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InterviewSolution
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. |
A Table Is Bought For Rs. 1783 And Sold At Profit Of 65 %. Find Its Selling Price? |
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Answer» Given, COST price = Rs. 1783 PROFIT % = 65 % Selling price = [(100 + profit%) / 100] * Cost Price => Selling price = [(100 + 65) / 100] * 1783 = (165 / 100) * 1783 =2941.95 Thus, Selling price of Table = Rs. 2941.95. Given, Cost price = Rs. 1783 Profit % = 65 % Selling price = [(100 + profit%) / 100] * Cost Price => Selling price = [(100 + 65) / 100] * 1783 = (165 / 100) * 1783 =2941.95 Thus, Selling price of Table = Rs. 2941.95. |
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| 2. |
A Wooden Toy Is Bought For Rs. 1200 And Sold At Profit Of 20 %. Find Its Selling Price? |
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Answer»
Profit or Gain = 20% Selling price =[ ( 100 + Gain % ) / 100] * C.P = (100 + 20 ) / 100 * 1200 = 120 / 100 * 1200 = 120 * 12 = 1440 Selling Price = Rs 1440. Given Cost price of Toy = Rs 1200 Profit or Gain = 20% Selling price =[ ( 100 + Gain % ) / 100] * C.P = (100 + 20 ) / 100 * 1200 = 120 / 100 * 1200 = 120 * 12 = 1440 Selling Price = Rs 1440. |
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| 3. |
A Notebook Is Bought For Rs. 1100 And Sold At Profit Of 5 %. Find Its Selling Price? |
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Answer»
COST PRICE = RS. 1100 Profit % = 5 % Selling price = ( 100 + Gain % ) / 100 X CP = (100 + 5) / (100) x 1100 = 105 / 100 x 1100 = 105 x 11 = 1155 Selling price = Rs 1155. Given Cost price = Rs. 1100 Profit % = 5 % Selling price = ( 100 + Gain % ) / 100 X CP = (100 + 5) / (100) x 1100 = 105 / 100 x 1100 = 105 x 11 = 1155 Selling price = Rs 1155. |
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| 4. |
The Wooden Toy Is Bought For Rs. 1600 And Sold At Rs. 1920. Find The Profit Percent? |
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Answer»
Selling Price = Rs. 1920 PROFIT = Rs. 320 Profit Percentage = (Profit / C.P) x 100 Profit Percentage = (320/1600) x 100 = 320 / 16 = 20% Profit Percentage = 20 %. Cost Price = Rs. 1600 Selling Price = Rs. 1920 Profit = Rs. 320 Profit Percentage = (Profit / C.P) x 100 Profit Percentage = (320/1600) x 100 = 320 / 16 = 20% Profit Percentage = 20 %. |
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| 5. |
The Chair Is Bought For Rs. 1900 And Sold At Rs. 2565. Find The Profit Percent? |
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Answer» SOLUTION is Cost Price = Rs. 1900 Selling Price = Rs. 2565 PROFIT = selling price - cost price Profit = Rs. 665 Profit PERCENTAGE = (Profit / C.P) x 100% Profit Percentage = ( 665 / 1900 ) x 100 Profit Percentage = 35 %. Solution is Cost Price = Rs. 1900 Selling Price = Rs. 2565 profit = selling price - cost price Profit = Rs. 665 Profit Percentage = (Profit / C.P) x 100% Profit Percentage = ( 665 / 1900 ) x 100 Profit Percentage = 35 %. |
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| 6. |
A Table Is Bought For Rs. 1500 And Sold At A Loss Of 30 %. Find Its Selling Price? |
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Answer» Solution is Cost price = Rs.1500 Loss % = 30 % Selling price = [ ( 100 - Loss % ) / 100 ] * C.P = [ ( 100 - 30 ) / 100 ] * 1500 = [ 70 / 100 ] * 1500 = 70 * 15 = 1050. Solution is Given Cost price = Rs.1500 Loss % = 30 % Selling price = [ ( 100 - Loss % ) / 100 ] * C.P = [ ( 100 - 30 ) / 100 ] * 1500 = [ 70 / 100 ] * 1500 = 70 * 15 = 1050. |
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| 7. |
A Watch Is Bought For Rs. 1600 And Sold At A Loss Of 20 %. Find Its Selling Price? |
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Answer»
Cost price = RS. 1600 LOSS % = 20 % SELLING price = [ (100 - Loss %) / 100 ] * C.P = [ (100 - 20) / 100 ] * 1600 = [ 80 / 100 ] * 1600 = 80 * 16 = 1280. Given Cost price = Rs. 1600 Loss % = 20 % Selling price = [ (100 - Loss %) / 100 ] * C.P = [ (100 - 20) / 100 ] * 1600 = [ 80 / 100 ] * 1600 = 80 * 16 = 1280. |
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| 8. |
The Marked Price Of A Radio Is 20% More Than Its Cost Price. If A Discount Of 10% Is Given On The Marked Price, Find The Gain Percent? |
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Answer» Solution is Marked price = 20 % more than the cost price = 20 % of C.P + C.P = ( ( 20 / 100 ) * 100 ) + 100 Marked price = 120 Rs Discount = 10 % of marked price = ( 10 / 100 ) * 120 = 12 Rs Selling price = Marked price - Discount = 120 - 12 = 108 Rs Gain = ( Selling Price - Cost price) = 108 - 100 = 8 %Gain = ( Gain * 100 / CP) = (8 *100)/100 = 8%. Gain PERCENT = 8 %. Solution is Given Let the Cost price = 100 Rs Marked price = 20 % more than the cost price = 20 % of C.P + C.P = ( ( 20 / 100 ) * 100 ) + 100 Marked price = 120 Rs Discount = 10 % of marked price = ( 10 / 100 ) * 120 = 12 Rs Selling price = Marked price - Discount = 120 - 12 = 108 Rs Gain = ( Selling Price - Cost price) = 108 - 100 = 8 %Gain = ( Gain * 100 / CP) = (8 *100)/100 = 8%. Gain percent = 8 %. |
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| 9. |
The Marked Price Of A Radio Is 30% More Than Its Cost Price. If A Discount Of 10% Is Given On The Marked Price, Find The Gain Percent? |
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Answer» Solution is Marked price = 30 % more than Cost Price = 30 % of C.P + C.P = ( ( 30 / 100 ) x 100 ) + 100 = 30 + 100 = 130 Rs Given Discount = 10 % of marked price = ( 10 / 100 ) x 130 = 13 Rs Selling Price = Marked Price - Discount = 130 - 13 =117. Solution is Given Let Cost Price = 100 Rs Marked price = 30 % more than Cost Price = 30 % of C.P + C.P = ( ( 30 / 100 ) x 100 ) + 100 = 30 + 100 = 130 Rs Given Discount = 10 % of marked price = ( 10 / 100 ) x 130 = 13 Rs Selling Price = Marked Price - Discount = 130 - 13 =117. |
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| 10. |
A Man Purchased An Article At 3/4 Th Of The List Price And Sold At Half More Than The List Price. What Was His Gain Per Cent? |
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Answer» Let the List price of the article = RS. 100 Given, Cost price(C.P) =3/4 th of the list price = (3/4) * 100 = 75 Rs. Given, SELLING price =half more than the list price = 1/2 of list price + list price = (1/2) * 100 + 100 = 50 + 100 = 150 Rs. GAIN % = {(S.P - C.P) / C.P} * 100% = {(150 - 75) / 75} * 100% = (75/ 75) * 100% = 100% Thus,Gain % = 100%. Let the List price of the article = Rs. 100 Given, Cost price(C.P) =3/4 th of the list price = (3/4) * 100 = 75 Rs. Given, Selling price =half more than the list price = 1/2 of list price + list price = (1/2) * 100 + 100 = 50 + 100 = 150 Rs. Gain % = {(S.P - C.P) / C.P} * 100% = {(150 - 75) / 75} * 100% = (75/ 75) * 100% = 100% Thus,Gain % = 100%. |
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| 11. |
The Labelled Price Of A Product Is Rs. 750. If It Is Sold At 20% Discount And The Dealer Earns 25% Profit, Find Its Cost Price? |
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Answer» Given , Labelled PRICE = Rs. 750 Discount = 20 % of labelled price = ( 20 / 100 ) x 750 = 2 x 75 Discount = 150 Selling Price = Labelled Price - Discount = 750 - 150 = Rs. 600 Given , profit = 25 % Cost Price = [100/ (100 + Gain%)] * Selling Price = [ 100 / ( 100 + 25 ) ] * 600 = ( 100 / 125 ) * 600 = 480 Rs. Given , Labelled price = Rs. 750 Discount = 20 % of labelled price = ( 20 / 100 ) x 750 = 2 x 75 Discount = 150 Selling Price = Labelled Price - Discount = 750 - 150 = Rs. 600 Given , profit = 25 % Cost Price = [100/ (100 + Gain%)] * Selling Price = [ 100 / ( 100 + 25 ) ] * 600 = ( 100 / 125 ) * 600 = 480 Rs. |
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| 12. |
An Article Was Bought For Rs. 3000 And It Should Be Sold At A Profit Of Rs. 300, What Should Be The Selling Price Of That Article? |
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Answer» COST price = 3000, Profit = Rs. 300 We know that Profit = S.P – C.P => S.P = Profit + C.P = 300 + 3000 = 3300. Cost price = 3000, Profit = Rs. 300 We know that Profit = S.P – C.P => S.P = Profit + C.P = 300 + 3000 = 3300. |
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| 13. |
A Person Bought A Cycle For Rs. 1200 And Paid Some Extra 300 Rs For Its Repair Works. He Sold The Cycle For Rs. 1600. Find The Amount Of Profit Or Loss? |
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Answer»
Cost price C.P = 1200 Rs, Effective cost price = 1200 + 300 = 1500 Selling price = Rs. 1600 Since S.P > EffectiveC.P, there is some amount of PROFIT Profit = S.P – C.P = 1600 - 1500 = 100 Rs. Given Cost price C.P = 1200 Rs, Overhead charges = Rs. 300 Effective cost price = 1200 + 300 = 1500 Selling price = Rs. 1600 Since S.P > EffectiveC.P, there is some amount of profit Profit = S.P – C.P = 1600 - 1500 = 100 Rs. |
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| 14. |
A Shopkeeper Buys Bananas At 10 For Rs 8 And Sells At 8 For Rs. 10. Find His Gain Or Loss Percent? |
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Answer»
C.P of 10 bananas = 8 Rs => C.P of 40 bananas = 32 Rs. S.P of 8 bananas = 10 Rs. => S.P of 40 bananas = 50 Rs. A person buys 40 bananas for 32 Rs. and sells it for 50 Rs, it is CLEAR that he made profit of 18 Rs. Profit percentage = (profit/C.P) x 100 = 18/32 x 100 = 56.25%. L.C.M of 8 and 10 = 40 C.P of 10 bananas = 8 Rs => C.P of 40 bananas = 32 Rs. S.P of 8 bananas = 10 Rs. => S.P of 40 bananas = 50 Rs. A person buys 40 bananas for 32 Rs. and sells it for 50 Rs, it is clear that he made profit of 18 Rs. Profit percentage = (profit/C.P) x 100 = 18/32 x 100 = 56.25%. |
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| 15. |
Vijay Sells An Article At A Profit Of 20%. If That Article Was Bought For Rs.1500, Then Find The Selling Price? |
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Answer» C.P = Rs. 1500 and PROFIT = 20% => profit = (20/100) x 1500 = 300 S.P = C.P + profit = 1500 + 300 = 1800. C.P = Rs. 1500 and Profit = 20% => profit = (20/100) x 1500 = 300 S.P = C.P + profit = 1500 + 300 = 1800. |
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| 16. |
The Selling Price Of 10 Articles Is The Same As The Cost Price Of 12 Articles, Find Gain Percent? |
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Answer» LET the COST PRICE of each article be Rs k We have, S.P of 10 articles = C.P of 12 articles = 12k We know that C.P of 10 articles = 10 k Gain on the purchase of articles = 12 k – 10k = 2k Profit percentage = (profit/C.P) x 100 = (2k/10k) x 100 = 20%. Let the cost price of each article be Rs k We have, S.P of 10 articles = C.P of 12 articles = 12k We know that C.P of 10 articles = 10 k Gain on the purchase of articles = 12 k – 10k = 2k Profit percentage = (profit/C.P) x 100 = (2k/10k) x 100 = 20%. |
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| 17. |
A Shopkeeper Buys Bananas At 12 For Rs 9 And Sells At 9 For Rs.12. Find His Gain Or Loss Percent? |
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Answer» L.C.M of 9 and 12 = 36 Given, C.P of 12 bananas = 9 Rs. => C.P of 36 bananas = 27 Rs. Given, S.P of 9 bananas = 12 Rs => S.P of 36 bananas = 48 Rs. Since S.P > C.P, there must be some profit, Profit = S.P - C.P = 48 - 27 = 21 Profit percentage = (profit / C.P) x 100 = (21 / 27) x 100 = 700 / 9 = 77.78%. L.C.M of 9 and 12 = 36 Given, C.P of 12 bananas = 9 Rs. => C.P of 36 bananas = 27 Rs. Given, S.P of 9 bananas = 12 Rs => S.P of 36 bananas = 48 Rs. Since S.P > C.P, there must be some profit, Profit = S.P - C.P = 48 - 27 = 21 Profit percentage = (profit / C.P) x 100 = (21 / 27) x 100 = 700 / 9 = 77.78%. |
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| 18. |
Mr. X Bought An Article For Rs. 1215 And Spent Rs. 35 On Its Transportation. At What Price Should He Sell The Article To Have A Gain Of 16%? |
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Answer» EFFECTIVE cost PRICE = Rs. 1215 + Rs. 35 = 1250 He needs 16% profit on the cost price. Profit = (16/100) x 1250 = 200 S.P = C.P + GAIN = 1250 + 200 = 1450. Effective cost price = Rs. 1215 + Rs. 35 = 1250 He needs 16% profit on the cost price. Profit = (16/100) x 1250 = 200 S.P = C.P + Gain = 1250 + 200 = 1450. |
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| 19. |
Mr. Y Bought Apples At Rs. 5 A Dozen. He Had To Sell Them At A Loss Of 4%. Find The Selling Price Of One Apple (in Paisa)? |
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Answer» We have C.P of one dozen apple = Rs. 5, Loss percent = 4 % Loss = (4/100) X 5 = 1/5 Rs S.P = C.P – Loss = (5 – 1 / 5) = 24 /5 Rs. Thus S.P of one dozen apple = Rs. 24/5 S.P of one apple = (24 / 5) x (1/12) = 2/5 Rs = (2/5) * 100 paisa = 40 paisa. We have C.P of one dozen apple = Rs. 5, Loss percent = 4 % Loss = (4/100) x 5 = 1/5 Rs S.P = C.P – Loss = (5 – 1 / 5) = 24 /5 Rs. Thus S.P of one dozen apple = Rs. 24/5 S.P of one apple = (24 / 5) x (1/12) = 2/5 Rs = (2/5) * 100 paisa = 40 paisa. |
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| 20. |
A Man Sells His Scooter For Rs. 16500 Making A Profit Of 10%. How Much Did The Scooter Cost Him? |
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Answer»
PROFIT percentage = 10%, profit = (10/100) x k = k/10 S.P = C.P + Profit = k + (k/10) = 11k/10 11k/10 = 16500 => k = 16500 x (10/11) = 15000. Let the cost price be k Rs. Profit percentage = 10%, profit = (10/100) x k = k/10 S.P = C.P + Profit = k + (k/10) = 11k/10 11k/10 = 16500 => k = 16500 x (10/11) = 15000. |
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| 21. |
A Shopkeeper Makes A Profit Of 15% By Selling A Book For Rs.230. What Is The Actual Profit Of The Book In Rupees? |
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Answer» Let the C.P = k RS. PROFIT = 15 % on C.P => profit = 15k/100 S.P = C.P + profit = k + 15k/100 = 115k/100 => 115k/100 = 230 => k =230 x (100/115) = 200Rs. Profit = 15 % on 200 Rs = 30 Rs. Let the C.P = k Rs. Profit = 15 % on C.P => profit = 15k/100 S.P = C.P + profit = k + 15k/100 = 115k/100 => 115k/100 = 230 => k =230 x (100/115) = 200Rs. Profit = 15 % on 200 Rs = 30 Rs. |
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| 22. |
If I Purchased 11 Books For Rs. 10 And Sold All The Books At The Rate Of 10 Books For 11, Find My Profit Percentage? |
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Answer» If C.P = 10 RS. then S.P = (11/10 x 11) = 12.1 Rs Gain = 12.1 - 10 Rs = 2.1 Rs Gain % = profit/C.P x 100 = 2.1 / 10 x 100 = 21 %. If C.P = 10 Rs. then S.P = (11/10 x 11) = 12.1 Rs Gain = 12.1 - 10 Rs = 2.1 Rs Gain % = profit/C.P x 100 = 2.1 / 10 x 100 = 21 %. |
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| 23. |
A Dishonest Dealer Professes To Sell His Goods At Cost Price, But He Uses A Weight Of 960 Gm For The Kg Weight. Find His Gain Percent? |
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Answer» Cost of the GOODS be 1 Re PER kg. He sells for Re 1 what cost to him is RS. 0.96 Gain = 1 – 0.96 = 0.04 Gain percentage = (0.04/0.96) x 100 = 25/6 %. Cost of the goods be 1 Re per kg. He sells for Re 1 what cost to him is Rs. 0.96 Gain = 1 – 0.96 = 0.04 Gain percentage = (0.04/0.96) x 100 = 25/6 %. |
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| 24. |
A Grocer Sells Rice At A Profit Of 10% And Uses A Weight Which Is 20% Less. Find His Total Percentage Gain? |
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Answer» The grocer buys rice at m Rs/Kg Then he sells at Rs (110/100)m PER 80/100 Kg Or, at Rs. 110 m /100 x (100/80) per kg = 11 m / 8 per kg PROFIT = 11m/8 – m = 3m/8 Profit percentage = (3m/8) / m x (100) = 300/8 = 37.5%. The grocer buys rice at m Rs/Kg Then he sells at Rs (110/100)m per 80/100 Kg Or, at Rs. 110 m /100 x (100/80) per kg = 11 m / 8 per kg Profit = 11m/8 – m = 3m/8 Profit percentage = (3m/8) / m x (100) = 300/8 = 37.5%. |
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| 25. |
A Man Sold A Horse At A Loss Of 7%. Had He Been Able To Sell It At A Gain Of 9%, It Would Have Fetched Rs. 64 More Than It Did. What Was His Cost Price? |
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Answer» In the given problem, LET C.P denote the COST PRICE, then (100+9)% of CP – (100-7) % of C.P = RS. 64 =>(109)% of CP – (93) % of C.P = Rs. 64 =>16 % of CP = 64 => CP = 64 X 100 / 16 = 400. In the given problem, let C.P denote the cost price, then (100+9)% of CP – (100-7) % of C.P = Rs. 64 =>(109)% of CP – (93) % of C.P = Rs. 64 =>16 % of CP = 64 => CP = 64 x 100 / 16 = 400. |
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| 26. |
Rajni Purchased A Mobile Phone And A Refrigerator For Rs. 12000 And Rs. 10000 Respectively. She Sold The First At A Loss Of 12% And The Second At A Profit Of 8%.what Is Her Overall Profit/loss? |
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Answer» TOTAL price = 12000 + 10000 = 22000 Total Cost price = Rs 22000 SP of mobile phone => 88 % of CP = (88/100) x 12000 = 0.88 x 12000 = 10560 SP of refrigerator = 108% of CP = (108/100) x 10000 = 1.08 x 10000 = 10800 Total SP = 10560 + 10800 = 21360 Loss = (C.P.) - (S.P.) Loss = 22000 – 21360 = 640. Total price = 12000 + 10000 = 22000 Total Cost price = Rs 22000 SP of mobile phone => 88 % of CP = (88/100) x 12000 = 0.88 x 12000 = 10560 SP of refrigerator = 108% of CP = (108/100) x 10000 = 1.08 x 10000 = 10800 Total SP = 10560 + 10800 = 21360 Loss = (C.P.) - (S.P.) Loss = 22000 – 21360 = 640. |
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| 27. |
Peter Bought A Laptop For Rs. 24,700, Which He Later Sold To John For Rs. 26000. Find The Profit Percentage? |
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Answer» S.P = 26000 and C.P = 24700. PROFIT = S.P – C.P = 26000 – 24700 = 1300 Profit percentage = (Profit /C.P) X 100 = (1300/26000) x 100 = 100 / 20 = 5 %. S.P = 26000 and C.P = 24700. Profit = S.P – C.P = 26000 – 24700 = 1300 Profit percentage = (Profit /C.P) x 100 = (1300/26000) x 100 = 100 / 20 = 5 %. |
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| 28. |
If A And B Are Positive Integers, And X=2×3×7×a , And Y=2×2×8×b , And The Values Of Both X And Y Lie Between 120 And 130 (not Including The Two), Then A–b=? |
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Answer» We are GIVEN that x=2×3×7×a=42a and y=2×2×8×b=32b We are given that the VALUES of both x and y lie between 120 and 130 (not including the two). The only multiple of 42 in this range is 42×3=126. Hence, x=126 and a=3. The only multiple of 32 in this range is 32×4=128. Hence, y=128 and b=4. Hence, a-b=3-4= -1. We are given that x=2×3×7×a=42a and y=2×2×8×b=32b We are given that the values of both x and y lie between 120 and 130 (not including the two). The only multiple of 42 in this range is 42×3=126. Hence, x=126 and a=3. The only multiple of 32 in this range is 32×4=128. Hence, y=128 and b=4. Hence, a-b=3-4= -1. |
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