Q 1 – Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities
(i) C>S
(ii) C = S
(iii) C <S Then,
(a) only (i) is correct
(b) either (i) or (ii) is correct
(c) either (ii) or (iii) is correct
(d) only (iii) is correct
Q 2 – Suppose a certain sum doubles in 2 yr at r% rate of simple interest per annum and R°/o rate of interest per annum compounded annually. Then,
(a) r < R
(b) R<r
(c)R = r
(d) Cannot be determined
Q 3 – The compound interest on Rs. 50000 at 4% per annum for 2 yr compounded annually is
(a) Rs. 4000
(b) Rs. 4080
(c) Rs. 4280
(d) Rs. 4050
Q 4 – To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which cost him Rs. 360 as
(a) Rs. 500
(b) Rs. 450
(c) Rs. 460
(d) Rs. 486
Q 5 – Ashima took a loan of Rs. 100000 at 12% per annum compounded half-yearly. She paid Rs. 112360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan is
(a) 2 yr
(b) 1 yr
(c) 6 months
(d) 1 
yr
Q 6 – For calculation of interest compounded half-yearly, keeping the principal same, which one of the following is true?
(a) Double the given annual rate and half the given number of years
(b) Double the given annual rate as well as the given number of years
(c) Half the given annual rate as well as the given number of years
(d) Half the given annual rate and double the given number of years
Q 7 – Shyama purchases a scooter costing Rs. 36450 and the rate of sales tax is 9%, then the total amount paid by her is
(a) Rs. 36490.50
(b) Rs. 39730.50
(c) Rs. 36454.50
(d) Rs. 33169.50
x36450 + 36450 Q 8 – The marked price of an article is Rs. 80 and it is sold at Rs. 76, then the discount rate is
(a) 5%
(b) 95%
(c) 10%
(d) approx 11 %
x 100= 
= 5% Hence, option (a) is correct. Q 9 – A bought a tape recorder for Rs. 8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?
(a) A and B earn the same profit
(b) A earns more profit than B
(c) A earns less profit than<5
(d) Cannot be determined
x 8000 + 8000Q 10 – Latika bought a teapot for Rs. 120 and a set of cups for Rs. 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her is
(a) Rs. 494
(b) 7 546
(c) Rs. 506
(d) Rs. 534
+120
x 400 Q 11 – A jacket was sold for Rs. 1120 after allowing a discount of 20%. The marked price of the jacket is
(a) Rs. 1440
(b) Rs. 1400
(c) Rs. 960
(d) Rs. 866.66
Q 12 – A sum is taken for two years at 16% per annum. If interest is .compounded after every three months, the number of times for which interest is charged in 2 yrs is
(a) 8 (b) 4 (c) 6 (d) 9
Q 13 – The original price of a washing machine which was bought for Rs. 13500 including of 8% VAT, is
(a) Rs. 12420 (b) Rs. 14580 (c) Rs.12500 (d) Rs. 13492
Q 14 – Radhika bought a car for Rs. 250000. Next year, its price decreased by 10% and further next year, it decreased by 12%. In the two years, overall decrease per cent in the price of the car is
(a) 3.2% (b) 22% (c) 20.8% (d) 8%
Q 15 – In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.
Q 16 – Three bags contain 64.2 kg of sugar. The second bag contains of the contents of the first and the third contains 45 % of what there is in the second bag. How much sugar is there in each bag?
Q 17 – Find the SP, if
(a) MP = Rs. 5450 and discount = 5%
(b) MP = Rs.1300 and discount = 15%
Q 18 – Find the MP, if
(a) SP = Rs. 495 and discount = 1%
(b) SP = Rs. 9250 and discount = 7 %
Q 19 – Find discount in percent when
(a) MP = Rs.625 and SP = Rs.562.50
(b) MP = Rs.900 and SP = Rs.873
Q 20 – The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.
Q 21 – In 2007-08, the number of students appeared for Class X examination was 105332 and in 2008-09 the number was 116054. If 88151 students pass the examination in 2007-08 and 103804 students in 2008-09. What is the increase or decrease in pass percentage in class X result?
Q 22 – A watch worth Rs. 5400 is offered for sale at Rs. 4500. What per cent discount is offered during the sale?
Q 23 – In the year 2001, tbe number of malaria patients admitted in the hospitals of a state was 4375. Every year this number decreases by 8%. Find the number of-patients in 2003.
Q 24 – Jyotsana bought a product for Rs. 3155 including 4.5% sales tax. Find the price before tax was added.
Q 25 – An average Urban Indian uses about 150 L of water everyday.
(a) What per cent of water is used for bathing and sanitation together per day?
(b) How much less per cent of water is used for cooking in comparison to that used for bathing?
(c) What per cent of water- is used fdr drinking, cooking and gardening together?
Q 26 – In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for
(a) students of General Category.
(b) students of SC Category and ST Category taken together.
Q 27 – Prachi bought medicines from a medical store as prescribed by her doctor for Rs 36.40 including 4% VAT. Find the price of before VAT was added.
Q 28 – Kritika ordered one pizza and one garlic bread from a pizza store and paid Rs 387 inclusive of taxes of Rs 43. Find the tax%.
Q 29 – Find the final bill amount, if 3% education cess was also charged on service tax.
Q 30 – If principal = Rs 100000, rate of interest = 10% compounded half-yearly. Find.
(a) Interest for 6 months. (b) Amount after 6 months.
(c) Interest for next 6 months, (d) Amount after one year.
Q 31 – Babita bought 160 kg of mangoes at Rs 48 per kg. She sold 70% of the mangoes at Rs 70 per kg and the remaining mangoes at Rs 40 per kg. Find Babita’s gain or loss per cent on the whole dealing.
Q 32 – A shopkeeper was selling all his items at 25% discount. During the off season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for Rs 1200, how much did she pay for it?
Q 33 – Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs. 1960. What was the marked price of the mobile phone?
Q 34 – A new computer costs Rs 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depredation is as high as 50% every year. How much will the cost of computer be after two years?
Q 35 – The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
Q 36 – Lemons were bought at Rs 48 per dozen and sold at the rate of Rs 40 per 10. Find the gain or loss per cent.
Q 37 – What is the percentage increase or decrease in the number of seats won by A, B, C and D in the general elections of 2009 as compared to the results of 2004?
Q 38 – How much more per cent seats were won by X as compared to Y in assembly election in the state based on the data given below?
Q 39 – Ashima sold two coolers for ? 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.
Q 40 – Music CD originally priced at Rs 120 is on sale for 25% off. What is the SP? Sonia and Rahul have different ways of calculating the sale price for the items they bought.
As you work on the next problem, try both of these methods to see which your refer.
