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Question 1 of 5
1. Question
Suma invested Rs.80000 in two different parts one at the rate of 20% CI per annum and another one at the rate of 15% SI per annum. If he interchanges the rate of interest he got Rs.2875 less at the end of two years, and then find the difference of the two sums
Correct
Answer: Option (c)
Explanation
Let us take one part as x and another part as 80000-x
Given,
(44/100*x+(80000-x)*30/100)-(x*32.25/100+(80000-
x)*40/100)=2875
14x+7.75x-940000=-287500
21.75x=652500
X=30000
Required difference = (80000-30000)-30000=20000
Incorrect
Answer: Option (c)
Explanation
Let us take one part as x and another part as 80000-x
Given,
(44/100*x+(80000-x)*30/100)-(x*32.25/100+(80000-
x)*40/100)=2875
14x+7.75x-940000=-287500
21.75x=652500
X=30000
Required difference = (80000-30000)-30000=20000
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Question 2 of 5
2. Question
A mother left a will of Rs.5 lakhs between his two daughters aged 10 and 15 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.5 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?
Correct
Answer: Option (a)
Explanation
Let Rs.x be the amount that the elder daughter got at the
time of the will. Therefore, the younger daughter got
(5,00,000 – x).
The elder daughter’s money earns interest for (21 – 15) =
6 years @ 10% p.a simple interest
The younger daughter’s money earns interest for (21 –
10) = 11 years @ 10% p.a simple interest.
As the sum of money that each of the daughters get when
they are 21 is the same,
x + (6*10*x/100)= (5,00,000 – x) +(11*10*[5,00,000-
x]/100)
100x+60x = (5,00,000-x)+(55,000,000-110x)
160x =55,500,000-111x
271x = 55,500,000
X = 2,04,797
Incorrect
Answer: Option (a)
Explanation
Let Rs.x be the amount that the elder daughter got at the
time of the will. Therefore, the younger daughter got
(5,00,000 – x).
The elder daughter’s money earns interest for (21 – 15) =
6 years @ 10% p.a simple interest
The younger daughter’s money earns interest for (21 –
10) = 11 years @ 10% p.a simple interest.
As the sum of money that each of the daughters get when
they are 21 is the same,
x + (6*10*x/100)= (5,00,000 – x) +(11*10*[5,00,000-
x]/100)
100x+60x = (5,00,000-x)+(55,000,000-110x)
160x =55,500,000-111x
271x = 55,500,000
X = 2,04,797
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Question 3 of 5
3. Question
Karan invested Rs.2400 and Rs.3000, one at the rate of 10% SI per annum and another at x% SI per annum respectively. If he interchanges the rate of interest he got Rs.120 more at the end of two years, and then find the value of x
Correct
Answer: Option (b)
Explanation
(3000*2x/100+2400*20/100)-
(3000*20/100+2400*2x/100)=120
(60x+480)-(600+48x)=120
12x=240=>x=20%
Incorrect
Answer: Option (b)
Explanation
(3000*2x/100+2400*20/100)-
(3000*20/100+2400*2x/100)=120
(60x+480)-(600+48x)=120
12x=240=>x=20%
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Question 4 of 5
4. Question
Ambika invested some amount in SI at the rate of x% per annum for 2 years and Mahima also invested some amount at the rate of 20% CI per annum for 3 years and he received total interest Rs.2275. Find the value of x if Mahima invested Rs.625 less than Ambika and interest received is Rs.25 more than Ambika.
Correct
Answer: Option (d)
Explanation
Let us take Mahima’s sum be y
2275=Y ((1+20/100)3-1)
2275*125/91=Y
=>Y=3125
Ambika’s investment and interest are 3750 and 2250
3750*x*2/100=2250
=>x=30%
Incorrect
Answer: Option (d)
Explanation
Let us take Mahima’s sum be y
2275=Y ((1+20/100)3-1)
2275*125/91=Y
=>Y=3125
Ambika’s investment and interest are 3750 and 2250
3750*x*2/100=2250
=>x=30%
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Question 5 of 5
5. Question
The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly?
Correct
Answer: Option (a)
Explanation
For 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is
thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = Rs.100*2008*1 = Rs.2500
Amount for 2 years, compounded half-yearly
Rs.2500*1+41004=Rs.2924.4
C.I = Rs.424.64
Also, S.I=Rs.2500*8*2100=Rs.400
Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64
Incorrect
Answer: Option (a)
Explanation
For 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is
thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = Rs.100*2008*1 = Rs.2500
Amount for 2 years, compounded half-yearly
Rs.2500*1+41004=Rs.2924.4
C.I = Rs.424.64
Also, S.I=Rs.2500*8*2100=Rs.400
Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64