SSC CGL Exam  >  SSC CGL Questions  >  A sum of money is deposited for 2 years with ... Start Learning for Free
A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?
  • a)
    6.25
  • b)
    6.67
  • c)
    5
  • d)
    4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A sum of money is deposited for 2 years with different rates of compou...
Given Data:
- Amount after 1 year = Rs. 12X
- Amount after 2 years = Rs. 13X
- Increase in the sum in 2 years = 12.67%

Calculation:
- Let the principal amount be P and the rate of interest for the first year be R%.
- Amount after 1 year = P(1 + R/100) = 12X
- Amount after 2 years = P(1 + R/100)^2 = 13X
- Increase in the sum in 2 years = (Amount after 2 years - Principal)/Principal * 100 = 12.67%
- Substituting the given values, we get:
(13X - P)/P * 100 = 12.67%
13X - P = 0.1267P
13X = 1.1267P
- From the given data, we have P(1 + R/100) = 12X
- Substituting P = 12X/(1 + R/100) into the equation 13X = 1.1267P, we get:
13X = 1.1267 * (12X/(1 + R/100))
13 = 1.1267 * 12/(1 + R/100)
1 + R/100 = 1.1267 * 12/13
R/100 = 0.1043
R = 10.43%
Therefore, the rate of interest in the first year is approximately 10.43%, which is closest to option 'D' (4).
Free Test
Community Answer
A sum of money is deposited for 2 years with different rates of compou...

Let the amount at the end of the first year = A1 and at the end of 2 years = A2
Principal : A1 : A2 = P : 12X : 13X
P : A2 = 300 : 338
13X = 338
So, 12X = 312
P : A1 = 300 : 312
Rate of interest in first year

Hence, Option D is correct.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer?
Question Description
A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A sum of money is deposited for 2 years with different rates of compound interest for different years. The sum becomes Rs. 12X in 1 year and Rs. 13X in 2 years. If the sum increases by 12.67% in two years, what was the rate of interest in the first year?a)6.25b)6.67c)5d)4Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev