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301.

At what rate percent per annum will a sum of money double in 8 years.

Answer»

12.5%



NA

302.

Find the rate at Simple interest, at which a sum becomes four times of itself in 15 years.

Answer»

20%



LET sum be x and rate be R%
then, (x*r*15)/100 = 3x [important to note here is that SIMPLE interest will be 3x not 4x, BEAUSE 3x+x = 4x]

=> r = 20%

303.

Find the simple interest on Rs. 3000 at 6 1/4% per annum for the period from 4th Feb., 2005 to 18th April, 2005.

Answer»

37.50



NA

304.

A certain sum of money amounts to 5/4 of itself in 5 years. The percent p.a. is.

Answer»

5%



NA

305.

In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?

Answer»

1 1/4 years



Let SUM = X. Then, S.I. = 0.125x = 1/8 x, R = 10%

TIME = (100 * x) / (x * 8 * 10) = 5/4 = 1 1/4 years.

306.

A sum of money trebles itself in 15 years 6 months . In how many years would it double itself ?

Answer»

7 YEARS 9 months



NA

307.

Yogesh borrowed Rs. 12000 at simple interest for 5 years, If he paid Rs. 3600 as simple interest after 5 years, What is the rate of interest per cent per annum ?

Answer»

6



NA

308.

Find simple interest on Rs.6000/- at 7 ½% p.a. for 3years?

Answer»

Rs.1350/-



NA

309.

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.

Answer»

112.50 Rs.



Gain in 2 YEARS= Rs.5000 x 25/4 x 2/100-(5000 x 4 x 2)/100 
= Rs. (625 - 400)
= Rs. 225.
 Gain in 1 year = Rs.225/2= Rs. 112.50

310.

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?

Answer»

1200



P --- 10 ---- 600
P --- 5 -----

311.

A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was.

Answer»

15,000 RS.



15, 000 Rs.

312.

The simple interest on a sum of money at 8% per annum for 6 years is half the sum . The sum is

Answer»

DAA inadequae



NA

313.

A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:

Answer»

16 : 15



NA

314.

Find: S.l. on Rs 3000 at 18% per annum for the period from 4th

Answer»

108



NA

315.

Raju lent Rs. 400 to Ajay for 2 years and Rs. 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.

Answer»

5%



NA

316.

What would be the compound interest obtained on an amount of Rs 6875 at the rate of 8% p.a. after two years ?

Answer»

RS. 1144



Amount = 6875 (1 + 8/100)² 

317.

What would be the compound interest obtained on an amount of Rs 6250 at the rate of 8% p.a. for 2 years ?

Answer»

<P> RS. 1040



CI = P[(1 + r/100)t -1]
= 6250 [(1 + 8/100)² -1]
= 6250 [(27/25)² -1]
= 6250 X [729/625 -1]
= 6250x104/625
= 1040

318.

Find SI if P = Rs. 1000, R = 20% per annum, T = 4 yr

Answer»

800 RS.



800 Rs.

319.

Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?

Answer»

Rs. 828



Let the parts be X, y and [2379 - (x + y)]

x + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)

11x/10 = 23y/20 = 6z/5 = k

x = 10k/11, y = 20k/23, z = 5k/6

But x + y + z = 2379

10k/11 + 20k/23 + 5k/6 = 2379

k = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5

x = [10/11 * (3 * 11 * 23 * 6)/5] = 828

Hence, the first part is Rs. 828.

320.

An amount of Rs 50 lakh becomes Rs 683815.5 after three years at compound interest. What is the rate of interest ?

Answer»

11 %



683815.5/5000000 = (R + r/100)3 
∴ 1 + r/100 = 3√683815.5/5000000
= 3√1367631/1000000 = 3√(111/100)3 
∴ 1 + r/100 = 111/100 = r/100 = 111/100 - 1 = 11/100
∴ r = 11%

321.

A borrow took by a man, for every 12 years it will be 5 times, then what is the rate of the interest?

Answer»

33 1/3%



NA

322.

What would be the simple interest accrued in 4 yr on a principle of ₹ 18440 at the rate 15% per annum ?

Answer»

12985



NA

323.

An employ sell a t.v for Rs.9000/- with 10% simple interest for 5 years on an installment basis. Then How much amount he paid for each installment?

Answer»

Rs.1500/-



NA

324.

₹ 16000 was invested for three years, partly in scheme A at the rate of 5% simple interest per annum and partly in scheme B at the rate of 8% simple interest per annum. The total interest received at

Answer»

4000



NA

325.

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest ?

Answer»

 6%



NA

326.

The compound interest on a certain sum for 2 years is Rs 412 and the simple interest is Rs 400. What is the rate of interest per annum ?

Answer»

6%



In one year SI = 400/2 = 200
∴ Difference (412 - 400 = 12) is the interest on 200 in one year.
∴ Interest on Rs 100 for 1 year= 12/200 X 100 = 6
So rate is 6% per annum.

327.

What will be the difference between the simple and the compound interest at the rate of 15% per annum on a sum of Rs 12000 after 3 years ?

Answer»

RS. 850.5



Required DIFFERENCE = 12000x15² (300 + 15)/(100)(100)(100) 

328.

What is the interest received on a principal of Rs 650 for 3 years if the interest received on Re 1 after 5 years at the same rate of SI is Re 0.50 ?

Answer»

RS. 195



INTEREST on Re 1 in 5 yrs = 0.50
Therefore, Interest on Rs 100 in 5 yrs = 50
Therefore, Interest on Rs 100 ion 1 yrs = 50/5 = 10
Therefore, Interest on Rs 650 = 650 x 3 x 10/100 = 195

329.

Two equal sums of money were invested, one at 4% and the other at 4(1/2)%. At the end of 7 years, the simple interest received from the latter exceeded that received from the former by Rs. 31.50. Each

Answer»

RS. 900



NA

330.

A person takes a loan of Rs. 200 at 5% simple interest . He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay :

Answer»

RS. 115



NA

331.

The simple interest accrued on an amount of Rs. 12450 at the end of 6 years is Rs. 8964. What is the rate of interest per year?

Answer»

12%



NA

332.

A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?

Answer»

Rs. 1500



Let the sum LENT to C be Rs. x. Then,

(2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120

7/25 x = (1120 - 700) => x = 1500

333.

A sum of money doubles in 12 years. In how many years, it will treble at S.I.

Answer»

24 years



NA

334.

The simple interest at x% for x years will be Rs. x on a sum of:

Answer»

 RS. 100x



NA

335.

Deepa invested an amount of Rs. 9450 at the rate of 5% per annum for 3 years. What approximate compound interest will she get at the end of three years ?

Answer»

<P> RS 1490



A = P(1 + R/100)1 

336.

What would be the Compound interest accrued on an amount of Rs 16,000 at the rate of 10 p.c.p.a. at the end of three years ?

Answer»

RS. 5296



Reqd AMOUNT = 33.1% of 16,000 = 5296

337.

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

Answer»

6



Let rate = R% and TIME = R YEARS

Then, (1200 * R * R) / 100 = 432 

12R2 = 432 

R2 = 36 => R = 6.

338.

A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs 360 more. Find the sum.

Answer»

Rs.6000



NA

339.

A sum of Rs. 18,750 is left by will by a father to be divided between two sons, 12 and 14 years of age, so that when they attain maturity at 18, the amount (principal + interest) received by each at 5

Answer»

RS. 9,000, Rs. 9,750



NA

340.

What would be the compound interest obtained on an amount of Rs 2700 at the rate of 9% p.a. after 2 years ?

Answer»

RS. 507.87



CI = 2700(1 + 9/100)² - 2700
= 2700 (109/100)² - 2700 = 320787/100 - 2700
= 3207.87 - 2700 = 507.87

341.

A certain amount earns simple interest of Rs. 2500 after 5 years. If the rate of interest increases by 3 %,how much more interest would it have earned?

Answer»

Cannot determind



NA

342.

If Rs. 85 amount to Rs. 95 is 3 years, what will Rs 102 amount to in 5 years at the same rate percent.

Answer»

122



NA

343.

At what rate of interest is an amount doubled in two years, when compounded annually?

Answer»

41.4%



NA

344.

An amount of money grows up to Rs 11520 in 2 years and up to Rs 13824 in 3 years on compound interest.What is the sum ?

Answer»

RS 8000



Sum= 11520 X (11520/13824)² = 8000

345.

The rate of interest is 4% and the interest is compounded three- monthly. What will be the amount if a man invests Rs. 2000 for 1 year under this scheme?

Answer»

RS. 2081.21



Rs. 2081.21

346.

A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged a

Answer»

$504



NA

347.

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amon

Answer»

8



NA

348.

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth-year?

Answer»

1200 RS.



1200 Rs.

349.

The simple interest accrued on an amount of Rs. 9,530 at the end of 6 years is Rs.2,859. What is the rate of interest p.c.p.a. ?

Answer»

5 %



5 %

350.

Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 21 in two years, at the same percent rate per annum?

Answer»

RS. 200



SI in 2 YEARS = Rs. 20, SI in 1 year = Rs. 10 
CI in 2 years = Rs. 21
% rate per annum = [(CI – SI) / (SI in 1 year)] *100
= [(21 – 20) / 20] * 100
= 5 % p.a.
Let the principal be Rs. X
Time = T = 2 years
% rate = 5% p.a. 
SI = (PRT/100)
20 = (X*5*2) / 100
X = Rs. 200