Profit and Loss - 05

Explanation:-

According to the question,
Selling price = Rs. 144
Cost price is equal to percentage of profit.
Note : In this type of question go through option.
Option = B
Cost price = Rs. 80
Profit % = 80%
Selling price $$\eqalign{ & = 80 + \frac{{80}}{{100}} \times 80 \cr & = {\text{Rs}}{\text{.144(Satisfied)}} \cr}$$

Explanation:-

Original C.P. of the product = Rs. 8.
Original manufacturing cost $$\eqalign{ & = {\text{Rs}}.\left( {\frac{3}{4} \times 8} \right) \cr & = {\text{Rs}}{\text{. }}6 \cr}$$ Original cost of raw material $$\eqalign{ & = {\text{Rs}}.\left( {8 - 6} \right) \cr & = {\text{Rs}}{\text{. }}2 \cr}$$ New manufacturing cost $$\eqalign{ & = {\text{Rs}}.\left( {\frac{5}{3} \times 6} \right) \cr & = {\text{Rs}}{\text{. }}10 \cr}$$ New cost of raw material $$\eqalign{ & = {\text{Rs}}.\left( {\frac{{12}}{5} \times 2} \right) \cr & = {\text{Rs}}{\text{. }}\frac{{24}}{5}. \cr}$$ New S.P. of the product $$\eqalign{ & = {\text{Rs}}.\left( {10 + \frac{{24}}{5}} \right) \cr & = {\text{Rs}}{\text{. }}\frac{{74}}{5}. \cr}$$ $$\eqalign{ & \therefore {\text{Desired S}}{\text{.P}}{\text{.}} \cr & = 125\% {\text{ of Rs}}.\frac{{74}}{5} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{125}}{{100}} \times \frac{{74}}{5}} \right) \cr & = {\text{Rs}}.18.50. \cr}$$

Explanation:-

Let the total initial cost of production be Rs. 100
Then,
manufacturing cost = Rs. 60.
Cost of raw materials = Rs. 40.
Original Selling Price $$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {100 + \frac{{60}}{4}} \right) \cr & = {\text{Rs}}{\text{. }}115 \cr}$$ New cost of raw materials = 130% of Rs. 40 = Rs. 52
New Manufacturing cost = 120% of Rs. 60 = Rs. 72
New cost of the product = Rs. (52 + 72) = Rs. 124
New S.P. = 160% of Rs. 115 $$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{160}}{{100}} \times 115} \right) \cr & = {\text{Rs}}{\text{. }}184 \cr}$$ New profit = Rs. (184 - 124) = Rs. 60 $$\eqalign{ & \therefore {\text{New profit }}\% \cr & = \left( {\frac{{60}}{{124}} \times 100} \right)\% \cr & = 48.39\% . \cr}$$

Explanation:-

According to the question,
Cost price = Rs. 840
10% Profit on cost price $$\eqalign{ & = \frac{{10}}{{100}} \times 840 \cr & = {\text{Rs}}{\text{. }}84 \cr & \therefore {\text{Selling price}} \cr & = 840 + 84 \cr & = {\text{Rs}}{\text{. 924}} \cr}$$ New buyer cost price $$= {\text{Rs}}{\text{. 924}}$$ 5% loss on Cost price $$\eqalign{ & = \frac{5}{{100}} \times 924 \cr & = {\text{Rs}}{\text{. }}46.2 \cr & {\text{Selling price}} \cr & = {\text{Rs}}{\text{. 924}} - 46.2 \cr & = {\text{Rs}}{\text{. }}877.80 \cr}$$

Explanation:-

Let the selling price of 1 meter cloth = Rs. 1
The Selling price of 33 meters cloth
= 1 × 33 = Rs. 33
Cost of 1 meter cloth = Rs. x
Cost price 33 meters cloth = x × 33 = Rs. 33
According to the question,
Profit = Selling price - Cost price $$\eqalign{ & \Rightarrow 11 = 33 - 33x \cr & \Rightarrow 33x = 22 \cr & \Rightarrow x = \frac{{22}}{{33}} = \frac{2}{3} \cr}$$ Cost price of 1 meter cloth $$= {\text{Rs}}{\text{.}}\frac{2}{3}$$ $${\text{Cost price of 33 meters cloth}}$$ $$\eqalign{ & = \frac{2}{3} \times 33 \cr & = {\text{Rs}}.22 \cr}$$ Selling price of 33 meters cloth = Rs. 33
Profit = Selling price - Cost price
= 33 - 22
= 11 $$\eqalign{ & {\text{Profit}}\% \cr & = \frac{{11}}{{22}} \times 100 \cr & = 50\% \cr}$$

Explanation:-

Let the total sales be Rs. x and let the profit in women's shirts average y% of the sales.
Then,
= 8% of 40% of x + y% of 60% of x = 6% of x $$\eqalign{ & \Rightarrow \frac{8}{{100}} \times \frac{{40}}{{100}} \times x + \frac{y}{{100}} \times \frac{{60}}{{100}} \times x = \frac{6}{{100}} \times x \cr & \Rightarrow \frac{{32}}{{10}} + \frac{{6y}}{{10}} = 6 \cr & \Rightarrow \frac{{6y}}{{10}} = \frac{{28}}{{10}} \cr & \Rightarrow y = \frac{{28}}{6} = 4.66 \cr}$$ ∴ Average profit per sales rupee in women's shirt $$\eqalign{ & = 4.66\% {\text{ of Rs}}.1 \cr & = {\text{Rs}}.\left( {\frac{{4.66}}{{100}}} \right) \cr & = {\text{Rs}}{\text{. }}0.0466. \cr}$$

Explanation:-

Let the original cost of the toy be Rs. 100.
Then,
Original cost of component A
= 10% of Rs. 100
= Rs. 10.
Original cost of component B
= 20% of Rs. 100
= Rs. 20.
Original S.P. of the toy
= 120% of Rs. 100
= Rs. 120.
New cost of component A
= 120% of Rs. 10
= Rs. 12.
New cost of component B
= 140% of Rs. 20
= Rs. 28.
New price of the toy
= Rs. [100 + (12 + 28) - (10 + 20)]
= Rs. 110.
New S.P. of the toy
= 115% of Rs. 120
= Rs. 138
Profit = Rs. ( 138 - 110) = Rs. 28. $$\eqalign{ & \therefore {\text{Profit }}\% = \left( {\frac{{28}}{{110}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 25.45\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 25.5\% . \cr}$$

Explanation:-

According to the question,
Let cost price of 1 ball is = Rs. x
∴ Cost price - Selling price = Loss
17x - 720 = 5x
12x = 720
⇒ x = 60
∴ Cost price of 1 ball is Rs. 60

Explanation:-

According to the question,
Cost price of mixture of rice
= 15 × 29 + 25 × 20
= 435 + 500
= Rs. 935
Selling price of 1 kg mixture of rice = Rs. 27
Selling price of 40 kg mixture of rice
= 27 × 40 = Rs. 1080.
Profit = Selling price - Cost price
= 1080 - 935
= Rs. 145

Explanation:-

C.P. = Cost Price.
Let the C.P. of the watches be Rs. x and Rs. (840 - x)
∴ (116% of x) + [88% of (840 - x)] = 840
⇒ 116x + 73920 - 88x = 84000
⇒ 28x = 10080
⇒ x = 360
∴ Their cost prices are Rs. 360 and Rs. 480