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A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 112 more. The sum is:
- a)1120
- b)1400
- c)1200
- d)8000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A sum was put at simple interest at a certain rate for 2 years. Had it...
The correct answer is C as let principle be p , rate be r , si be x . Also t = 2yrs.
so , x = (p*r*2)/100
x = 2pr/100 _____(1)
If rate = r+4 , si = x+112 then
x+112 = (p*(r+4)*2)/100
x+112 = 2p(r+4)/100
2pr/100+112 = (2pr+8p)/100 (using eq(1))
(2pr+11200)/100 = (2pr+8p)/100
2pr+11200 = 2pr+8p
11200 = 8p
p = 1400
Correct ans is b) 1400
so , x = (p*r*2)/100
x = 2pr/100 _____(1)
If rate = r+4 , si = x+112 then
x+112 = (p*(r+4)*2)/100
x+112 = 2p(r+4)/100
2pr/100+112 = (2pr+8p)/100 (using eq(1))
(2pr+11200)/100 = (2pr+8p)/100
2pr+11200 = 2pr+8p
11200 = 8p
p = 1400
Correct ans is b) 1400
Most Upvoted Answer
A sum was put at simple interest at a certain rate for 2 years. Had it...
Problem: A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 112 more. The sum is:
Solution:
Let the sum be x and the rate of interest be y% per annum.
According to the problem,
Simple Interest on x at the rate of y% for 2 years = xy/50
Simple Interest on x at the rate of (y+4)% for 2 years = x(y+4)/50
Given, x(y+4)/50 - xy/50 = 112
=> xy + 4x - xy = 5600
=> x = 5600/4
=> x = 1400
Therefore, the sum is Rs. 1400.
Answer: Option B.
Solution:
Let the sum be x and the rate of interest be y% per annum.
According to the problem,
Simple Interest on x at the rate of y% for 2 years = xy/50
Simple Interest on x at the rate of (y+4)% for 2 years = x(y+4)/50
Given, x(y+4)/50 - xy/50 = 112
=> xy + 4x - xy = 5600
=> x = 5600/4
=> x = 1400
Therefore, the sum is Rs. 1400.
Answer: Option B.
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Community Answer
A sum was put at simple interest at a certain rate for 2 years. Had it...
The correct answer is C as let principle be p , rate be r , si be x . Also t = 2yrs.
so , x = (p*r*2)/100
x = 2pr/100 _____(1)
If rate = r+4 , si = x+112 then
x+112 = (p*(r+4)*2)/100
x+112 = 2p(r+4)/100
2pr/100+112 = (2pr+8p)/100 (using eq(1))
(2pr+11200)/100 = (2pr+8p)/100
2pr+11200 = 2pr+8p
11200 = 8p
p = 1400
Correct ans is b) 1400
so , x = (p*r*2)/100
x = 2pr/100 _____(1)
If rate = r+4 , si = x+112 then
x+112 = (p*(r+4)*2)/100
x+112 = 2p(r+4)/100
2pr/100+112 = (2pr+8p)/100 (using eq(1))
(2pr+11200)/100 = (2pr+8p)/100
2pr+11200 = 2pr+8p
11200 = 8p
p = 1400
Correct ans is b) 1400
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A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 112 more. The sum is:a)1120b)1400c)1200d)8000e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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