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A Learning Portal from Recruitment India
Shubhranshu deposited Rs 8000 at simple interest which amounted to Rs 9200 after 3 years . Had the interest been 2% more, how much amount she would have got?
Rs 9272
Rs 9680
Rs 1680
Answer with explanation
Answer: Option CExplanation
—-> Amount = simple interest + principal
—-> 9200 = simple interest + 8000
—-> simple interest = 9200 – 8000
—-> = Rs 1200
—-> if r % be the rate of interest ,
—-> Then from, simple interest = ((principal * rate% * time)/100)
—-> 1200 = ((8000 * r * 3)/100)
—-> r = 5%
—-> 2% more interest that is 7% interest
—-> simple interest = ((8000 * 7 * 3)/100)
—-> = Rs 1680
—-> thus amount he will get is Rs 8000 + Rs 1680 = Rs 9680
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A certain sum of money at simple interest amounts to Rs. 1260 in 2 years and to Rs. 1350 in 5 years. The rate percent per annum is?
4.50 %
3.50 %
2.50 %
1.50 %
Answer with explanation
Answer: Option CExplanation
A certain sum of money at simple interest amounts to Rs.1260 in 2 years
The same sum of money at simple interest amounts to Rs.1350 in 5 years
Formula used:
S.I = ( P × N × R)/100
Calculation:
Let the Principal be P
S.I for 3 years = 1350 – 1260 = Rs.90
⇒ S.I for 1 year = 90/3 = Rs.30
⇒ S.I for 2 years = 30 × 2 = Rs.60
∴ Principal, P = 1260 – 60 = Rs.1200
Now,
S.I = ( P × N × R)/100
60 = (1200 × 2 × R)/100
∴ R = (60 × 100)/(1200 × 2) = 2.50%
∴ Rate of interest is 2.50%
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Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
7500
6500
6400
7200
Answer with explanation
Answer: Option CExplanation
Explanation: Let the sum invested in Scheme A be x and that in Scheme B be (13900 – x).
Then, (x x 14 x 2)/100 + ((13900 – x) x 11 x 2)/100 = 3508
28x – 22x = 350800 – (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = (13900 – 7500) = 6400.
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The SI on certain sum of money for 23 months at the rate of 7% per annum exceeds the SI on the same sum at 7% per annum for 19 months by Rs. 672. Then find the sum
Rs. 18600
Rs. 16800
Rs. 24400
Rs. 28800
Answer with explanation
Answer: Option DExplanation
Let the sum be P.
—> Then, ((P * 7 * 23)/12 * 100) – ((P * 7 * 19)/ 12 * 100 ) = 672
—> or, 161P – 133P = 672 * 100 * 12
—> P = ((672 * 100 * 12)/28) = Rs. 28800
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A certain total of cash gets to be three times of itself in20 years at basic premium. In how long does it turns out to be twofold of itself at the same rate?
12 years
8 years
10 years
14 years
Answer with explanation
Answer: Option CExplanation
Let the sum be Rs. x. Then, S.I in 20 years = Rs. (3x-x) = Rs.2x Rate = (100*S.I/ R*T) = (100*2x/x*20) % P.a. = 10% P.a. Now, sum = Rs. x, Rate = 10% P.a., S.I = Rs. x. ∴ Time = (100*s.I/ P*R) = (100*x/x*10) years = 10 years.
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