IIT JEE Practice Question and Answer
8Q: The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is: 1135 05b5cc76ae4d2b4197774fe4f
5b5cc76ae4d2b4197774fe4f- 132true
- 240false
- 316false
- 430false
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Answer : 1. "32"
Explanation :
Answer: A) 32 Explanation: Let C.P. of each Magazine be Rs. 1 C.P. of P articles = Rs. P. S.P. of P articles = Rs. 40. Profit = Rs. (40 - P) Now, Gain% = ProfitC.P×100 = 40-PP×100 Here 40-PP×100= 25 -->P = 32.
Q: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 2061 05b5cc76ae4d2b4197774fe4a
5b5cc76ae4d2b4197774fe4a- 125%false
- 221.14%false
- 322.54%true
- 427.32%false
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Answer : 3. "22.54%"
Explanation :
Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224. S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276 Profit % = ProfitC.P×100 = 2761224×100 = 22.54%.
Q: In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ? 1442 05b5cc767e4d2b4197774fe45
5b5cc767e4d2b4197774fe45- 161%true
- 275%false
- 355%false
- 481%false
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Answer : 1. "61%"
Explanation :
Answer: A) 61% Explanation: Let C.P.= Rs. 100. Then, Profit = Rs.220, S.P. = Rs.320. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195 Required percentage = 195320×100== 60.9 =~ 61%
Q: Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ? 4203 05b5cc767e4d2b4197774fe36
5b5cc767e4d2b4197774fe36- 1Rs. 5422false
- 2Rs. 5489false
- 3Rs. 4511true
- 4Rs. 6145false
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Answer : 3. "Rs. 4511"
Explanation :
Answer: C) Rs. 4511 Explanation: Now as per question, Karan invested for 12 months and Satish invested for 7 months. So, Karan:Satish = (29000 x 12):(18000 x 7) = 348:126 = 58:21 Satish Ratio in profit will be= 16970×2179 = Rs. 4511
Q: Ravi, Anand and Pranay are running a business firm in partnership. What is Anand's share in the profit earned by them? a. Ravi, Anand and Pranay invested the amounts in the ratio of 2 : 4 : 7. b. Pranay's share in the profit is Rs. 8750. 1217 05b5cc767e4d2b4197774fe31
5b5cc767e4d2b4197774fe31- 1Only a is sufficientfalse
- 2Neither a nor b is sufficientfalse
- 3Only b is sufficientfalse
- 4Both a and b sufficienttrue
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Answer : 4. "Both a and b sufficient"
Explanation :
Answer: D) Both a and b sufficient Explanation: Given Pranay's profit in the share is Rs. 8750 But given that their investments are in the ratio 2:4:7 713×P = 8750 P = 16250 Now Anand's share = 413×16250 = Rs.5000 Thus both staements a and b are sufficient to answer this question.
Q: K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L? 1326 05b5cc767e4d2b4197774fe22
5b5cc767e4d2b4197774fe22- 1Rs. 13,204false
- 2Rs. 14,521false
- 3Rs. 12,800true
- 4Rs. 15,000false
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Answer : 3. "Rs. 12,800"
Explanation :
Answer: C) Rs. 12,800 Explanation: Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio. Ratio of K and L is 16000×8x×4=52 x = Rs. 12,800.
Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1004 05b5cc767e4d2b4197774fe10
5b5cc767e4d2b4197774fe10- 1Only a is sufficientfalse
- 2Neither a nor b is sufficientfalse
- 3Only b is sufficientfalse
- 4Both a and b sufficienttrue
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Answer : 4. "Both a and b sufficient"
Explanation :
Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.
Q: There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ? 1634 05b5cc767e4d2b4197774fe01
5b5cc767e4d2b4197774fe01- 1Rs. 5422false
- 2Rs. 5489false
- 3Rs. 3972true
- 4Rs. 6145false
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Answer : 3. "Rs. 3972"
Explanation :
Answer: C) Rs. 3972 Explanation: Let p = Rs. 100. Then, S.I is Rs. 50 and time = 5 years. ∴ R = 100×50100×5= 10% p.a. Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a. C.I. = Rs. 12000×1+101003-1= Rs. 3972