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CP of 100 coconuts = Rs 150

∴ CP of 2000 coconuts = Rs 150 × 2000/100

= Rs 3000

? SP of 1 coconut = Rs 2

∴ SP of 2000 coconuts = Rs 2 × 2000

= Rs 4000

⇒ Profit = SP – CP

= 4000 – 3000

Let marked price be M.

The marked price of an ITEM is Rs. 40 more than the selling price. The cost price of this item is 5/8^th of marked price.

⇒ Selling price = M – 40

And, cost price = 5M/8

Profit percentage = 50%

Selling price = Cost Price × (1 + Profit Percentage/100)

⇒ M - 40 = 5M/8 × (1 + 50/100)

⇒ 8M – 320 = 7.5M

⇒ M = 320/0.5 = 640

We KNOW, Selling price = Marked price × (1 – DISCOUNT percentage/100)

⇒ 640 – 40 = 640 × (1 - Discount percentage/100)

⇒ Discount percentage = 100 × (1 – 600/640) = 6.25%

Let, x be the cost PRICE of the article

∴ PROFIT earned after SELLING the article for Rs. 2,154 is = Rs. (2154 – x)

Again,

 Loss incurred after selling the article for Rs. 1,692 is = Rs. (x – 1692)

 ACCORDING to the question,

 2154 – x = x – 1692

⇒ 2x = 3846

LET the cost price be x

Marked price of article = Rs. 2500

Price after FIRST discount = (85/100) × 2500 = Rs. 2125

Price paid by PURCHASER = (80/100) × 2125 = Rs. 1700

Profit = 10%

⇒ x + (10/100) × x = 1700

⇒ x = Rs. 1545.45

<P>P sold a pen each to Q and R at 10% and 20% PROFITS, respectively.

We know, Selling PRICE = Cost Price × (1 + Profit Percentage/100)

Cost price for S from Q = Cost price of P × (1 + 10/100) × (1 + 15/100) = 1.265 × cost price of P

For R to sell to S at same price, let profit percentage be T%.

⇒ Cost price of P × (1 + 20/100) × (1 + T/100) = 1.265 × cost price of P

⇒ T = 5.42

∴ Profit should be 5.42%.

Let B’s INITIAL investment be x.

∴ A’s initial investment is 5x.

5x + x = RS. 36,000

∴ x = Rs. 6,000

∴ 5x = Rs. 30,000

Ratio of their share in profit = Ratio of their investments

⇒ 30000 × 8 + 20000 × 4 ? 6000 × 12 ? 40000 × 4 = Rs. 1,60,000

Thus, ratio of their investments = 320000 ? 72000 ? 160000 = 40 ? 9 ? 20

Profit earned after a year = x

A’s share = 16000 = (40/69) × x

∴ x = Rs. 27,600

∴ C’s share = (20/69) × 27600 = 8000

∴ C’s share is Rs. 8,000.

Rahul’s part of investment ? Aniket’s part of investment = Rs. 6000 × 12 months ? Rs. 10000 × 8 months

∴ Rahul’s part of investment ? Aniket’s part of investment = 72000 ? 80000 = 9 : 10

∴ Profit of Rahul = (9/19) × 19000 = 9000 Rs.

Let the cost price be Rs. 100

Gain REQUIRED = 15% 

∴ Selling price = Rs. 115 

Let the MARKED price be Rs. X 

Then, discount = 20% of Rs. x

⇒ Rs. (x × 20/100) = Rs. x/5

∴ selling price = (Marked Price) - (discount) 

⇒ Rs. {x - (x/5)} = Rs. 4x/5

∴ 4x/5 = 115 

⇒ x = {115 × (5/4)} = 143.75 ≈ 144 

∴ Marked price = Rs. 144 

Hence, the marked price is 44% above cost price.

Let the C.P be X

⇒ x – (20% x) = 450

⇒ (80/100)x = 450

⇒ x = 562.5

As both receives EQUAL profits in the year. It means that their capital RATIO is 1 ? 1

Let A’s 3^rd INVESTMENT is used for x months

Capital of A?

(1000 × 12) + (1500 × 9) + (2000 × x) + (4 × 2500)

⇒ 12000 + 13500 + 2000x + 10000

⇒ 35500 + 2000x

Capital of B?

(1500 × 12) + (1500 × 9) + (1500 × 6) + (1500 × 3) + (500 × 1)

⇒ 18000 + 13500 + 9000 + 4500 + 500

⇒ Rs. 45500

According to the question,

35500 + 2000x = 45500

⇒ 2000x = 45500 – 35500

⇒ 2000x = 10000

⇒ x = 10000/2000

⇒ x = 5

3^rd investment of A is being used for 5 months

It means that A has made his 3^rd investment after 7 months i.e. 12 – 5

B has made his 3^rd investment at the beginning of 3^rd quarter i.e. after 6 months

If the MERCHANT offers a discount of 40% on the marked PRICE, then the goods are sold at 60% of the marked price.

∴ selling @ 40% discount = 60% of marked price (M) = COST price (C).

⇒ (60/100) × M = C

∴ M = (100/60) × C = 1.666667 × C

From given data-

Three partners Sunil, Anil & Anita invested Rs. 20000, Rs. 30000 & Rs. 10000 respectively.

∴ their RATIO of invested amount is 20000 ? 30000 ? 10000

∴ their ratio of invested amount = 2 ? 3 ? 1

∴ Partners will receive Rs. 10000 profit in the ratio of 2 ? 3 ? 1

Let the common multiplication CONSTANT be X.

∴ Sunil, Anil & Anita will receive profit as 2X, 3X & X respectively.

For Anita-

She will receive X parts of profit from 6X parts.

Initial marked price of SHIRT is Rs. 1000

First discount = 15%

New selling price = Rs. 850

Successive discount = 25%

Let the cost PRICE of ONE orange = c

∴ Cost price of 8 oranges = 8c

Given,

Selling price of 8 oranges = cost price of 9 oranges = 9c

PROFIT % = $(\FRAC{{selling\;price\;-\;cost\;price}}{{cost\;price}}\; \times \;100\;\% )$

⇒Profit% $(= \frac{{9c\;-\;8c}}{{8c}} \times 100\;\% )$

<P>After 6 months, P doubled his investment.

⇒ P invested Rs. 3500 for 6 months and Rs. 7000 for other 6 months.

Q and R invested for only 4 months of the year.

The ratio of PROFITS of P, Q, R and S

= (6 × 3500 + 6 × 7000) : (4 × 3500) : (4 × 3500) : (12 × 3500)

= 9 : 2 : 2 : 6

Q got a profit of Rs. 200.

Let the marked price be Rs. X.

Sell Price = Marked Price (1 − Discount %)

Selling Price in Plan 1 = (1 - 0.15) × (1 - 0.20) × x = 0.68x

Selling Price in Plan 2 = (1 - 0.14) × (1 - 0.21) × x = 0.6794x

Selling Price in Plan 3 = (1 - 0.10) × (1 - 0.25) × x = 0.675x

LET the INCREASED CP be X

(x + 20/100 × x) = 30

⇒ x = Rs. 25

Let the cost price of each article be x

Total cost price of 200 article = 200x

When all of the ARTICLES are sold at a PROFIT of 20%,

The profit = 20% of 200x = 40x

Further, According to the given INFORMATION, the Whole-seller sells half of 200 articles at a profit of 30% and the rest at a profit of 25%

∴ He sells 100 articles at 30% profit and 100 articles at 25% profit

Thus, total profit = (30% of 100X) + (25% of 100x) = 30x + 25x = 55x

? The difference of these two profits is 150

∴ 55x – 40x = 150

15x = 150

x = 10

INITIAL investment by man A, B and C are 20000 : 16000 : 28000

Share of man A in 12 MONTHS = 20000 × 12 = 240000

Share of man B in 12 months = 16000 × 2 + 12000 × 10 = 152000

Share of man C in 12 months = 28000 × 2 + 20000 × 10 = 256000

A : B : C = 240000 : 152000 : 256000 = 30 : 19 : 32

From the GIVEN DATA, we get

Let x be the cost PRICE of a refrigerator

Given that 20% DISCOUNT the selling price of a refrigerator is Rs.24,000

⇒ x – 20x/100 = 24,000

⇒ 80x/100 = 24,000

⇒ x = Rs. 30,000

If the discount is 30%, we get

∴ Selling price = 30,000 – (30/100 × 30000) = 30,000 – 9,000 = Rs. 21,000

LET, T’s investment be Rs. x

Profit sharing RATIO between R, S and T at the END of 1st year

⇒ [40000 × 4 + (40000 + x/2) × 8] : [60000 × 12] : [x × 4]

⇒ [480000 + 4x] : 720000 : 4x

S’s share = 720000/(480000 + 4x + 720000 + 4x) × 9200 = 3600

Let, the cost price of the article = 100A

∴ Marked price of the article = 100A + 100A × 60/100 = 160A

∴ Selling price of the article = 160A – 160A × 25/100 = 120A

∴ OVERALL gain = 120A – 100A = 20A

∴ Gain PERCENTAGE = 20A/100A × 100% = 20%

Let the cost PRICE of the goods to be Rs. 100

He had initially marked his goods up by 40%.

∴ After40% mark-up,

⇒ MP = Rs. 100 + 40% of Rs. 100

⇒ Rs.100 + Rs. 40 = Rs. 140

So,He OFFERS a discount of Rs. 40 on his MP of Rs. 140

∴ The % discount offered by him = (Discount)/(Marked Price) × 100

⇒ (40/140) × 100 = 28.5%

∴ The % discount offered by him is 28.5%

Weight of ONIONS bought by customer = 1 kg

Actual weight of onions received by customer = 750 g = 0.75 kg

PRICE paid by the customer = Rs. 30

Actual price of 0.75 kg = 0.75 × 20 = Rs. 15

∴ Money earned by the shopkeeper = 30 – 15 = Rs. 15

∴ PROFIT percentage = (15/15) × 100 = 100%

Quantity A:

Let the cost price of 10% loss ITEM be Rs.a and cost price of 15% gain item be Rs.b.

Selling price of both items = Rs. 450

Loss % = 10%

a = (450/0.9) × 100

a = 500

Cost price of item is Rs. 500 which is sold at 10% loss.

Gain = 20%

b = (450/1.2) × 100

b = 375

Cost price of second item is Rs. 375 which is sold at 20% gain.

Total cost price of both items = 500 + 375 = 875

Total selling price including both items = 900

Total profit = 900 – 875 = 25

Quantity B:

MARKED price of TV = Rs. 60000

Price of TV after 5% discount =

= 60000 – 60000 × 5/100

= 60000 – 3000

= 57000

He sold TV at 2% profit.

2 = [(SP – 60000)/60000] × 100

600 × 2 = SP – 60000

1200 = SP – 60000

SP = 61200

He sold TV at Rs.61200 and he buy TV at Rs. 57000

Total profit amount = 61200 – 57000

= .4200

He got profit of Rs. 4200.

From above solution,

As PER the details given in question,

Let ASSUME initial marked price = Rs. x

Increased in Marked price = 30%

Decreased in marked price = 30%

At last marked price = Rs. 540

INCREMENT made = x + 30% of x = x + 0.3x = 1.3x

DECREMENT made = (x - 30% of x) × 1.3 = (x - 0.3x) × 1.3 = 0.91x [? Decrement had the affect of increment]

Final price = Rs. 540.54;

Initial price = 0.91x = Rs. 540.54

⇒ x = 540.54/0.91 = Rs. 594

∴ Initial price = Rs. 594

Let the marked price of the ARTICLE be = MP = Rs. x

Step 1: CALCULATING SELLING price after first discount

First discount = D₁ = 10% of MP = 10% of x

Selling price = SP₁ = MP –Discount

SP₁ = x –10% of x = $(\frac{9}{{10}})$ x

Step 2: Calculating selling price after SECOND discount

Second discount = D₂ = 5% of SP₁ = 5% of $(\frac{9}{{10}})$ x

Selling price = SP₂ = SP₁ –D₂

SP₂ = $(\frac{9}{{10}})$ x - 5% of $(\frac{9}{{10}})$ x

⇒ SP₂ = $(\frac{{95}}{{100}})$ × $(\frac{9}{{10}})$ x

⇒ 513 = $(\frac{{95}}{{100}})$ × $(\frac{9}{{10}})$ x(? Article was finally sold at Rs. 513)

⇒ x = 513 × $(\frac{{100}}{{95}})$ × $(\frac{{10}}{9})$

⇒ x = Rs. 600 or MP = Rs. 600

GIVEN, printed price of a book is Rs. 480.

First DISCOUNT % = 10%

SELLING price after 1^st discount = 480 – 10% of 480

⇒ Selling price after 1^st discount = Rs. 432

Let the 2^nd discount% be d.

Selling price after 2^nd discount = 432 – d% of 432

Given, final selling price = Rs. 367.20

⇒ 432 – d% of 432 = 367.2

⇒ 64.8 = d% of 432

Total cigars = 15 × 4 = 60

Actual price of cigars = 15 × 600 = Rs. 9,000

Money earned by SELLING all the cigars = 60 × 200 = Rs. 12,000

Profit earned = 12000 – 9000 = Rs. 3000

COST price of Book = Rs. 800

Profit earned = 5%

We KNOW, Selling Price = Cost Price × (1 + (Profit Percentage)/100)

⇒ Selling price = $(800 \times \;\left( {1 + \;\frac{5}{{100}}} \RIGHT))$

⇒ Selling price = 800 × 1.05 = 840

Suppose the marked price of book is M.

We know, Selling Price = Marked Price × (1 – (Discount Percentage)/100)

So, $(840 = M \times \;\left( {1 - \;\frac{{30}}{{100}}} \right))$

⇒ 840 = 0.7 M

⇒ M = 840/0.7 = 1200

∴ Marked price of book is Rs. 1200.

⇒ Here, true measure = 1000 gms

⇒ False measure = 950 gms

Since the shopkeeper SELLS the goods at cost price

⇒ x = 0

⇒ overall gain % is GIVEN by,

⇒ True measure/ Faulty measure = (100 + G)/ (100 + x)

⇒ 1000/ 950 = (1000 × g)/ 950

⇒ 100 + g = (1000 × 100)/ 950

$( \Rightarrow {\rm{g}} = 5\frac{5}{{19}}\%)$

Let the cost price of an ARTICLE be RS. x.

For 48% profit, sell price = cost price (1 + profit %) = Rs. x (1 + 0.48) = Rs. 1.48x

But this sell price is obtained after 60% discount on Marked Price.

Sell Price = Marked Price (1 − Discount %)

⇒ 1.48x = Marked Price (1 − 0.60)

⇒ Marked Price = $(\frac{{1.48x}}{{0.4}}\; = \;3.7x)$

Let the cost price of pony be RS. x

∴ Cost price of the horse = Rs. (2500 – x)

Profit on pony = 15%

⇒ GAIN = (15 × x)/100 = Rs. 3x/20

Profit on horse = 25%

∴ Profit = [(2500 – x) × 25]/100 = Rs. (2500 – x)/4

Total profit = Rs. 500

∴ 3x/20 + (2500 – x)/4 = 500

⇒ 3x + [5 × (2500 – x)] = 500 × 20

⇒ 3x + 12500 – 5x = 10000

⇒ 2x = 2500

⇒ x = 1250

LET the cost price at which A bought be x.

A sold it to B with a loss of 15%

∴ SP1 = 85x/100

B sold it to C at a no PROFIT or loss

∴ SP2 = SP1 = 408

408 = 85x/100

∴ x = Rs. 480

To get a profit of 36% A should sell at a price = (136/100) × 480 = Rs. 652.8

QUANTITY A:$

LET the purchase PRICE of phone = Rs. x

⇒ CURRENT price = x × 80% × 80%

⇒ 12000/(0.8 × 0.8) = x

⇒ x = Rs. 18,750

Quantity B: 10000

∴ Quantity A > Quantity B

Let the C.P. of ARTICLE be Rs. x.

When the article is sold at 20% gain, S.P. = x + (20% of x) = 1.2x

Had he bought the product for Rs.225 less, the cost price = x – 225

∴ when he sells the article at the same price as before,

% gain $(= \frac{{S.P. - C.P.}}{{C.P.}} \times 100)$

⇒ 50 $(= \frac{{1.2x - \left( {x - 225} \right)}}{{x - 225}} \times 100)$

⇒ 50 (x – 225) = 100 (0.2x + 225)

⇒ 50X – 11250 = 20x + 22500

⇒ 30x = 33750

⇒ x = 33750/30 = 1125

Let the original PRICE be x

New price of SOAP = x + (25/100) × x = 125x/100 = 1.25x

Price after first discount = (90/100) × (125x/100) = 1.125x

Price PAID by PURCHASER = (90/100) × 1.125x = 1.0125x

Profit of shopkeeper = 1.0125x – x = 0.0125x

∴ Profit% = (0.0125x)/x × 100 = 1.25%

Marked Price of Car = Rs. 300000

After SUCCESSIVE discounts of 10% and 7.5%,

SELL Price = Rs. 300000 × (0.9) × 0.925 = Rs. 249750

Cost price for the person = Rs. 249750

∴ Sell price for the person = Rs. 254745

Profit = Rs. (254745 - 249750) = Rs. 4995

$(\therefore {\RM{Profit\% }} = {\rm{}}\frac{{4995}}{{249750}} \TIMES 100 = 2\% )$

Given,

PROFIT after A sold pen = Rs. 60

Let the A's cost price of a pen be Rs. a.

Purchased price of B = selling price of B = Rs. (60 + a)

Given,

B increased its MARKED price by 50%

New marked price of pen = (60 + a) + (60 + a) × 50/100

= 60 + a + 30 + a/2

= 90 + 3a/2

Given,

B sold pen to C at 25% discount.

Selling price of B

= (90 + 3a/2) - (90 + 3a/2) × 25/100

= (360 + 6a - 90 - 3a/2)/4

= (270 + 9A/2)/4

B had Rs. 10 more profit than A.

Profit amount for B = 60 + 10 = 70

Then,

⇒ 70 = (270 + 9a/2)/4 - (60 + a)

⇒ 280 = 270 + 9a/2 - 240 - 4a

⇒ 560 = 540 + 9a - 480 - 8a

⇒ a = 500

Let the Cost price be Rs. x

? the article is sold at 14% PROFIT,

Selling price = x + (14% of x) = 1.14x

Now, in the second case, the article was bought at 14% lesser value than the previous value

∴ Cost price in second case = x – (14% of x) = 0.86x

In the second case, the article was sold at a price Rs. 1424 LESS than the previous selling price.

∴ Selling price in second case = 1.14x – 1424

Now, Gain in the second case = (1.14x – 1424) – 0.86x

∴ % gain $(= \frac{{\LEFT( {1.14x - 1424} \right) - 0.86x}}{{0.86x}} \times 100)$

⇒ $(16\; = \frac{{\left( {1.14x - 1424} \right) - 0.86x}}{{0.86x}} \times 100)$

⇒ 16 × 0.86x = 100 × (0.28X – 1424)

⇒ 13.76x = 28x – 142400

⇒ 14.24x = 142400

⇒ x = 10000

SAY P% is the rate of profit per month.

All three INVESTED for 6 months and after that, only Kamal and Vinay invested for remaining two months.

⇒ Profit share of Arun = 6 × (P% of 8000) = 480P

Profit share of Kamal = 8 × (P% of 4000) = 320P

Profit share of Vinay = 8 × (P% of 8000) = 640P

Total profit by all three in 8 months = 480P + 320P + 640P = 1440P

Given total profit = Rs.4005 ⇒ 1440P = 4005

⇒ P = 4005/1440

We know that,

% Profit = (S.P. - C.P)/(C.P.) × 100

⇒ Profit% = (3300 – 3200/3200 × 100

⇒ Profit% = 100/3200 × 100 = 3.125%

Let the cost price of fruit be Rs. X.

∴ Sell Price = Rs. 1.21x

If he had bought it at 9% LESS price, Cost Price = 0.91x

If he would have sold at Rs. 29 less, Sell Price = Rs. (1.21x − 29)

Profit = Sell Price − Cost Price = Rs. (0.3x − 29)

$({\rm{Profit\% \;}} = {\rm{\;}}\frac{{Profit}}{{Cost\;Price}}\; \times \;100)$

⇒ $(25{\rm{\;}} = {\rm{\;}}\frac{{0.3x\; - \;29}}{{0.91x}}\; \times \;100)$

⇒ 0.25 × 0.91x = 0.3x - 29

⇒ 0.3x − 0.2275x = 29

∴ x = 400

Quantity A:

Let the Cost price of GOODS be Rs.100.

Given,

A shopkeeper sets his goods price at 30% above the cost price

Then it’s marked price set by shopkeeper is Rs.130.

After this he is OFFERING 10% DISCOUNT for cashless payments,

SELLING price after discount is =

= 130 – 130 × 10/100

= 130 – 13

= 117

Selling price of goods after discount = Rs.117

Profit percentage he had in this transaction =

= ((SP – CP)/CP) × 100

= ((117 – 100)/100) × 100

= 17

Profit percentage he had is 17%.

Quantity B:

Given,

weight balance counts 940g instead of 1000kg

Let for 1 kg weight cost price is Rs.100

That is due to faulty weight balance,

He sells goods of Rs.94 at price of goods 1kg.

Gain he had = 100 – 94 = 6

Percentage profit he had =

= (6/94) × 100

= 6.38%

Due to faulty weight balance shopkeeper had 6.38% profit.

From above solution,

Let the COST price at which A BOUGHT be x.

A sold it to B with a loss of 18%

∴ SP1 = 82x/100

B sold it to C at a profit of 30%

∴ SP2 = 130 SP1/100 = 12792

12792 = (82x/100) × (130/100)

∴ x = Rs. 12,000

To get a profit of 15% A should sell at a price = (115/100) × 12000 = Rs. 13800

Let the COST PRICE be Rs. T.

Loss is 20%.

We know, Selling Price = Cost Price × (1 – (Loss %)/100)

⇒ Selling price = T × (1 – 20/100) = 0.8T

Also, In case of successive discounts, Selling Price = MARKED Price × (1 – Discount1/100) × (1 – Discount2/100) …….

⇒ 0.8T = 1300 × (1 – 30/100) × (1 – 20/100) × (1 – 10/100)

= 1300 × 0.7 × 0.8 × 0.9 = 655.2

⇒ T = 655.2/0.8 = 819

Quantity A:

The cost price of products = Rs.300

GAIN % = 20%

Selling price = Rs.360

Let marked price be Rs.a.

Discount is 10% on marked price.

90% of a = 360

a = (360 × 100)/90

a = 3600/9

a = 400

The marked price of product is Rs.400

Quantity B:

Ram has 30 storybooks.

Some sold at 2% profit and some at 6%.

In whole transaction he had 4% profit.

The cost price of a storybook is Rs.120

Gain % = 4%

Cost price of 30 storybooks = 30 × 120 = 3600

Gain % = [(SP – CP)/ CP] × 100

All Gain percentage are given,

(Number of books sold at 2%)/(number of books sold at 6%) = (6 – 4)/(4 – 2) = 2/2 = 1/1

Number of books sold at 2% = number of books sold at 6% = 30/2 = 15

Cost price of 15 books = 15 × 120 = 1800

Selling price of 15 books at 6% =

= [(100 + 6)/100] × 1800

= 1908

Profit amount of 15 books with 6% gain =

= 1908 – 1800

= 108

From above solution,

LET the LIST price of a watch be Rs. m.

Cost price of a watch = Rs. 450

Discount percentage = 10%

Selling price of a watch = m – m × 10/100 = 9m/10

Profit percentage = 20%

Profit percentage = [(S.P – C.P)/C.P] × 100

⇒ 20 = [(9m/10 – 450)/450] × 100

⇒ 90 = 9m/10 – 450

⇒ 9m/10 = 540

⇒ m = 600

Let Airtel had invested Rs. x THOUSAND crores for seven months.

Ratio of time invested by Nokia to Airtel = 12 ? 7.

Ratio of MONEY invested by Nokia to Airtel = 735 ? x

Ratio of REVENUES = $(\frac{{12 \TIMES 735}}{{7 \times x}} = \frac{7}{5})$

$(\Rightarrow x = \frac{{12 \times 735 \times 5}}{{7 \times 7}} = 12 \times 15 \times 5 = 900)$

∴ AMOUNT contributed by Airtel = Rs. 900 thousand crores