 27,000 is divided into two parts A and B such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs) received together from A and B is:
Option 1: 9,600
Option 2: 5,400
Option 3: 18,000
Option 4: 10,800
Correct Answer: 10,800
Solution : Let $x$ be the principal for part A and $y$ be the principal for part B. So, according to the question $\frac{x×15×2}{100}$ = $\frac{y×15×4}{100}$ ⇒ $x: y$ = 2 : 1 Divide 27000 in the ratio of 2 : 1 ⇒ $x$ = $\frac{2}{3}$ × 27000 = 18000 and, $y$ = $\frac{1}{3}$ × 27000 = 9000 Now, Total Interest = $\frac{18000×15×2}{100}$ + $\frac{9000×15×4}{100}$ = 10,800 Hence, the correct answer is 10,800.
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Question : A sum of INR 36,000 is divided into two parts, A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in INR) received from A is:
Option 1: 1,800
Option 2: 3,600
Option 3: 7,200
Option 4: 5,400
Question : Two equal sums are lent at 8% and 4% simple interest p.a, respectively at the same time. The first sum is received 2 years earlier than the other and the amount received in each case is INR 14,500. Each sum is:
Option 1: INR 12,800
Option 2: INR 12,500
Option 3: INR 13,200
Option 4: INR 12,000
Question : Two equal sums were lent out at 7% and 5% simple interest respectively. The interest earned on the two loans adds up to Rs. 960 for 4 years. The total sum lent out in:
Option 1: Rs. 3500
Option 2: Rs. 2500
Option 3: Rs. 2000
Option 4: Rs. 3000
Question : A sum of Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will the same sum become in 3 years?
Option 1: Rs. 1025
Option 2: Rs. 1042
Option 3: Rs. 1052
Option 4: Rs. 1024
Question : Two equal sums are lent at 10% and 8% simple interest p.a. respectively, at the same time. The first sum was received 2 years earlier than the second one and the amount received in each case was INR 36,900. Each sum was ______.
Option 1: INR 20,500
Option 2: INR 20,200
Option 3: INR 18,100
Option 4: INR 21,500
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