Dear ALL,

HERE is the link for the class sheet on Profit and Loss

best wishes

Manish

6 posts
• Page **1** of **1**

Dear ALL,

HERE is the link for the class sheet on Profit and Loss

best wishes

Manish

HERE is the link for the class sheet on Profit and Loss

best wishes

Manish

- sadmin
- Site Admin
**Posts:**228**Joined:**Wed Feb 13, 2013 5:51 am

these questions are from the set of practice questions or from the set of main questions?

- sadmin
- Site Admin
**Posts:**228**Joined:**Wed Feb 13, 2013 5:51 am

sir my doubts are

practice section:5,8

practice section:5,8

- sadmin
- Site Admin
**Posts:**228**Joined:**Wed Feb 13, 2013 5:51 am

5. 30% loss on cost price is what percent loss on the

selling price ?

Solution

Assume - CP = Rs 100 loss = Rs 30

SP = CP-Loss = 100- 30 = Rs 70

Loss as a percent of sp = 30/70 x 100 = 42.8 %

8. By selling 36 bananas, a vender loses the selling price

of 4 bananas. Find his loss percent.

Solution

Total cost = Total Revenue + Total Loss

36CP = 36 SP + 4 SP

SP/CP = 9/10

On simplifying we have loss = 10 5

18. A man bought an article and sold it at a loss of 5% . If he

had bought it for 10% less and sold it for Rs. 15.30

more, he would have made a profit of 15% . Find the

cost price of the article.

Solution:

Let the initial CP = X then the initial SP = 0.95 X

next CP = 0.9 X ( 10% less) Next SP = 0.95X+15.3 (15.3 more than the previous one)

Profit % = [(0.95x+15.3)/0.9x -1]*100

Ans:Rs 180

19. A man sells his car for Rs. 5000 and loses somethings.

Had he sold it for Rs. 5600 his gain would have been

double the former loss . Find his cost price .

Solution

Let Cost price of the car = CP

CP- 5000 = loss

5600- CP = 2(loss)

Loss = Rs 200

Initial CP = 5000 + 200 = Rs 5200

23./Practice Questions On a certain commodity a manufacturer takes 20% profit,

whole seller 25% profit and a retailer 40% profit. If a

consumer purchased the article for Rs. 350, find out its

manufacturing cost.

(a) 150 (b) 3

2 166 © 2

Solution:

Let C be the cost of the manufacturer. If the manufacturer sells at 20% profit then he must sell at 1.2C; like wise if the wholeseller sells at 25% profit, he must sell at 1.25 x 1.2C - Thus the final price to the consumer should be 1.2 X 1.25X1.4 X C

1.2 X 1.25X1.4 X C = 350

CP = Rs 166.66

24. A radio is sold at a profit of 25%. Cost price and selling

price both are increased by Rs. 100. If the new profit is

at the rate of 20% , find the original cost of the radio.

(a) 400 (b) 421 © 415 (d) 408

23. A shopkeeper marks his goods in such a way that after

allowing a discount of 10%, he gains 26%. How much

percent above the cost price is the marked price ?

Solution

Let the CP = Rs 100

Profit = Rs 26 therefore SP= Rs 126

But this SP must have been reached after providing a discount of Rs 10%

Therefore the SP must be equal to 90% of the MP

90% OF MP = 126 OR MP = Rs 140

Thus the MP must be 40 % above the CP.

24. A merchant marked his goods at 40% above what he

had paid for them. He was able to sell half the goods at

their marked price, but to sell the remainder, he had to

allow a discount of 10%. Find his gain %.

Solution

Assume that the merchant bought 100 units of goods at RE 1 each.

Total cost of his purchase = Rs 100

MP = Rs 1.4

Revenue earned = 1.4 x 50 (half the goods at the marked price) + 1.26x 50 ( half the goods at 10% discounted price) = 70 + 63 = 133

Profit earned by the merchant = Rs 33 on 100 that is 33 %

25. A trader marks the price of the radio 40% above the cost

price and allows 10% discount for paying cash on the

spot. If he gains Rs. 65, what is the cost of the radio?

Solution

Assume the COST price of the radio = X

MP = 1.4 X

SP = 0.9 * 1.4X

Profit = 0.9*1.4X-X=65

X =65/0.26 = Rs 250

27. A person bought two clocks . The cost price of one of

them exceeds by 1/4th of the cost of other. He sold the

dearer one at a gain of 10% and the other at a gain of

7.5% and thus got Rs. 98 in all. Find the cost of each .

Solution

Assume the cost of cheaper clock = X

The cost of the dearer clock = X +X/4 = 5/4 X

SP of the dearer clock = 1.1 * 5/4 X

SP of the cheaper one = 1.075*X

Total Revenue on both the clocks = 1.1 * 5/4 X + 1.075*X = 98

or 2.45 X = 98 or X = Rs 40

Thus the price of the dearer clock = Rs 50

selling price ?

Solution

Assume - CP = Rs 100 loss = Rs 30

SP = CP-Loss = 100- 30 = Rs 70

Loss as a percent of sp = 30/70 x 100 = 42.8 %

8. By selling 36 bananas, a vender loses the selling price

of 4 bananas. Find his loss percent.

Solution

Total cost = Total Revenue + Total Loss

36CP = 36 SP + 4 SP

SP/CP = 9/10

On simplifying we have loss = 10 5

18. A man bought an article and sold it at a loss of 5% . If he

had bought it for 10% less and sold it for Rs. 15.30

more, he would have made a profit of 15% . Find the

cost price of the article.

Solution:

Let the initial CP = X then the initial SP = 0.95 X

next CP = 0.9 X ( 10% less) Next SP = 0.95X+15.3 (15.3 more than the previous one)

Profit % = [(0.95x+15.3)/0.9x -1]*100

Ans:Rs 180

19. A man sells his car for Rs. 5000 and loses somethings.

Had he sold it for Rs. 5600 his gain would have been

double the former loss . Find his cost price .

Solution

Let Cost price of the car = CP

CP- 5000 = loss

5600- CP = 2(loss)

Loss = Rs 200

Initial CP = 5000 + 200 = Rs 5200

23./Practice Questions On a certain commodity a manufacturer takes 20% profit,

whole seller 25% profit and a retailer 40% profit. If a

consumer purchased the article for Rs. 350, find out its

manufacturing cost.

(a) 150 (b) 3

2 166 © 2

Solution:

Let C be the cost of the manufacturer. If the manufacturer sells at 20% profit then he must sell at 1.2C; like wise if the wholeseller sells at 25% profit, he must sell at 1.25 x 1.2C - Thus the final price to the consumer should be 1.2 X 1.25X1.4 X C

1.2 X 1.25X1.4 X C = 350

CP = Rs 166.66

24. A radio is sold at a profit of 25%. Cost price and selling

price both are increased by Rs. 100. If the new profit is

at the rate of 20% , find the original cost of the radio.

(a) 400 (b) 421 © 415 (d) 408

23. A shopkeeper marks his goods in such a way that after

allowing a discount of 10%, he gains 26%. How much

percent above the cost price is the marked price ?

Solution

Let the CP = Rs 100

Profit = Rs 26 therefore SP= Rs 126

But this SP must have been reached after providing a discount of Rs 10%

Therefore the SP must be equal to 90% of the MP

90% OF MP = 126 OR MP = Rs 140

Thus the MP must be 40 % above the CP.

24. A merchant marked his goods at 40% above what he

had paid for them. He was able to sell half the goods at

their marked price, but to sell the remainder, he had to

allow a discount of 10%. Find his gain %.

Solution

Assume that the merchant bought 100 units of goods at RE 1 each.

Total cost of his purchase = Rs 100

MP = Rs 1.4

Revenue earned = 1.4 x 50 (half the goods at the marked price) + 1.26x 50 ( half the goods at 10% discounted price) = 70 + 63 = 133

Profit earned by the merchant = Rs 33 on 100 that is 33 %

25. A trader marks the price of the radio 40% above the cost

price and allows 10% discount for paying cash on the

spot. If he gains Rs. 65, what is the cost of the radio?

Solution

Assume the COST price of the radio = X

MP = 1.4 X

SP = 0.9 * 1.4X

Profit = 0.9*1.4X-X=65

X =65/0.26 = Rs 250

27. A person bought two clocks . The cost price of one of

them exceeds by 1/4th of the cost of other. He sold the

dearer one at a gain of 10% and the other at a gain of

7.5% and thus got Rs. 98 in all. Find the cost of each .

Solution

Assume the cost of cheaper clock = X

The cost of the dearer clock = X +X/4 = 5/4 X

SP of the dearer clock = 1.1 * 5/4 X

SP of the cheaper one = 1.075*X

Total Revenue on both the clocks = 1.1 * 5/4 X + 1.075*X = 98

or 2.45 X = 98 or X = Rs 40

Thus the price of the dearer clock = Rs 50

- sadmin
- Site Admin
**Posts:**228**Joined:**Wed Feb 13, 2013 5:51 am

5. The difference between the selling price of a clock at a

profit of 8% and 10% is Rs. 6. Find his gain percent.

Solutions

SP at a 8% gain = 1.08 CP and SP at a 10% gain = 1.10 CP

1.1CP - 1.08 CP = 6

0.02 CP = 6

CP =Rs300

8. A businessman sells 20% of his stock at 10% profit;

50% of the remainder, he sells at 10% loss. At what

percent profit, he must sell the remainder stock, so as

to get 5% profit on the total stock ?

Solution

Assume that the merchant bought 100 units at Re1 per unit

Cost of the merchant= Rs 100

Revenue = 20 * 1.2 + 40 *0.8 + 40 * x= 105

Note :the total revenue for 5 % gain must be Rs 105

x = 47/40 or x =1.175

THERE FORE THE remaining stock must be sold at a profit of 17.5 %

profit of 8% and 10% is Rs. 6. Find his gain percent.

Solutions

SP at a 8% gain = 1.08 CP and SP at a 10% gain = 1.10 CP

1.1CP - 1.08 CP = 6

0.02 CP = 6

CP =Rs300

8. A businessman sells 20% of his stock at 10% profit;

50% of the remainder, he sells at 10% loss. At what

percent profit, he must sell the remainder stock, so as

to get 5% profit on the total stock ?

Solution

Assume that the merchant bought 100 units at Re1 per unit

Cost of the merchant= Rs 100

Revenue = 20 * 1.2 + 40 *0.8 + 40 * x= 105

Note :the total revenue for 5 % gain must be Rs 105

x = 47/40 or x =1.175

THERE FORE THE remaining stock must be sold at a profit of 17.5 %

- sadmin
- Site Admin
**Posts:**228**Joined:**Wed Feb 13, 2013 5:51 am

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