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The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.
- a)Rs. 6000
- b)Rs. 6200
- c)Rs. 6300
- d)Rs. 6400
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The difference in S.I. and C.I. on a certain sum of money in 2 years a...
SI = P×2×15/100
CI = P (1+15/100)^2
CI > SI
CI - SI =144
(529P/400 - 1P) - 0.3P = 144
0.3225P - 0.3P =144
0.0225P = 144
P = 144 ×10000/225
P = 6400
Hence proved ;)
CI = P (1+15/100)^2
CI > SI
CI - SI =144
(529P/400 - 1P) - 0.3P = 144
0.3225P - 0.3P =144
0.0225P = 144
P = 144 ×10000/225
P = 6400
Hence proved ;)
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Community Answer
The difference in S.I. and C.I. on a certain sum of money in 2 years a...
The problem involves finding the principal (sum of money) when the difference between Simple Interest (S.I.) and Compound Interest (C.I.) for 2 years at a rate of 15% p.a. is given as Rs. 144.
Formula for the difference between S.I. and C.I. for 2 years:
Formula for the difference between S.I. and C.I. for 2 years:
Difference = P × (R/100)²
Where:
P = Principal (sum of money to find)
R = Rate of interest (15% = 15/100 = 0.15)
Difference = Rs. 144 (given)
Substituting values into the formula:
144 = P × (0.15)²
144 = P × 0.0225
P = 144 / 0.0225
P = 6400
Final Answer:
The principal (sum of money) is Rs. 6400, which matches Option d).
Formula for the difference between S.I. and C.I. for 2 years:
Formula for the difference between S.I. and C.I. for 2 years:
Difference = P × (R/100)²
Where:
P = Principal (sum of money to find)
R = Rate of interest (15% = 15/100 = 0.15)
Difference = Rs. 144 (given)
Substituting values into the formula:
144 = P × (0.15)²
144 = P × 0.0225
P = 144 / 0.0225
P = 6400
Final Answer:
The principal (sum of money) is Rs. 6400, which matches Option d).
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The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer?.
The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.a)Rs. 6000b)Rs. 6200c)Rs. 6300d)Rs. 6400Correct answer is option 'D'. Can you explain this answer?.
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