- Find the difference between the interests earned on Rs. 15000 after two years in two different schemes one offering 12% simple interest and other offering 12% compound interest compounded annually.
Rs.180Rs.198Rs.222Rs.200Rs.216Option E

S.I. = 15000*0.12*2 = Rs.3600

C.I. = 15000*{(1+0.12)^2 – 1} = Rs.3816

Required Difference = Rs.216 - Abhi invested a certain amount of money in a scheme offering 20% compound interest for two years. Mona invested Rs.1000 more than Abhi in another scheme offering 25% simple interest for two years. Find the amount invested by Abhi if the difference in the interest earned by Abhi and Mona is Rs.1310.
Rs.12000Rs.13500Rs.14400Rs.15600Rs.18100Option B

Let the amount invested by Abhi and Mona be Rs.x and Rs.’x+1000’resp.

Interest earned by Abhi = x*{(1+0.20)^3 – 1}= Rs.0.44x

Interest earned by Mona = (x+1000)*0.25*2 = Rs.0.5x+500

Now, 0.5x+500 â€“ 0.44x = 1310

=> x = Rs.13500 - Divide Rs. 3364 between A and B, so that A’s Share at the end of 5 years may equal to B’s share at the end of 7 years, compound interest being at 5 percent. Find B’s share
Rs.1400Rs.1800Rs.1200Rs.1000Rs.1600Option E

(A’s present share)(1+5/100)^5 = (B’s present share)(1+5/100)^7

=>(A’s present share)/( B’s present share) = 441/400

Aâ€™s present share = 441/(441+400)*3364 = Rs.1764

Bâ€™s present share = 3364 â€“ 1764 = Rs.1600 - Sahil invested Rs. 84000 in a scheme offering simple interest for three years. Rate of interest for first year, second year and third year is 20%, 24% and 25% resp. Find the interest earned by him after three years.
Rs.55500Rs.58500Rs.57960Rs.55400Rs.56660Option C

Interest earned after three years

= 84000*(0.20+0.24+0.25) = Rs.57960 - Aman invested Rs.17000 partially in a scheme A, offering 12 compound interest compounded annually and rest in scheme B offering 15% simple interest. Find the amount invested in scheme A, if the total interest earned by him after two years is Rs.4644.
1000050000400003000020000Option A

Let the amount invested in scheme A be x.

Interest earned by scheme A = x*{(1+0.12)^2 – 1} = Rs.0.2544x

Amount invested in scheme B = Rs.(17000 – x)

Interest earned by scheme B = (17000 – x)*0.15*2 = Rs.(5100 â€“ 0.3x)

0.2544x + 5100 â€“ 0.3x = 4644

=> x = 10000 - Gopal invested Rs.16000 in a scheme offering 10% compound interest for three years compounded annually. Vimal invested Rs.21000 in a scheme offering 8% simple interest for three years. Find the difference in the interest earned by both of them.
Rs.280Rs.274Rs.256Rs.220Rs.200Option C

Interest earned by Gopal = 16000*{(1+0.10)^3 – 1}

= Rs.5296

Interest earned by Vimal = 21000*0.08*3 = Rs.5040

Required Difference = Rs.256 - Vikky invested Rs.27,000 partially in a scheme A offering 13% simple interest and rest in scheme B offering 10% compound interest compounded annually. The amount invested in scheme B is how much percent less/more than the amount invested in scheme A if the total interest earned by Vikky after three years is Rs.9822?
24%30%50%10%20%Option E

Let the amount invested by him in scheme A be x.

The amount invested by him in scheme B = 27000 â€“ x

Interest earned from A = x*0.13*3 = Rs. 0.39x

Interest earned from B = (27000 – x)*{(1+0.10)^3 – 1} = Rs.8937 â€“ 0.331x

Now, 0.39x +8937- 0.331x = 9822

=> x = 15000

Required% = (15000 – 12000)/15000*100 = 20% - Jenny invested an amount of Rs. 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 Rs. 3508, what was the amount invested in Scheme B?
Rs. 5500Rs. 5000Rs. 6400Rs. 6000Rs. 6400Option E

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 – x).

[xx14x2]/100 + [(13900 – x)x11x2]/100 = 3508

=>28x – 22x = 350800 – (13900 x 22)

=> 6x = 45000 x = 7500

Sum invested in Scheme B = Rs. (13900 – 7500) = Rs. 6400 - A and B invested some amounts in schemes offering simple interest at rate of 8% and 12% per annum resp. A and B deposited their respective amounts for 4 years and 2 years resp. and the interest earned by both of them found to be same. If the amount invested by A is Rs.7000 less than the amount invested by B, find the average of the amounts invested by both of them.
Rs.26200Rs.23300Rs.21200Rs.24500Rs.22000Option D

Let the amount invested by B be x.

The amount invested by A be (x-7000)

Now, x*12%*2 = (x-7000)*8%*4

=> x = 28000

Required average = (28000+21000)/2 = Rs.24500 - Danish invested Rs. x in a scheme offering 12% simple interest for three years. Reena invested Rs. (x+3000) in a scheme offering 10% compound interest for three years. Find the value of x if the interest earned by Reena is Rs.761 more than the interest earned by Danish.
60008000700040005000Option B

Interest earned by Danish = x*0.12*3 = Rs.0.36x

Interest earned by Reena = (x+3000){(1+0.10)^3 -1} = Rs.(0.331x + 993)

Now, 0.331x + 993 â€“ 0.36 = 761

=> x = 8000

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