GATE Practice Question and Answer

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: 2100 0

  • 1
    25%
    Correct
    Wrong
  • 2
    21.14%
    Correct
    Wrong
  • 3
    22.54%
    Correct
    Wrong
  • 4
    27.32%
    Correct
    Wrong
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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 ? 1478 0

  • 1
    61%
    Correct
    Wrong
  • 2
    75%
    Correct
    Wrong
  • 3
    55%
    Correct
    Wrong
  • 4
    81%
    Correct
    Wrong
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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%

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Answer : 2. "Both a & b follows"
Explanation :

Answer: B) Both a & b follows Explanation: Enforcing a penalty will motivate people to pay the bills. So, course of action a follows.It is general tendency to act accordingly when a penalty clause slapped. So, course of action b follows.

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 ? 4240 0

  • 1
    Rs. 5422
    Correct
    Wrong
  • 2
    Rs. 5489
    Correct
    Wrong
  • 3
    Rs. 4511
    Correct
    Wrong
  • 4
    Rs. 6145
    Correct
    Wrong
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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: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 1190 0

  • 1
    8 months
    Correct
    Wrong
  • 2
    6 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    9 months
    Correct
    Wrong
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Answer : 1. "8 months"
Explanation :

Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31  --> x = 8 months.

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. 1237 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Neither a nor b is sufficient
    Correct
    Wrong
  • 3
    Only b is sufficient
    Correct
    Wrong
  • 4
    Both a and b sufficient
    Correct
    Wrong
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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: Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join. 1576 0

  • 1
    7 months
    Correct
    Wrong
  • 2
    8 months
    Correct
    Wrong
  • 3
    3 months
    Correct
    Wrong
  • 4
    4 months
    Correct
    Wrong
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Answer : 4. "4 months"
Explanation :

Answer: D) 4 months Explanation: we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.   76000×1257000×(12-x)=21   --> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912 --> x = 4 After 4 months amar join the business.

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? 1353 0

  • 1
    Rs. 13,204
    Correct
    Wrong
  • 2
    Rs. 14,521
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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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.

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