Shweta deposits a certain amount on 1st January and 1st July (Same amount on both days) in a bank that offers 5% compound interest, compounded half-yearly. Shweta gains interest of Rs.121 at the end of the year. How much money did Shweta deposit?
a) 1200
b) 1300
c) 1400
d) 1500
e) 1600

1 Answer

Answer :

Let the amount be P
Half yearly rate = 5/2 = 2.5%
For the deposit on January, Amount = P (1 + 2.5 / 100)2
For the deposit on July, Amount = P (1 + 2.5 /100)
We can solve the question by substituting options now.
If P = 1600, Amount in January = 1600 × 1.025 × 1.025 = 1681
Amount in July = 1600 × 1.025 = 1640
So total interest = 81 + 40 = 121
Required answer is 1600
Answer: e)

Related questions

Description : Mr. Sathyan invested Rs.20, 000/- with rate of interest@20 p.c.p.a. The interest was compounded half yearly for first one year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years? a) Rs.7600 b) Rs. 9040 c) Rs. 8750 d) Rs. 6900

Last Answer : Total interest = 20000 × 110/100 × 110/100 × 120/100 - 20000 = 29040 - 20000= Rs. 9040 Answer: b)

Description : Simple interest on a certain sum of money for 4 years at 5% per annum is half the compound interest on Rs. 8000 for 2 years at 10% per annum. The sum placed on simple interest is: a) Rs.4200 b) b)Rs.4250 c) Rs.5250 d) Rs.5200 e) Rs.4000

Last Answer : a C.I = 8000 * (1+(10/100))2 –8000  = 8000 *110/100 * 110/100 – 8000 = 9680 – 8000 = Rs.1680 Therefore, S.I = C.I / 2 = 1680 / 2=Rs. 840 840 = sum * 4 * 5 / 100 :. Sum = Rs.(840 * 100)/ (4 *5) = Rs.4200

Description : The rate of Simple Interest in UBI & BOI are in the ratio of 5:4. Mr.Naveen wants to deposit his total savings in two banks in such a way that he receive equal half-yearly interest from both banks.He should deposit in both banks UBI & BOI in the ratio of a) 2:5 b) 1:5 c) 4:5 d) 3:5 e) None of these

Last Answer : R1 =5x R2=4x T1=T2=1/2 yr [P1*5x*(1/2)]/100 = [P2*4x*(1/2)]/100 P1:P2 = 4:5 Answer: c)

Description : A present sum of Rs. 100 at the end of one year, with half yearly rate of interest at 10%, will be Rs. (A) 121 (B) 110 (C) 97 (D) 91

Last Answer : (A) 121

Description : Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest? 1) 14% 2) 16% 3) 12.5% 4) 15% 5) 15.5%

Last Answer : 4) 15%

Description : Two equal sums are lent at the same time at 6% and 5 % simple interest respectively. The former is recovered 24 months earlier than the latter. And the amount in each case is Rs. 2400. Find the sum of money lent initially. a) 1500 b) 2000 c) 2400 d) 3000 e) 3600

Last Answer : Let the sum be S, time be ‘n’ years for 6%. n+2 years for 5% 2400 = S + S ×n × 6/100 2400 = S + S × (n+2) × 5/100 So, 6n = 5(n+2) or n = 10 years. 2400 = S + S × 10 × 6/100 = 1.6S S = 2400/1.6 = 1500 Answer: a)

Description : A article is listed at Rs. 2000 and a discount of 20% is offered on the list price .What additional discount must be offered to the customer bring the net price to Rs. 1400? A. 12.5% B. 10% C. 12% D. 15%

Last Answer : Answer – A. 12.5% Explanation – S.P after 1st discount, 100%………2000 80%………? ?=2000×80/100=1600 Net S.P = Rs. 1400. Discount on Rs. 1600 = Rs. 200. ∴Required discount = (200/1600 x 100)% =12.5%

Description : The compound interest accrued on an amount of Rs. 25,500 at the end of three years is Rs. 8,440.5.What would be the simple interest accrued on the same amount at the same rate in the same period? a) Rs. 5,450/- b) Rs. 8,750/- c) Rs. 4,350/- d) Rs. 3,650/- e) Rs. 7,650/- 

Last Answer : A = P + Interest = 25500 + 8440.5 = 33940.5 A = P + 1 + (R/100)^3 33940.5 = 25500 a + R/100)^3 a + R/100)^3 = 33940.5 / 25500 a + R/100)^3 = 1.331 a + R/100)^3 = ... R = 10% Simple Interest = Principle Rate Time / 100 = 25500 10 3/100 = 7650 Answer: e)

Description : What has cidney savings account with National Bank. She earns 4 interest compounded yearly on 1250.00. What amount will she receive in interest in three years?

Last Answer : What is the answer ?

Description : What is the rate of interest in PPF wef 01 Apr 12 ? a) 8.8% per annum compounded yearly b) 8.5% per annum compounded yearly c) 8.6 % per annum compounded yearly d) None of these

Last Answer : a) 8.8% per annum compounded yearly

Description : A man sells two houses at the rate of Rs.1.995 lakh each. On one he gains 5% and on the other he loses 5%. His gain or loss per cent in the whole transaction is a) 0.25% loss b) 0.25% gain c) 2.5% loss d) 2.5% gain e) 1.25% loss

Last Answer : a) 0.25% loss

Description : Some amount out of Rs. 10000 was lent at 6 % p.a. and the remaining at 4% p.a. If the total simple interest from both the fractions in 5 years was Rs. 1500, then the ratio of the 2 different amount is A)1:3 B)3:1 C)1:4 D)3:2

Last Answer : A)1:3

Description : Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.? A.Rs.1800 B.Rs.2200 C.Rs.1200 D.Rs.1500

Last Answer : Answer:- C (1200) Explanation:- let total profit =x ashok's share in profit is (1/10)x remaining profit = x= (1/10)x= (9/10)x pramod's share= 1/3 x (9/10)x = (3/10 )x Prakash's share= 2/3 ... /10)x = (5/10)x 5/10 x = 2,000 so, x= 4000 pramod's share= (3/10) x 4000=1200

Description : The brain of human adult weighs about - (1) 1200 - 1300 gm (2) 1600 - 2000 gm (3) 500 - 800 gm (4) 104 - 200 gm

Last Answer : (1) 1200 - 1300 gm Explanation: The adult human brain weighs on average about 3 lbs. (1.5 kg) with a volume of around 1130 cubic centimetres (cm3) in women and 1260 cm3 in men, although ... same general structure as the brains of other mammals, but is larger than any other in relation to body size.

Description : The brain of human adult weighs about-----? A. 1200 – 1300 gm (Answer) B. 1600 – 2000 gm C. 500 – 800 gm D. 100 – 200 gm

Last Answer : A. 1200 – 1300 gm (Answer)

Description : The brain of human adult weighs about (1) 1200 – 1300 gm (2) 1600 – 2000 gm (3) 500 – 800 gm (4) 100 – 200 gm

Last Answer :  1200 – 1300 gm

Description : P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Last Answer : Answer- B (Rs.1500) Explanation: Let the total profit be Rs. 100. After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57. If A’s share is Rs. 57, total profit = Rs. 100. If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.

Description : Mark the correct option a) Interest at 10% per annum is charged on the loan compounded half yearly b) Second loan is not admissible until first loan is cleared. c) Loan are not available on AEA policies ... policy by dept only from the date of acceptance of the proposal by the CPMG e) All the above

Last Answer : e) All the above

Description : A sum of Rs. 1550 was lent partly at 5% and partly at 8% per annum simple interest. The total interest received after 4 yr was Rs. 400. The ratio of the money lent at 8% to that lent at 5% is? (a) 15:16 (b) 16:17 (c) 19:17 (d) 21:26 (e) 20:17

Last Answer : (a) 15:16

Description : Effective and nominal interest rates are equal, when the interest is compounded (A) Annually (B) Fortnightly (C) Monthly (D) Half-yearly

Last Answer : (A) Annually

Description : If the interest rate of 10% per period is compounded half yearly, the actual annual return on the principal will be __________ percent. (A) 10 (B) 20 (C) > 20 (D) < 20

Last Answer : (C) > 20

Description : If the compound interest accrued on an amount of Rs.15,000/- in two years is Rs.2,496/-.What is the rate of interest p.c.p.a.? a) 8 b) 12 c) 7.5 d) Cannot be determined e) None of these

Last Answer : Let the rate of interest p.c.p.a. be x. 2496 =15000 * x /100 x = 16.64 16.64 is the rate of interest compounded for two year & for one year = 8% 8% C.I. table for two year. I year = 8% II year = 8.64 Total =16.64% Answer: a)

Description : Some amount out of Rs.8500 was lent at 5% per annum and the remaining was lent at 3% per annum. If the total simple interest from both the fractions in4 years was Rs.1500, the sum lent at 5% per annum was a) Rs. 2400 b) Rs. 2200 c) Rs. 2000 d) Rs. 6000

Last Answer : D Total simple interest received , I = Rs.1500 Principal , p = 8500 period, n = 4 years Rate of interest, r = ? Simple Interest, I=PNR/100 1500 = ( 8500 4 r )/ 100  = ... total amount is Rs.8500.  Therefore, the amount lent at 5% per annum (part1 amount) = 8500x12/17  = 6000 

Description : A father runs after his son, who is 1000 meters ahead. The father runs at a speed of 1 kilometre every 8 minutes, and the son runs at a speed of 1 kilometer every 12 minutes. How much distance has ... father overtakes him? a) 2500 meters b) 2000 meters c) 1500 meters d) 1000 meters e) 1200 meters

Last Answer : Time taken is same for both father and son Let x be the distance son travelled before being overtaken by his father Time taken by son = x/5 km/hour Time taken by father = (1000 + x) / 7.5 km/hr Since, time taken is same x/5 = (1000 + x) / 7.5 or x = 2000m Answer: b)

Description : The annual payment of Rs. 200 in 5 yr at 5% per annum simple interest will discharge a debt of? (a) Rs. 950 (b) Rs. 800 (c) Rs. 1000 (d) Rs. 1250 (e) None of the above

Last Answer : e) None of the above

Description : Mr. Xavier invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including ... . 81,000/- (c) Rs. 60,000/- (d) Rs. 65,000/- (e) None of these

Last Answer : (a) Rs. 75,000/-

Description : Ashwin purchased a second hand machine for Rs.1 lakh. Over the first year after its purchase. He incurred an expense of Rs.20000 in maintaining it. At the end of the first year he sold it for Rs.80000. Find his ... account of depreciation. a)12.5% profit b)12.5% loss c)11 1/9% profit d)11 1/9% loss

Last Answer : d)11 1/9% loss 

Description : Ganesha, Harish and Raghu started a business with investments of Rs.15000, Rs.18000 and Rs.21000. At the end of the one year, they earned a total profit of Rs.5400. Find the respective shares of Ganesh, Harish ... profit (in Rs.) a)1500,1800,2100 b)1360,1800,2240 c)1750,2100,2450 d)1890,2100,2310 

Last Answer : a)1500,1800,2100

Description : On 1st April, 2013, Y Ltd. Issued 1000, 12% debentures of Rs. 100 each at a discount of 6%. These debentures are redeemable in five equal annual instalments at the end of each year. What is the amount of discount to be written off ... & L A/c ? (A) Rs. 2000 (B) Rs. 1800 (C) Rs. 1200 (D) Rs. 600

Last Answer : Answer: Rs. 1200

Description : An amount becomes 160% of itself in 5 years through simple interest. At the same rate of interest, how long will it take for the amount to more than double itself if we use compound interest? a) 7 b) 8 c) 9 d) 10 e) cannot be determined

Last Answer : Answer: a)

Description : A man sells two flats at the rate of Rs. 2 lakhs each. On one he gains 3% and on the other, he loses 3%. His gain or loss % in the whole transaction is A. 9% loss B. 2% loss C. 3% loss D. 25% loss

Last Answer : Answer – A (0.09% loss) Explanation – Loss% = X^2/100=(3)^2/100 % =0.09%

Description : A sum was invested for 4 yr at a certain rate of simple interest. If it had been invested at 2% more annual rate of interest, then Rs. 64 more would have been obtained. What is the sum? (a) Rs.600 (b) Rs.700 (c) Rs.800 (d) Rs.900

Last Answer : (c) Rs.800

Description : A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the ... investments after one year? a) Rs.270 b) Rs.370 c) Rs.250 d) Rs.280 e) None of these

Last Answer : 5x + 3y = z (Total Income) x + y = 6600 -(1) 5x= 2(3y) 5x – 6y = 0 -(2) By solving (1) and (2) we get, x = 3600 so y = 3000 (3600*5*1)/100 + (3000*3*1)/100 = 180 + 90 = 270 Answer: a)

Description : Ashwin borrowed a sum of Rs.6, 300 from Mishra at the rate of 14% for 3 years. He then added some more money to the borrowed sum and lent it to Ramesh at the rate of 16% of simple interest for the same time. If ... sum did he lend to Ramesh? a) Rs.6600 b) Rs.6800 c) Rs.4800 d) Rs.9800 e) Rs.8500

Last Answer : Suppose Ashwin lend Rs. x to Ramesh then, Xx16x3/100 - (X – 6300) × 14 × 3/100 = 618......(1) From equation I , x = Rs. 6800 Answer: b)

Description : One year ago the ratio between Laxman and Gopal salary was 3:4. The individual ratios between their last year’s and this year’s salary are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4160. The salary of laxman now is? a) 1800 b) 1500 c) 2160 d) 2560 e) 1600

Last Answer : Answer: E Let the salaries of Laxman and Gopal one year before be x1 ,y1 respectively. ∴ x1/y1 = 3/4 ......(1) x2 + y2 = 4160 .....(2)  From equations (1) and (2) x2 = Rs. 1600.

Description : The mean monthly temperature and rainfall of a station are given below: Month Temperature ºC Rainfall mm January 24 2 February 25 1 March 27 0 April 29 3 May 30 16 June 29 520 July 28 709 August 27 419 ... to which of following cities? [CDS 2004] (a) Ahmedabad (b) Bangalore (c) Mumbai (d) Vadodara

Last Answer : Ans: (c)

Description : The profit made by David in selling his calculator for Rs.400 would be the same as the loss he would have made in selling it at a 25% loss. If he sold his calculator after offering a discount of Rs.100, find the percentage at which he marked it above the cost price. a)56.25% b)62.5% c)60% d)50%

Last Answer : a)56.25%

Description : An investment of Rs. 1000 is carrying an interest of 10% compounded quarterly. The value of the investment at the end of five years will be (A) 1000 (1 + 0.1/4)20 (B) 1000 (1 + 0.1)20 (C) 1000 (1 + 0.1/4)5 (D) 1000 (1 + 0.1/2)5

Last Answer : (A) 1000 (1 + 0.1/4)20

Description : What is the ratio between money spent by company Q on tax and money spent by P on salary? a) 23:121 b) 33:144 c) 47:144 d) 144:157 e) None of these

Last Answer : e) None of these

Description : A dealer sold a radio at a loss of 2.5%. Had he sold it for Rs. 120 more, he would have gained 7.5%. In order to gain 12.5% after a 25% discount, the marked price should be: a) 1750 b) 1800 c) 1857.75 d) 1925 e) None of these

Last Answer : 120 = 10% of the CP (2.5% loss to 7.5% profit) Or CP = Rs. 1200 To gain 12.5%, SP = 1200 × 1.125 = Rs. 1350 Rs. 1350 = 25% discounted of Marked Price Or marked Price = 1350/0.75 = Rs. 1800 Answer: b)

Description : A person sold an item for Rs. 14280 after giving 15% discount on the labelled price and earned 19% profit on the cost price. What would have been the percentage profit, had he not given the discount? a) 30% b) 34% c) 40% d) 42.5% e) None of these

Last Answer : Labelled price = [(14280×100)/85] = Rs. 16800 Or, 23X/120 = 69/5 Or, X= [(69×120)/(23×5)] = 72km. Answer is: c)

Description : A manufacture undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, ... A. Rs 12,000 B. Rs 13,000 C. Rs 14,000 D. Rs 15,000 E. None f these

Last Answer : Answer - B. Rs 13,000 Explanation: 5% of 2000=100 so 2000-100=1900 so,if he sells 1900 he will get 25% profit cost per piece rs 25 so 25x 1900 don't solve here if 125% . ... /125=38000=CP if 50% rejected,only 1000 pieces sold so 1000 25=25000=SP loss=cp-sp= 38000-25000=13000

Description : By selling a telephone for Rs. 2400, a shopkeeper make a profit of 25%. Then, his profit percentage, if he had sold it for Rs. 2016, is ? (a) 10% (b) 6.25% (c) 6.5% (d) 5% (e) 12%

Last Answer : (d) 5%

Description : The difference between the cost price and sale price of an article is Rs. 500 if the profit is 20%. The selling price is: A. Rs 4000 B. Rs 1500 C. Rs 3000 D. Rs 3300

Last Answer : Answer – C. Rs.3000 Explanation – 120%-100%=20% 20%…………………500 120%…………….? ?=3000

Description : 57% of 400 + 23% of 700 + 32% of 1100 – 28% of 1300 = ? a) 401 b) 389 c) 377 d) 364 e) 352

Last Answer : ? = 57×4 + 23×7 + 32×11 - 28×13 = 228 + 161 + 352 – 364 = 377 Answer: c)

Description : Arun and Bharat started a business with investments of Rs.10000 and Rs.15000 respectively. Arun being a working partner gets Rs.100 every month as salary from the profit. At the end of one year the business makes a ... the total share of Arun out o this amount (in Rs.) a)2880 b)2640 c)3240 d)2760

Last Answer : b)2640

Description : The synchronous speed for a 3 phase 6-pole induction motor is 1200 rpm. If the number of poles is now reduced to 4 with the frequency remaining constant, the rotor speed with a slip of 5% will be _________. (A) 1690 rpm (B) 1750 rpm (C) 1500 rpm (D) 1710 rpm

Last Answer : (D) 1710 rpm

Description : A shopkeeper sold a toothpaste at a profit of 12.5%. His cost price was Rs.5 less than his selling price. find his cost price (in Rs.) a)30 b)36 c)40 d)50

Last Answer : c)40

Description : A man purchased wheat worth Rs. 400. He sold 3/4 at a loss of 10% and the reminder at a gain of 10%. On the whole he gets: A. loss of 5% B. gain of 5 C. loss of 19% D. loss of 6%

Last Answer : Answer – A (loss of 5%) Explanation – C.P of 3/4th = Rs. (3/4 x 400) = Rs. 300, C.P of 1/4th = Rs. 100 ∴ Total S.P = (90% of Rs. 300 + 110% of Rs. 100) = Rs. 380 Loss = (20/400 x 100)% = 5%

Description : A dealer sold a Radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7.5%. To gain 12.5% he should sell it for : A. Rs 2200 B. Rs 1000 C. Rs 1100 D. Rs 1125

Last Answer : Answer – D. Rs.1125 Explanation – Let C.P be Rs.x then,(107.5 % of x) – (97.5 % of x) = 100 => 10% of x = 100 => x =1000 ∴ desired S.P = 112.5 % of Rs. 100 = Rs.(225/2 x 1/100 x 1000) =Rs. 1125