Profit Loss Discount Example-1

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Profit Loss Discount examples ( Enter your problem )

( Enter your problem )

3. Percentage
(Previous method)

5. Simple Interest
(Next method)

1. Example-1

Problem : 1 / 21 [ Profit Loss Discount ] Enter your problem 1. Find selling price when cost price = Rs 50 , Loss/Gain = 10 % .


Solution:	`"C.P." = "Rs" 50," Gain" = 10%` `"S.P." = "C.P." × (100 + "Gain"%) / 100 = 50 × (100 + 10) / 100 = 55 " Rs"` `"C.P." = "Rs " 50," Loss" = 10%` `"S.P." = "C.P." × (100 - "Loss"%) / 100 = 50 × (100 - 10) / 100 = 45 " Rs"`

Problem : 2 / 21 [ Profit Loss Discount ] Enter your problem 2. Find cost price when selling price = 55 , Loss/Gain = 10 %


Solution:	`"S.P." = "Rs "55," Gain" = 10%` `"C.P." = "S.P." × 100/(100 + "Gain"%) = 55 × 100/(100 + 10) = 50 " Rs"` `"S.P." = "Rs "55," Loss" = 10%` `"C.P." = "S.P." × 100/(100 - "Gain"%) = 55 × 100/(100 - 10) = 61.1111 " Rs"`

Problem : 3 / 21 [ Profit Loss Discount ] Enter your problem 3. Find Loss/Gain % when cost price = 50 and selling price = 55 .


Solution:	`"C.P." = "Rs "50," S.P." = "Rs "55` `"Gain" = "S.P." - "C.P." = 55 - 50 = "Rs "5` `"Gain" % = ("Gain" × 100)/("C.P.") = (5 × 100)/50 = 10%`

Problem : 4 / 21 [ Profit Loss Discount ] Enter your problem 4. By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.


Solution:	Here `"S.P." = "Rs "110," Loss" = 12%` `"C.P." = "S.P." × 100/(100 - "Loss"%) = 110 × 100/(100 - 12) = 125" Rs"` Now, `"C.P." = "Rs "125," Gain" = 8%` `"S.P." = "C.P." × (100 + "Gain"%)/100 = 125 × (100 + 8)/100 = 135" Rs"`

Problem : 5 / 21 [ Profit Loss Discount ] Enter your problem 5. A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whole transaction.


Solution:	In such a problem selling price is not neccessary. There is always a loss given by Loss % = `(( text{Common Gain or Loss } %)/10)^2 = (5/10)^2 = 0.25` %

Problem : 6 / 21 [ Profit Loss Discount ] Enter your problem 6. If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.


Solution:	Let C.P. of each article be Rs `1` C.P. of `10` articles = Rs `10` S.P. of `10` articles = Rs `12` `:.` Gain % `= ("Gain" × 100)/("C.P.") = (2 × 100)/10 = 20` %

Problem : 7 / 21 [ Profit Loss Discount ] Enter your problem 7. By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent.


Solution:	(S.P. of `100` pencils) - (C.P. of `100` pencils) = S.P. of `20` pencils. `:.` S.P. of `80` pencils = C.P. of `100` pencils Let C.P. of each pencil be Rs `1` C.P. of `80` pencils = Rs `80` S.P. of `80` pencils = Rs `100` `:.` Gain % `= ("Gain" × 100)/("C.P.") = (20 × 100)/80 = 25` %

Problem : 8 / 21 [ Profit Loss Discount ] Enter your problem 8. A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 grams for 1000 grams. Find the gain percent.


Solution:	Here Gain = price of `40` grams and C.P. = price of `960` grams Gain % `= ("Gain" × 100)/("C.P.") = (40 × 100)/960 = 4.1667` %

Problem : 9 / 21 [ Profit Loss Discount ] Enter your problem 9. If the marked price of an article is Rs 380 and a discount of 5 % is given on it, what is the selling price ?


Solution:	Here marked price = Rs `380` and discount = `5` % S.P. = `95` % of Rs `380 = 95/100 × 380 = 361` Rs

Problem : 10 / 21 [ Profit Loss Discount ] Enter your problem 10. If 12 % is allowed as discount on a radio and its selling price is Rs 836 , what is its marked price ?


Solution:	Here discount = `12` % and S.P. = `836` Let Marked Price = Rs X `88` % of X = `836` `:. X = 836 × 100/88` `:. X = 950` `:.` Marked Price = Rs `950` .

Problem : 11 / 21 [ Profit Loss Discount ] Enter your problem 11. A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.


Solution:	Let C.P. = Rs `100`. Then, marked price = Rs `(100 + 25` % of `100)` = Rs `125` S.P. = `92` % of `125` = Rs `115` Gain = S.P. - C.P. = `115 - 100 = 15` Gain% = `15` %

Problem : 12 / 21 [ Profit Loss Discount ] Enter your problem 12. Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?


Solution:	Let marked price = Rs `100` S.P. After first discount = `80` % of `100` S.P. After second discount = `90` % of `80` % of `100` = Rs `72` . This is equivalent to a single discount of `( 100 - 72 ) % = 28 %`.

Problem : 13 / 21 [ Profit Loss Discount ] Enter your problem 13. If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increased to 20 %.


Solution:	Let list price = Rs `100`, commission = `10` % and gain = `20` % `:. "S.P." = "Rs" 90` `:. "C.P." = 100/120 × 90` = Rs `75` Now if commission = `20` %, Then New S.P. = Rs `80` New Gain % = `(5/75 × 100) % = 6.6667 %`

Problem : 14 / 21 [ Profit Loss Discount ] Enter your problem
14. If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the printed price, what is the percentage of his profit ?

Solution:

Let the printed price be Rs `100`

manufacturer gives `20` % commission to the dealer on the printed price, i.e. commission is Rs `20`

`:.` dealer will pay Rs `( 100 - 20 )` = Rs `80` for the printed price Rs `100`

And now it sells it at printed price, so the sales price is Rs `100` and the cost price is Rs `80`

`:.` Profit `= "S.P." - "C.P." = 100 - 80 = 20`

C.P.	Profit
80	20
100	?

Profit = `20 × 100/80 = 25 %`

`:.` the profit is `25` %

Problem : 15 / 21 [ Profit Loss Discount ] Enter your problem
15. A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price, find his prifit in percentage.

Solution:

Let the pritned price be Rs `100`

A dealer gets `25` % commission on the printed price of an item

Amount paid by the dealer = printed price - commision = `100 - 25 = 75`

Now he gives `10` % discount to the customer on printed price

Amount paid by customer = printed price - discount `= 100 - 10 = 90`

That means dealer purchase it for Rs `75` and sells it for Rs `90`

`:.` proit `= "S.P." - "C.P." = 90 - 75 = 15`

C.P.	Profit
75	15
100	?

Profit = `15 × 100/75 = 20 %`

`:.` the profit is `20` %

Problem : 16 / 21 [ Profit Loss Discount ] Enter your problem
16. The printed price of a saree is Rs 900 . A cloth-mearchant purchases it at 15 % commission. He spends Rs 35 for roll-polish and then sells the saree at the printed price. What is the prifit of the merchant in percentage ?

Solution:

A cloth-mearchant purchases a saree at `15` % commission

Purchase Price = Printed price - commission `= 100 - 15 = 85`

Printed Price	Purchase Price
100	85
900	?

Purchase price = `85 × 900/100 = 765`

The Purchase price = `765`

C.P. = purchase price + other expenses `= 765 + 35 = 800`

S.P. = printed price = Rs `900`

Profit `= "S.P." - "C.P." = 900 - 800 = 100`

Problem : 17 / 21 [ Profit Loss Discount ] Enter your problem
17. A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.

Solution:

A carpenter decided the price so that he would get `20` % profit

Decided Price = C.P. + Profit `= 100 + 20 = 120` .

C.P.	Decided Price
100	120
1500	?

Decided price = `120 × 1500/100 = 1800`

`:.` Decided price = `1800`

He gave `8` % commission on the decided price

S.P. = Decided price - commission `= 100 - 8 = 92`

Decided Price	S.P.
100	92
1800	?

S.P. = `92 × 1800/100 = 1656`

`:.` the sales price is Rs `1656`

Profit `= "S.P." - "C.P." = 1656 - 1500 = 156`

`:.` Profit is Rs `156`

C.P	Profit
1500	156
100	?

Profit = `156 × 100/1500 = 10.4`

`:.` the sales price of the table is Rs `1656` and the profit of carpenter is `10.4` %

Problem : 18 / 21 [ Profit Loss Discount ] Enter your problem
18. The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the book-seller gets 20 % profit. Find the purchase price for the book-seller.

Solution:

The printed price of a book is Rs `720`.

After giving `10` % discount to the customer on the printed price

S.P. = Printed price - discount `= 100 - 10 = 90`

Printed Price	S.P.
100	90
720	?

the book-seller gets `20` % profit,

S.P. = C.P. + Profit `= 100 + 20 = 120`

S.P.	C.P.
120	100
648	?

C.P. = `100 × 648/120 = 540`

The purchase price for the book seller is Rs `540`.

Problem : 19 / 21 [ Profit Loss Discount ] Enter your problem 19. If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then will there be profit or loss? What is the percentage?


Solution:	Decided price is `20` % profit on the purchase price Decided price = purchase price + profit `= 100 + 20 = 120` `20` % discount is given on the decided price Discount = `20` % of decided price = `20` % of `120 = 20/100 × 120 = 24` The discount is Rs `24` S.P. = decided price - discount `= 120 - 24 = 96` Loss = Purchase Price - Selling Price `= 100 - 96 = 4` Hence there will be `4` % Loss in this case.

Problem : 20 / 21 [ Profit Loss Discount ] Enter your problem
20. A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount on th printed price, the company has a profit of Rs 300 . Find the cost-price of a watch.

Solution:

A watch manufacturing company decided the price with `25` % profit on the cost price

Printed price = C.P. + profit `= 100 + 25 = 125`

By selling a watch with `8` % discount on th printed price

S.P. = C.P. - discount `= 100 - 8 = 92`

C.P.	S.P.
100	92
125	?

S.P. `= 92 × 125/100 = 115`

Profit = S.P. - C.P. `= 115 - 100 = 15`

Profit	C.P.
15	100
300	?

`C.P. = 100 × 300/15 = 2000`

`:.` the cost price is Rs `2000`.

Problem : 21 / 21 [ Profit Loss Discount ] Enter your problem
21. If the sales price of 12 pens is fixed as the original price of 15 pens, then what percentage of profit is earned in the deal ?

Solution:

Let the original price of `1` pen be Rs `1`

`:.` original price of `12` pen be Rs `12`

Also selling price of `12` pens = original price of `15` pens = Rs `15`

Profit `= "S.P." - "O.P." = 15 - 12 = 3`

Original Price	Profit
12	3
100	?

Profit `= 3 × 100/12 = 25`

`:.` the profit is `25` %

3. Percentage
(Previous method)

5. Simple Interest
(Next method)

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