Profit and Loss problems with solutions :-

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Must watch this video lecture before solving questions :-

Get all these video lectures in DVD here :-

**Q1. Amit sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?**

a) Rs.11.81 b) Rs.12 c) Rs.12.25

d) Rs.12.31 e) None of these

**Q2.**

**A seller give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a radio. If the final sale price of the radio is Rs.704, then what is its labeled price?**

a) Rs.844.80 b) Rs.929.28 c) Rs.1000

d) Rs.1044.80 e) None of these

**Q3.**

**If the cost price of a bundle of pages is Rs.300 and the percent markup is 20%. What is the marked price?**

a) 375 b) 390 c) 360

d) 310 e) None of these

**Q4. B**

**y selling 18 packets of biscuits, a vendor loses the selling price of 2 chocolates. Find his loss percent?**

a) 15% b) 5% c) 8%

d) 10% e) None of these

**Q5.**

**If the cost price of 15 apples, is same as the selling price of 20 apples. What is the gain or loss percent?**

a) 15% b) 25% c) 23%

d) 16% e) None of these

**Q6.**

**A vendor bought bananas at 6 for Rs.10 and sold them at 4 for Rs.6. Find his gain or loss percent**?

a) 13% b) 15% c) 10%

d) 22% e) None of these**Q7. A grocer purchased 80 kg of sugar at Rs.13.50 per kg and mixed it with 120 kg sugar at Rs.16 per kg. At what rate should he sell the mixture to gain 16%**

a) Rs.19 per kg b) Rs,25 per kg c) Rs.17.40 per kg

d) Rs.19.40 per kg e) None of these

**Q8. A retailer bought 20 kg tea at a discount of 10%. Besides 1 kg tea was freely offered to him by the wholesaler at the purchase of 20 kg tea. Now he sells all the tea at the marked price to a customer. What is profit percentage of retailer?**

a) 30% b) 12% c) 16.66%

d) 25% e) None of these

**Q9. Kavya saves Rs.25 by getting 6.66% discount on a textbook. What is the amount of money (in Rs.) paid by her?**

a) 450 b) 350 c) 225

d) 375 e) None of these

**Q10. At Reliance petrol pump the operator gives 5% less petrol but he sells it at the cost price. What is his profit in this way?**

a) 5% b) 5.6% c) 5.26%

d) 4.78% e) None of these

**Q11.**

**A bookseller procures 40 books for Rs.3200 and sells them at a profit equal to the selling price of 8 books. What is the selling price of one dozen books, if the price of each book is same?**

a) 720 b) 960 c) 1200

d) 1440 e) None of these

**Q12. Cello produces every fine quality of writing pens. Company knows that on an average 10% of the produced pens are always defective so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at Rs.10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufacturing cost of each pen?**

a) Rs. b) Rs.7.2 c) Rs.5.6

d) Rs.8 e) None of these

**Q13.**

**By selling an article, John earned a profit equal to one-fourth of the price he bought it. If he sold it for Rs.375, what was the cost price?**

a) Rs.281.75 b) Rs.300 c) Rs.312.50

d) Rs.350 e) None of these

**Q14. A trader mixes three varieties of groundnuts costing Rs.50, Rs.20 and Rs.30 per kg in the ratio 2 : 4 : 3 in terms of weight, and sells the mixture at Rs.33 per kg. What percentage of profit does he make?**

a) 8% b) 9% c) 10%

d) 11% e) None of these

**Q15. A manufacturer offers a 20% rebate on the marked price of a product. The retailer offers another 30% rebate on the reduced price. The two reductions are equivalent to a single reduction of :**

a) 40% b) 44% c) 46%

d) 50% e) None of these

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**Solutions **

**1**.

**Option A**

85 : 9 = 105 : x

x = [9 × 105/80]

= Rs.11.81

Hence, S.P. per kg = Rs.11.81

**2.**

**Option C**

Let the labeled price be Rs.x

88% of 80% of x = 704

x = [704 × 100 × 100 / 88× 80]

= 1000

**3.**

**Option C**

MP = CP + % markup on CP

= 300 + 300 × 20 / 100

MP = Rs.360

**4.**

**Option D**

Let the SP of 1 chocolate = Rs.1

SP of 18 chocolates = Rs.18

Loss = Rs.2

CP = SP + Loss

= 18 + 2 = Rs.20

So, percentage loss = Loss / C.P. × 100

= 2 / 20 × 100 = 10%

**5.**

**Option B**

CP of 15 apples = SP of 20 apples

CP × 15 = SP × 20

CP / SP = 4 / 3

So, you can see that CP > SP, therefore, there will be loss.

Now consider CP = 4, then SP = 3

So, loss = 1

Loss(%) = Loss / C.P. × 100

= 1 / 4 × 100 = 25%

Loss = 25%

**6.**

**Option C**

Suppose, number of bananas bought = L.C.M. of 6 and 4 = 12

So, C.P. = Rs.[ 10 / 6× 12] = Rs.20; S.P. = Rs.[ 6 / 4 × 12] = Rs.18

So, Loss% = [ 3 / 20× 100]% = 10%

**7.**

**Option C**

C.P. of 200 kg of mixture = Rs.(80 × 13.50 + 120 × 16) = Rs.3000

S.P. = 116% of Rs.3000 = Rs.[ 116 / 100 × 3000] = Rs.3480

So, rate of S.P. of the mixture = Rs.[3480 / 200] per kg = Rs.17.40 per kg

**8.**

**Option C**

Let the MP of 1 kg tea be Rs.1, then CP of 20 kg with discount = 20 × 0.9 = Rs.18

Also 1 kg tea is free. So the retailer gets tea worth Rs.21 by paying Rs.18 only.

Profit% = Goods Left / Goods Sold × 100

= 21 - 18 / 18 × 100 = 16.66%

**9.**

**Option B**

6.66% of MP = 25

MP = 375

SP = MP ⎯ 25 = 350

**10.**

**Option C**

Profit% = 5 / 95 × 100 = 5.26%

**11.**

**Option C**

CP = Rs.80 [= 3200 / 40]

Now SP of 40 books = CP of 40 books + SP of 8 books

SP of 32 books = 3200

SP of 1 book = Rs.100

So, required SP of 1 dozen books = Rs.1200

**12.**

**Option B**

You must know that the company is able to deliver only 90% of the manufactured pens. So let k be the manufacturing price of a pen, then

Total income (including 25% profit) = (8000 × k) × 1.25

Also this same income is obtained by selling 90% manufactured pens at Rs.10 which is equal to 7200 × 10

Thus, (8000 × k) 1.25 = 7200 × 10

K = Rs.7.2 (90% of 8000 = 7200)

**13.**

**Option B**

S.P. = C.P. + 1 / 4 C.P. = 5 / 4 C.P.

So, 5 / 4 C.P. = 375

C.P. = Rs. [375 ×4 / 5 ] = Rs.300

**14.**

**Option C**

Suppose he bought 2 kg, 4 kg and 3 kg of the three varieties.

C.P. of 9 kg = Rs. (2 × 50 + 4 × 20 + 3 × 30) = Rs.270

S.P. of 9 kg = Rs. (9 × 33) = Rs.297

So, profit % = [ 27 / 270 × 100]% = 10%

**15.**

**Option B**

Let marked price be Rs.100

Then, Final S.P. = 70% of 80% of Rs.100 = Rs. [ 70 / 100 × 80 / 100 × 100] = Rs.56

So, single discount = (100 ⎯ 56) = 44%