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    				This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. | Represent the following percentages as fractions. (i) `125%" "(ii) 2.5%` | 
| Answer» (i)`125%=125xx(1)/(100)` `=5xx(1)/(4)=(5)/(4)` (ii)`2.5%=2.5xx(1)/(100)` `=(25)/(1000)=(1)/(40)` | |
| 2. | If the selling price is less than cost price, then there is a __________ in this transaction. | 
| Answer» Correct Answer - Loss Loss | |
| 3. | `{:(,"Column A",,,,,"Column B"),(,("in "Rs.),,,,, ("in "Rs.)),((a), P = 256"," I = 23,, (),, (p), A = 289),((b), P = 265"," I = 34,, (),, (q), A = 279),((c), P = 258"," I = 31,, (),, (r), A = 269),((d), P = 257"," I = 12,, (),, (s), A = 299):}` | 
| Answer» Correct Answer - `(a)to(q), (b)to(s), ( c )to(p), (d)to( r )` `A=P+I` (a)`256+23=279` (b)`265+34=299` (c)`258+31=289` (c)`258+31=289` Therefore, the correct match is: `(a)to(q), (b)to(s),( c )to(p), (d)to( r )` | |
| 4. | Find the value `62%` of `19+38%` of 19. | 
| Answer» Correct Answer - 19 `62%" of "19+38%" of "19` `=100%" of "19=(100)/(100)xx19=19` | |
| 5. | If the cost price is equal to the selling price, then there is __________. | 
| Answer» Correct Answer - No profit and no loss No profit and no loss. | |
| 6. | Find the values of `72%` of 250 and `37.5%` of 800. | 
| Answer» Correct Answer - (i) 180 (ii) 300 (i)` 72%" of "250` `=72xx(1)/(100)xx250` `=72xx(1)/(2)xx5=36xx5` `=180` (ii)` 72%" of "250` `=72xx(1)/(100)xx250` `=72xx(1)/(2)xx5=36xx5` `=180` | |
| 7. | If `SPgtCP`, then the difference between the selling price and the cost price is ____________. | 
| Answer» Correct Answer - Profit `SP-CP="Profit"` | |
| 8. | CP = Rs. 800, MP = Rs. 1000 and SP = Rs. 900. Find the percentage of (i) discount and (ii) profit. | 
| Answer» Correct Answer - `(i)10%" "(ii)12.5%` CP = Rs. 850, MP = Rs. 1000, SP = Rs. 900 Discount `= MP-SP= Rs.(1000-900)` = Rs. 100 (i) Discount`%=("Discount")/("Marked price")xx100%` `=(100)/(1000)xx100%=10%` (ii) Profit`=SP-CP=Rs.(900-800)=Rs.100` `"Profit"%=("Profit")/(CP)xx100%` `=(100)/(800)xx100%=12.5%` | |
| 9. | The simple interest on Rs.1000 at `10%` p.a. for 10 yeaRs. is ___________. | 
| Answer» Correct Answer - Rs.1000 `I=(PTR)/(100)=(1000xx10xx10)/(100)=Rs.1000` | |
| 10. | `10%" of "20%" of "100" is equal to "___________.`A. `30%" of "100`B. `2%" of "100`C. `15%" of "100`D. `200%" of "100` | 
| Answer» Correct Answer - B `10%" of "20%" of "100=(10)/(100)xx(20)/(100)xx100` `=(200)/(100)=2` `2xx(1)/(100)x100` `=25" of "100` Hence, the correct option is (b). | |
| 11. | Discount=__________.A. Cost price + Selling priceB. Selling price - Marked priceC. Marked price - Cost priceD. Marked price - Selling price | 
| Answer» Correct Answer - D | |
| 12. | A sum of Rs.4700 is doubled in 6 yeaRs. under simple interest at a certain rate of interest. The interest is Rs.____________.A. 2350B. 4700C. 9400D. Cannote be determined | 
| Answer» Correct Answer - B `A=P+1" and "A=2P` I=P `:.I=Rs.4700` Hence, the correct option is (b). | |
| 13. | Interest on Rs.500 at `12%` p.a. for 1 year is _______.A. 50B. 60C. 70D. 80 | 
| Answer» Correct Answer - B `I=(PTR)/(100)=(500xx1xx12)/(100)=60` Hence, the correct option is (b). | |
| 14. | `15%" of "50" is equal to"_____________.`A. `50%" of "30`B. `1005" of "30`C. `7.5%" of "25`D. `100%" of "7.5` | 
| Answer» Correct Answer - D `15%" of "50=15xx(1)/(100)xx50=15xx(1)/(2)=7.5` `=7.5xx100%` `=100%" of "7.5` Hence, the correct option is (d). | |
| 15. | Rate `=15%` p.a., P = Rs. 70000, A = Rs. 1,01,500. Find the time period. | 
| Answer» Correct Answer - 3 years Rate`=15%`p.a.,P=Rs. 70000 A=1,01,500 `I=A-P=Ra.(1,01,500-70000)=Rs. 31500` `I=(PTR)/(100)` `T=(100I)/(PR)` `T=(100xx31500)/(70000xx15)=3` years | |
| 16. | Mr Surya and Mr Karthi got `15%` and `25%` profits respectively in their business. If their investments are Rs. 20 crores and Rs. 12 crores then who got more profit in rupees? | 
| Answer» Correct Answer - Both of them got equal profit. Mr Surya: Investment = Rs. 20 crores Profit `= 15%" of "20 "crores"` `=(15)/(100)xx20` `= Rs. 3"crores"` Mr Karthi: Investment = Rs. 12 crores Profit per cent `=25%` Profit`=25%" of "12" crores"` `=(25)/(100)xx12=Rs. 3" crores"` `:.` Both of them got equal profits. | |
| 17. | If a sum doubles in four years at the rate of `R%` per annum simple interest, then `3R=____________.`A. 30B. 45C. 75D. 90 | 
| Answer» Correct Answer - C Let the sum be P=Rs. 100. As given, P=Rs. 100, A=Rs. 200, T = 4 years. Then, `SI=A-P=Rs. 200-Rs.100=Rs.100` We have `SI=(PTR)/(100)` `implies100=(100xx4xxR)/(100)impliesR=(100)/(4)=25implies3R=75` Hence, the correct option is ( c ). | |
| 18. | How much interest will be paid at rate of `6%` per annum on a borrowing of Rs. 800 for 2 years? | 
| Answer» Correct Answer - Rs. 96 Interest of be paid `=800xx(6)/(100)xx2` =96 | |
| 19. | `{:("Across",|,"Down"),(3."A freaction with denominator hunderd",|,1." The total loan amount is paid in equal values in equal time periods"),(5." The selling price is more than its cost price",|,2." "100%" of "100),(6." Interest is subtracted from amount",|,4." "18%" of "50" and "50%" of "18),(10." Money spent in a business",|,7." The additional money given to the lender by the borrower"),(11." Money is borrowed from the bank",|,8." Profit"),(12." The total money returned",|,9." The cost price is more than its selling price"):}` | 
| Answer» Correct Answer - `{:("Across",|,"Down"),(3." Percentage",|,1." Installment"),(5." Profit",|,2." Hunderd"),(6." Principal",|,4." Equal"),(10." Investment",|,7." Interest"),(11." Loan",|,8." Gain"),(12." Amount",|,9." Loss"):}` | |
| 20. | The population of a city increases every year `8%` over its previous year. If the population of the city at the beginning of the year 2015 was 15,00,000. What would be the population of the city at the beginning of the year 2016? | 
| Answer» Correct Answer - Rs. 16,20,000 The population at the beginning of 2015 iis 15,00,000. The population at the beginning of 2016 `=(8)/(100)xx15,00,000+15,00,000` `=1,20,000+15,00,000` =16,20,000 | |
| 21. | Mr Abhishek paid Rs.360 as an interest for 8 months at `18%` p.a. Find the principal value of the loan taken by him. | 
| Answer» Let the principal be P. `R=18%p.a.` `T=8" months"=(8)/(12)"yeaRs. "=(2)/(3)"yeaRs."` `SI=(PTR)/(100)` `360=Pxx(2)/(3)xx(18)/(100)` `P=(360xx3xx100)/(2xx18)=10xx300=Rs.3000` | |
| 22. | Mr Bhardwaj took a loan of Rs. 36000 from a money lender at `24%` p.a., he clered the loan in 9 months. Find the interest paid by Mr Bhardwaj to the money lender. | 
| Answer» Correct Answer - Rs. 6480 P= 36000 `R=24%`pa `T=9" months"=(9)/(12)" years"` `I=(PTR)/(100)=(36000)/(100)xx(9)/(12)xx24=360xx(3)/(4)xx24` `=360xx3xx6=6480` `:.` Interset paid by Mr Bhardwaj to the money lender `=Rs. 6480` | |
| 23. | A sum of Rs. 12660 lent on simple interest at the rate of `15%` p.a. for 5 years. Find the amount at the end of 5 years. | 
| Answer» Correct Answer - Rs. 22155 P=Rs. 12660 Rate `=15%`p.a. T=5 years `I=(PTR)/(100)=(12660xx5xx15)/(100)=9495` `A=P+I` `=12660+9495=Rs. 22155` | |
| 24. | How much simple interest is to be paid on a loan of Rs.20000 at `18%` per annum for a period of 3 yeaRs.? | 
| Answer» `P=Rs.20000,R=18%,T=3" yeaRs."` `SI=(PTR)/(100)` `SI=(20000xx3xx18)/(100)=600xx18=Rs.10800` `:." Interest to be paid at the end of 3 yeaRs."=Rs.10800` | |
| 25. | The money taken as loan is called _______. | 
| Answer» Correct Answer - Principal Principal | |
| 26. | Mr Crazyarala took a loan of Rs. 10,000 at the rate of `12%` p.a. simple interest and lent this money to is neighbour at `18%` simple interest for 2 years. If he cleared the loan in two years, then find his profit in this transaction. | 
| Answer» Correct Answer - Rs. 1200 P=Rs. 10000 Rate`=12%`pa T=2 years `I_(1)=(PTR)/(100)` `=(10000xx2xx12)/(100)=Rs. 2400 ` Amount lent `P=Rs.10000,"Rate"=18%`p.a. T=2years `I_(2)=(PTR)/(100)=(10000xx2xx18)/(100)=Rs. 3600` Profit`=I_(2)-I_(1)=Rs.(3600-2400)=Rs. 1200` | |
| 27. | In a toy shop there are 500 balls of which 125 are blue, 150 are red the remaining are yel-low. What percentage of the balls in the shop are yellow?A. `25%`B. `30%`C. `45%`D. `40%` | 
| Answer» Correct Answer - C The number of yellow balls in the shop `=500-15-150-500-275=225` The percentage of yellow balls in the shop `=(225)/(500)xx100=45%` Hence, the correct option is ( c ). | |
| 28. | Find the profit or loss percentage in the following cases. (i) Cost price=Rs. 500, marked price=Rs. 700 and ciscount=Rs. 250. (ii) Selling price=Rs. 1200 and profit=Rs. 200. | 
| Answer» Correct Answer - (i)`10%" loss "" "(ii) 20%" profit"` (i) Cost price (CP)=Rs. 500 Marked price (MP)=Rs. 700 Discount =Rs. 250 `SP=MP-"discount"` `=Rs.(700-250)=450` Here,`SPltCP`, there is a loss. `Loss=CP-SP=Rs.(500-450)=Rs. 50` `Loss%=("Loss")/(CP)xx100%` `=(50)/(500)xx100%=10%` (ii) SP=Rs. 1200 Profit=Rs. 200 `CP=SP-"Profit"=Rs.(1200-200)=Rs. 1000` `"Profit"%=("Profit")/(CP)xx100%` `=(200)/(1000)xx100%=20%` | |
| 29. | A shopleeper an article for Rs. 280. If its cost price is Rs. 300, then find his loss percentage. | 
| Answer» CP of the article=Rs. 300 SP of the article=Rs. 280 `SPltCP" and loss"=CP-SP=Rs.(300-280)=Rs. 20` Loss percentage`=("Loss")/(CP)xx100%` `=(20)/(300)xx100%=6(2)/(3)%` | |
| 30. | Mr Akhil sold his bike for Rs. 42000. Its cost price was Rs. 60000. Find his loss and the loss percentage. | 
| Answer» Correct Answer - `Rs.18000;30%` SP= Rs. 42000 CP= Rs. 60000 `"Loss"=CP-SP` `=Rs. (60000-42000)` `=Rs. 18000` `"Loss"%=("Loss")/(CP)xx100%` `=(18000)/(60000)xx100%=(180)/(6)%=30%` | |
| 31. | 75% of 1=_________. | 
| Answer» Correct Answer - `3//4` `75%" of "1=(75)/(100)xx1=(3)/(4)` | |
| 32. | `(1)/(5) of x is_______% of x. | 
| Answer» Correct Answer - 20 `(1)/(5)" of "x=(x)/(5)xx1005=20%" of "x` | |
| 33. | Chanti distributed `(3)/(4)th` of his birthday cake to his friends. Find the percentage of the cake distributed to his friends. | 
| Answer» Fraction of the cake distributed `=(3)/(4)` `(3)/(4)=(3xx25)/(4xx25)=(75)/(100)` `=75xx(1)/(100)=75%` | |
| 34. | 0.25 of x is equal to_________% of x. | 
| Answer» Correct Answer - 25 `0.25" of "x=0.25xx100%" of "x=25%" of "x` | |
| 35. | Banti has 50 chocolates with him, he are `60%` of those in a weak. Find the number of chocolates left with him. | 
| Answer» Total number of chocolates =50 Number of chocolates eaten`=60%" of "50` Number of chocolates left `=40%" of "50` `=40xx(1)/(100)xx50=40xx(1)/(2)` `=20` | |
| 36. | 60% is equal to_________. | 
| Answer» Correct Answer - `3//5` `60%=(60)/(100)=(6)/(10)=(3)/(5)` | |
| 37. | Which of the following is equal to `40%` of x?A. `4x`B. `0.04x`C. `(2)/(5)x`D. None of these | 
| Answer» Correct Answer - C `40%" of "x=(40)/(100)xxx=(2)/(5)x` Hence, the correct option is (c). | |
| 38. | Find `40%` of 60. | 
| Answer» `40%" of "60=(40//100)60=24` | |
| 39. | Express `35%` as a decimal. | 
| Answer» `35%=35//100=0.35` | |
| 40. | Express `20%` as a fraction. | 
| Answer» `20%=20//100=1//5` `:.20%" as a fraction is "1//5.` | |
| 41. | Express `1//2` as per cent. | 
| Answer» `1//2=(1//2)xx100%=50%` | |
| 42. | Simplify: (i)`30%" of ""340"" "(ii)8(1)/(3)%" of "270` | 
| Answer» Correct Answer - (i) 120 (ii) 22.5 (i) `30%" of "340` `(30)/(100)xx340=3xx34=102` (iii)`8(1)/(3)%" of "270` `=(25)/(3)xx(1)/(100)xx270` =22.5 | |
| 43. | Equivalent fraction to `110%` is___________.A. `(12)/(5)`B. `(6)/(5)`C. `(11)/(10)`D. `(8)/(15)` | 
| Answer» Correct Answer - C `110%=(110)/(100)=(11)/(10)` Hence, the correct option is (c). | |
| 44. | (i) Express `70%` as a decimal. (ii) Express `240%` as a fraction. (iii) Express `8(1)/(5)` as a percentage. | 
| Answer» Correct Answer - (i)`0.7" "(ii) 12//5" "(iii) 820%` (i) `70%=70xx(1)/(100)=(7)/(10)=0.7` (ii) `240%=240xx(1)/(100)=(24)/(10)=(12)/(5)` (iii) `8(1)/(5)=(8(1)/(5))xx100xx(1)/(100)` `=(8(1)/(5))xx100%=((41)/(5))xx100%=820%` | |
| 45. | In a class of 50 students, `26%` are non-vegetarians. Calculate the number of non-vegetarian students. | 
| Answer» Correct Answer - 13 Number of non-vegetarians is class `=26%" of "50` =13 | |