A shopkeeper bought and sold 40 widgets. the cost of the widgets was recovered when 32 of them

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Answer 1. (a) Let the total number of bad widgets be= A

The total number of good widgets= 1000 –A

If he takes test I, his total cost will be = Rs. 2(1000) + 25 X 0.8A + 50 X 0.2A

If he takes test II, his total cost will be : Rs. 3(1000) + 25 X A

According to the conditions given, testing will be worth is the cost of testing is less than the cost of penalty levied on the defective pieces.

In order to figure out the answers, let us chart out all the options given in the answer options and build a table for the given values:

A shopkeeper bought and sold 40 widgets. the cost of the widgets was recovered when 32 of them
From the above table, it is clear that if the number of defectives more than 100, the cost of testing is cheaper than the penalty. For 100 defectives, the cost of penalty is the same as that for testing. It is obvious that for number of defectives above 100 cost of any testing is cheaper than the penalty. Thus, below 100 defectives, the penalty cost is will less than the cost of testing and hence, it is not worth testing.

Answer 2. (d) We can use the table above to figure out the answer. For 120 widgets, he should go for test I as it is cheaper.

Answer 3. (c) We can use the table above to figure out the answer. From the table, we can find that if the number of defectives is between 200 & 400, he should go for Test II as it is cheaper.

Answer 4. (a) Again, we use the table above. If there are 160 defectives, he should use test I as it is cheaper.

Answer 5. (a) Using the table above, we can see that if there are 200 defective widgets in the lot, the cost for Test I or II is the same (Rs. 8000). Thus, Prakash may use either Test I or Test II.

Hello Aspirants.

Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample in Profit and loss, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in exams!!!

  1. Rahim went shopping to buy a Mobile, the shopkeeper asked him to pay 18% Tax if he wants a bill. If not you can get 7% discount on the actual price of the mobile. Then Rahim decided not to take the bill and paid Rs. 4650. By this how much money could Rahim saved on purchasing mobile? 1. Rs.250 2. Rs.350 3. Rs.650 4. Rs.850 5. Rs.1250

    Answer – 5. Rs.1250
    Explanation: SP*93/100 = 4650 SP = 5000 Including tax= 5000+900 = 5900

    Saving = 5900-4650 = 1250


  2. A seller bought 2750 Mangoes and 1210 Apples at the same price. He sells in such a way that he can buy 406 Mangoes with the sale of 322 Mangoes and he can buy only 289 Apples with the sale of 391 Apples. Then what is the overall profit percentage made by him? 1. 0% 2. 2% 3. 5% 4. 6% 5. 10%

    Answer – 1. 0% Explanation: Cost of 2750 Mangoes = 1210 Apples Total cost = 2420 Apples Given: 406 = 322(100+x/100) x = 6/23% Given: 289 = 391(100+y/100) y = 6/23% loss Overall profit: 2750 Mangoes*(100+6/23/100) +1210 Apples*(100-6/23/100) = 2420*Apples (100+P/100) 1210 Apples*(100+6/23/100) +1210 Apples*(100-6/23/100) = 2420*Apples (100+P/100)

    P = 0%


  3. Aryan sold a repair mobile to Bhaskar at a profit of 30% and Bhaskar sold it to Chandu at a profit of 20%. Chandu sold it to Dinesh at a loss of 23.07%. Dinesh repaired the mobile by spending 5% of his purchasing price and then sold it again to Aryan at a profit of 3.17%.Then what is the loss of Aryan? 1. 5% 2. 10% 3. 15% 4. 20% 5. No Loss No Profit

    Answer – 5. No Loss No Profit
    Explanation : Aryan Let CP = 100 SP = 130 Bhaskar = 156 Chandu = 120 Dinesh = 126+3.17% = 130

    Aryan = 130-130 = 0


  4. The ratio selling prices three articles A, B, and C is 29:27:32., the ratio of percentage profit is 4:2:5, respectively. If the cost price of article A is equal to B and the cost price of article C is Rs. 480. Then what is the overall gain? 1. 10% 2. 12% 3. 15% 4. 18% 5. 19%

    Answer – 3. 15%
    Explanation : 29y/27y = (100+4x/100+2x) x = 4 % are 16%,8%,20% 32y = 480(120/100) y =18 SP’s are 522,486,576 CP of A 29*18 = CP (116/100) CP =450 CP’s are 450,450 and 480 Overall gain = 1584 =1380(100+g/100)

    g =15%


  5. Swati went shopping to buy a watch with some money. She selected a watch, which is marked Rs.400 higher price than the money she had. But shopkeeper gave two successive discounts of 10% and 15% respectively on the marked price of the watch. Then she could buy that watch and also another watch worth Rs.540 with all the money she had. Then what is the marked price on the first watch? 1. Rs.3060 2. Rs.3600 3. Rs.4000 4. Rs.4200 5. Cannot be determined

    Answer – 3. Rs.4000
    Explanation : (x+400)*90/100*85/100+540 =x x = 3600

    MP = 3600+400 = 4000


  6. A trader sells Rice to a customer at a profit of x% over the cost price, besides if he cheats his customer by giving 950 g instead of 1Kg. Thus his overall percentage is 20%. Then what is the value of x? 1. 10 2. 12 3. 14 4. 15 5. 20

    Answer – 3. 14
    Explanation : 1000*(100+x/100) = 950*120/100

    x = 14%


  7. A trader sells two varieties of Rice A and B. He Mixes 12 Kg of A with 16 kg of B, and by selling this mixture at price of B Rice he gets 20% profit. If the price of A variety Rice is Rs.66/Kg, then what is the price of B variety /Kg. 1. Rs.72 2. Rs.84 3. Rs.96 4. Rs.108 5. None

    Answer –4. Rs.108
    Explanation : Explanation: 120/100*(12*66+16B) = 28*B

    B = 108


  8. Akash bought a Sopha for Rs. 50,000. After one year he sold it to Bhuvan at 10% less of his cost price. Bhuvan spends extra Rs.600 for its repair. And offered Sopha to Charan for Rs.X. Charan requested to get a discount of 15% on that price. But Bhuvan gave him two successive discounts of 10% and 5% instead of 15%.By this Bhuvan got Rs.300 more from Charan. What is the profit % of Bhuvan? 1. 10% 2. 12.5% 3. 15% 4. 20% 5. None

    Answer – 2. 12.5%
    Explanation : x*(90/100*95/100 – 85/100) = 300 x =60,000 Now Charan purchased for 60,000*90/100*95/100 = 51300 Bhuvan CP =45000+600 =45600 51300 = 45600*(100+p/100)

    p = 12.5%


  9. A mobile of Rs.8000 was offered 20% discount on Diwali by Flipkart. Shriya availed the offer and she got additional 10% by paying through Debit card. After that, she spent 10% of the purchased price for buying Screen guard and Back Cover. At what price she should sell to Sravani the Mobile (with screen guard and Back Cover)to incur a loss of 25%? 1. 4752 2. 5140 3. 5422 4. 5760 5. None

    Answer – 1. 4752
    Explanation : Solution: 8000*80/100*90/100 = 5760 Back cover+screen guard =576 Total = 6336

    Sravani = 6336*75/100 = 4752


  10. The ratio selling prices three articles A, B, and C is 19:25:27., the ratio of percentage profit is 7:10:4, respectively. If the cost price of article A and B is 400 and 500 respectively. Then what is the total Selling price of all three articles? 1. Rs.1644 2. Rs.1674 3. Rs.1694 4. Rs.1704 5. None

    Answer – 4. Rs.1704
    Explanation : 400*(1+7x/100)/ 500*(1+10x/100) = 19/25 x = 2 Profit percentages = 14%, 20% and 8% 19*y = 400*114/100 y = 24

    Total SP = (19+25+27)*24 = 1704






A shopkeeper bought and sold 40 widgets. the cost of the widgets was recovered when 32 of them

Free

25 Qs. 50 Marks 20 Mins

Given:

Loss of a shopkeeper (Calculating on S.P) = 40%

Formula Used:

Loss % = (C.P - S.P)/C.P × 100

Calculation:

Actual formula = Loss % = (C.P - S.P)/C.P × 100

But shopkeeper used incorrect formula = Loss% = (C.P - S.P)/S.P × 100

Let the S.P of a article be 100x, then C.P be 140x.

C.P is higher than S.P, then

loss = 140x - 100x 

⇒ 40x

Loss percentage = (40x/140x) × 100

⇒ 200/7%

∴ Loss percent is 200/7%.

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