📊 Math
Q. Two people invest Rs. 2000 and Rs. 3000 respectively at same simple interest rate for same time. How will total interest be divided between them?
  • (A) 1:1
  • (B) 2:3
  • (C) 3:2
  • (D) 2:5
💬 Discuss
✅ Correct Answer: (B) 2:3

Explanation: Interest share ∝ principal at same rate and time. Ratio 2000:3000 simplifies to 2:3. Other options are incorrect simplifications.

📊 Math
Q. If simple interest on a sum for 2 years is 10% of the sum, what is the annual rate?
  • (A) 5%
  • (B) 10%
  • (C) 2.5%
  • (D) 20%
💬 Discuss
✅ Correct Answer: (A) 5%

Explanation: SI for 2 years = 10% ⇒ per year = 10%/2 = 5%. Option2 is total for 2 years, not annual. Options 3 and 4 wrong.

📊 Math
Q. How many years will it take for Rs. 600 to earn Rs. 90 as simple interest at 3% per annum?
  • (A) 4 years
  • (B) 5 years
  • (C) 6 years
  • (D) 3 years
💬 Discuss
✅ Correct Answer: (B) 5 years

Explanation: T = SI×100/(P×R) = 90×100/(600×3) = 9000/1800 = 5 years. Other choices don't match the division.

📊 Math
Q. If simple interest on an amount for 5 years at 4% p.a. is Rs. 240, what is the principal?
  • (A) Rs. 1200
  • (B) Rs. 1000
  • (C) Rs. 1500
  • (D) Rs. 800
💬 Discuss
✅ Correct Answer: (A) Rs. 1200

Explanation: P = SI×100/(R×T) = 240×100/(4×5) = 24000/20 = 1200. Other options produce incorrect backward-calculations.

📊 Math
Q. Principal Rs. 1000 becomes Rs. 1250 after 4 years on simple interest. What is the annual rate?
  • (A) 6.25%
  • (B) 5%
  • (C) 7.5%
  • (D) 8.5%
💬 Discuss
✅ Correct Answer: (A) 6.25%

Explanation: SI = 1250−1000 = 250. R = SI×100/(P×T) = 250×100/(1000×4) = 25000/4000 = 6.25%. Other options wrong.

📊 Math
Q. A principal becomes 1.5 times itself in 4 years under simple interest. What is the yearly rate?
  • (A) 10%
  • (B) 12.5%
  • (C) 15%
  • (D) 8%
💬 Discuss
✅ Correct Answer: (B) 12.5%

Explanation: If A = 1.5P then SI = 0.5P = P×R×4/100 ⇒ 0.5 = 4R/100 ⇒ R = (0.5×100)/4 = 50/4 = 12.5%. Others are incorrect.

📊 Math
Q. Which of the following changes will NOT change the simple interest earned?
  • (A) Changing the principal
  • (B) Changing the rate
  • (C) Changing the time period
  • (D) Changing the method to compound interest while keeping P,R,T same
💬 Discuss
✅ Correct Answer: (D) Changing the method to compound interest while keeping P,R,T same

Explanation: Switching to compound interest changes the interest amount (it will generally increase), so under the strict phrasing 'will NOT change the simple interest earned', none of the first three leave SI unchanged, but changing method means you're no longer computing SI — this option is tricky: the simple interest formula values depend on P,R,T; changing to compound interest does not change the computed SI value mathematically, but the actual interest earned would differ. The better reading: the simple interest computed from P,R,T stays same if P,R,T unchanged; hence options1-3 change SI and option4 changes the interest actually received. (Interpretation note: correct answer chosen for exam-style framing.)

📊 Math
Q. Simple interest on Rs. 200 for 3 years is Rs. 30. What is the annual rate?
  • (A) 4%
  • (B) 5%
  • (C) 6%
  • (D) 7%
💬 Discuss
✅ Correct Answer: (B) 5%

Explanation: R = SI×100/(P×T) = 30×100/(200×3) = 3000/600 = 5%. Other options are incorrect.

📊 Math
Q. A loan of Rs. 1200 is repaid after 2 years by paying Rs. 1320. What was the yearly simple interest rate?
  • (A) 4%
  • (B) 5%
  • (C) 6%
  • (D) 7%
💬 Discuss
✅ Correct Answer: (B) 5%

Explanation: SI = 1320−1200 = 120. R = SI×100/(P×T) = 120×100/(1200×2) = 12000/2400 = 5%. Other options do not satisfy the calculation.

📊 Math
Q. The amount after 2 years at simple interest is Rs. 1210 and the rate is 5% per annum. What was the principal?
  • (A) Rs. 1100
  • (B) Rs. 1150
  • (C) Rs. 1000
  • (D) Rs. 1200
💬 Discuss
✅ Correct Answer: (A) Rs. 1100

Explanation: With R=5% and T=2, total percent = 1 + (5×2)/100 = 1 + 0.10 = 1.1. So P = Amount/1.1 = 1210/1.1 = 1100. Other options give wrong division results.