Profit, Loss and Discount Test

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Profit, Loss and Discount Test - 4

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Question 1
1 / -0

Radha purchased a gift for Rs 84and sold it to her friend Ritu forRs 91. Find her gain percent.

A
8.3

B
6.6

C
7.5

D
5.4

Solution

Given, CP = Rs. 84

The price at which she sold it, SP = Rs. 91

Gain = SP – CP

= (91 – 84)

= Rs. 7

Now Gain % = (Gain/CP) x 100

= (7/84) x 100

= 700/84

Gain = 8.3%
Question 2
1 / -0

A grain merchant sold 60 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 25 and his total overhead charges for transportation, etc. were Rs 10 find his total profit and the selling price of 60 quintals of rice.

A
1615.7

B
1515.7

C
1415.7

D
1315.7

Solution

Given Cost of 1 quintal of rice = Rs. 25

Cost of 60 quintals of rice = 60 x 25 = Rs. 1500

Overhead expenses = Rs. 10

CP = Rs. (1500 + 10) = Rs. 1510

Profit % = (Profit/CP) x 100

7 = (Profit /1510) x 100

Profit = 1510 x 7/100

Profit = Rs. 105.70

Now SP = CP + profit

= Rs. (1510 + 105.70)

SP = Rs. 1615.70
Question 3
1 / -0

Jyotsana bought 480 eggs at Rs12 a dozen. At what price per hundred must she sell them so as to earn a profit of 10%?

A
600

B
425

C
528

D
412

Solution

Given cost of eggs per dozen = Rs. 12

Cost of 1 egg = 12/12

= Rs. 1

Cost of 480 eggs = 480 x 1 = Rs. 480

Calculating the price at which Jyotsana should sell the eggs to earn a profit of 10%,

We get 10% of 480 + 480

= {(10/100) x 480} + 480

= {4800/100} + 480

= 48 + 480

= Rs. 528.
Question 4
1 / -0

Harish purchased 50 dozen bananas for Rs 135. Five dozen bananas could not be sold because they were rotten. At what price per dozen should Harish sell the remaining bananas so that he makes a profit of 20%?

A
2.5

B
1.7

C
3.6

D
3.8

Solution

Given cost price of 50 dozens bananas that Harish purchased, CP = Rs. 135

Bananas left after removing 5 dozen rotten bananas = 45 dozens

Effective CP of one dozen bananas = Rs. 135/45 = Rs. 3

Calculating the price at which Harish should sell each dozen bananas to make a profit of 20% (or 1/5), we get

Profit % = (Gain/CP) x100

To get a gain of 20% we give profit % = 20

And substitute 20 = (gain/135) x100

Gain = 270/10 = 27

We know; SP = CP + Gain

SP = 27 + 135

SP = 162

Now that SP is for 45 Dozens of bananas

Calculating for one dozen

= 162/45

= Rs. 3.6

Harish should sell the bananas at Rs. 3.60 a dozen in order to make a profit of 20%.
Question 5
1 / -0

A bookseller sells all his books at a profit of 10%. If he buys a book from the distributor at Rs100, how much does he sell it for?

A
220

B
110

C
90

D
100

Solution

Given profit % = 10% CP = Rs. 100

Since SP = {(100 + profit %) /100} x CP

= {(100 + 10)/100} x 100

= {110/100} x 100 = Rs. 110

The bookseller sells the book for Rs. 110.
Question 6
1 / -0

By selling an article for Rs 24, a man makes a profit of 20%.What is his C.P.? What would his profit percent be if he sold the article for Rs 27.5?

A
37.5

B
32.5

C
27.5

D
30.5

Solution

Let CP = Rs. x SP = Rs. 24

Let profit be Rs. P.

Now, profit % = 20%

Since Profit % = (Profit/CP) x 100

20 = (P/x) x 100

P = 20x/100 = x/5

Profit = SP – CP = 24 – x

P = 24 – x

x /5 = 24 – x

24= x + x/5

24 = 6x/5

x = 120/6

x = 20

So, CP = Rs. 20

New SP = Rs. 27.5 and CP = Rs. 20

Profit % = {(SP – CP)/CP} x 100

{(27.5 – 20)20} x 100 = (75/200) x 100

= 7500/200

= 37.5%
Question 7
1 / -0

Nitu buys eggs at Rs52 per two dozen and sells them at 10 for Rs26. Find his gain percent.

A
23.87

B
20.3

C
20.3

D
18.7

Solution

Given CP of 1 dozen eggs = Rs. 26

CP of 1 egg = 26/12

= Rs. 2.16

CP of 5 egg = 2.16 x 5

= Rs. 10.8

Now, SP of 5 eggs = Rs. 13

Gain = SP – CP

= Rs. (13- 10.8)

= Rs. 2.2

Gain %= (Gain/CP) x 100

= (2.2/10.8) x 100

Gain = 20.3%
Question 8
1 / -0

Dipak makes a 10% profit by selling a watch costing him Rs 1200. What is the selling price?

A
1320

B
1440

C
1440

D
1300

Solution

CP = Rs. 1200

Profit % = 10

We now that

SP = {(100 + profit %) /100} x CP = {(100+ 10)/100} x 1200

= {(110/100)} x 1200 = 1.1 x 1200

= Rs. 1320
Question 9
1 / -0

Sachin bought 5 dozen oranges at Rs 6.40 a dozen. Out of these 2oranges were found to be rotten. She sold the remaining oranges at 55 paise per orange. Find her gain or loss percent.

A
0.31

B
0.35

C
0.42

D
0.33

Solution

Given cost of one dozenoranges = Rs. 6.40

Cost of 5 dozen oranges = 5 x 6.40 = Rs. 32

Total number of orange = 5 x 12 = 60

Number of orange left after removing the rotten ones = 60– 2= 58

SP of 1 oranges = 55 paise

So, SP of 58oranges = 58x 55 = 3190 paise

= Rs. 3190/100

= Rs. 31.9

Loss = CP – SP

= Rs. (32 – 31.9) = Rs. 0.1

Loss % = (Loss/CP) x 100

= (1/320) x 100

Loss = 0.31%
Question 10
1 / -0

Aditya bought a scooty for Rs 36500 and spent Rs 13500 on its repairs. If he sold it for Rs 55000, find his gain percent.

A
25

B
20

C
15

D
10

Solution

Given Aditya spent to purchase the scooty = Rs. 36500

Amount he spent on repair = Rs. 13500

Total amount he spent on the scooty (CP) = Rs. (36500 + 13500)

= Rs. 50000

Given SP of the scooty = Rs. 55000

Gain = SP – CP

= Rs. (55000 – 50000)

= Rs. 5000

Gain % = (Gain/CP) x 100

= (5000/50000) x 100

= 500000/50000

Gain = 10%

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Re-Attempt Weekly Quiz Competition

Profit, Loss and Discount Test - 4

Result

Profit, Loss and Discount Test - 4

Score

-

Rank

-

SHARING IS CARING

Question 1

8.3

6.6

7.5

5.4

Solution

Question 2

1615.7

1515.7

1415.7

1315.7

Solution

Question 3

600

425

528

412

Solution

Question 4

2.5

1.7

3.6

3.8

Solution

Question 5

220

110

90

100

Solution

Question 6

37.5

32.5

27.5

30.5

Solution

Question 7

23.87

20.3

20.3

18.7

Solution

Question 8

1320

1440

1440

1300

Solution

Question 9

0.31

0.35

0.42

0.33

Solution

Question 10

25

20

15

10

Solution

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