Question : A sum of Rs. 6000 is divided into two parts. The annual simple interest on the first part at the annual rate of 10% is equal to the annual simple interest on the second part at the annual rate of 15%. How much is the interest on each part for one year?
Option 1: Rs. 300
Option 2: Rs. 330
Option 3: Rs. 360
Option 4: Rs. 420
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: Rs. 360
Solution : Let the sum be divided into two parts P1 and P2. Also, let the interest of the two parts be I1 and I2. For the first part (P1): ⇒ I1 = P1× 0.10 × 1 (1 year) For the second part (P2): ⇒ I2 = P2 × 0.15 × 1 (1 year) Now, P1 × 0.10 × 1 = P2 × 0.15 × 1 Also, P1 + P2 = 6000 ⇒ P2 = 6000 − P1 So, P1 × 0.10 × 1 = (6000−P1) × 0.15 × 1 ⇒ 0.10P1 = 0.15(6000−P1) ⇒ 0.10P1 = 0.15(6000−P1) ⇒ P1 = $\frac{900}{0.25}$ ⇒ P1= Rs. 3600 ⇒ P2 = 6000 − P1 = 6000 − 3600 = Rs. 2400 ⇒ I2 = P2 × 0.15 × 1 ⇒ I2 = Rs. 360 Hence, the correct answer is Rs. 360.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A sum of Rs. 3,500 is lent out at simple interest in two parts. One part at the annual rate of 7% and another part at the annual rate of 5%. If the total annual interest is Rs. 210, then what is the sum lent out at the rate of 7%?
Option 1: Rs. 1,750
Option 2: Rs. 2,000
Option 3: Rs. 1,500
Option 4: Rs. 2,250
Question : On a certain sum, simple interest at the annual rate of 12% for 6 years is Rs. 28800. What will be the compound interest on the same sum at the annual rate of 20% (compounding annually) for 2 years?
Option 1: Rs. 17600
Option 2: Rs. 19200
Option 3: Rs. 12000
Option 4: Rs. 14400
Question : A sum of INR 900 is divided into two parts such that the interest on the first part at 4% simple interest per annum and that on the other part at 2% simple interest per annum are equal. What is the interest accumulated on each part in a year?
Option 1: INR 18
Option 2: INR 6
Option 3: INR 12
Option 4: INR 20
Question : The simple interest received on a sum is $\frac{4}{9}$ of the sum. The number of years is equal to the annual rate of interest. What is the annual rate of interest?
Option 1: 7.5%
Option 2: 6.66%
Option 3: 6%
Option 4: 5.25%
Question : Simple interest on a sum for eight months at the rate of 8 percent per annum is Rs. 240. What is the value of the sum?
Option 1: Rs. 7500
Option 2: Rs. 6000
Option 3: Rs. 7200
Option 4: Rs. 4500
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile