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75301.

number has two digits. The units digit is 4-time theten's digit. If the difference between the number andthe number obtained by reversing the digits is 54, Findthe original number.

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75302.

wil =1z (1)

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75303.

(i)(ii)30% of 200 + 207010% of 450-12% of䚏500 + 8% of䚏500.

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10% of 450 - 12% of 500 + 8% of 500 = 10×450/100 - 12×500/100 + 8×500/100 = 45 - 60 + 40 = 85 - 60 = 25

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75304.

surface area of the cylindrical vessel.is 4312 cm2, find(e) the height (b) the radius () the lateral surface area.12. The radius of base of a cylinder is twice the height of the cylinder. If the volume of the cylinderi Thi area of the base of a right circular cylinder is 1386 cm2 and its height is 14 cm. Find its

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75305.

8 Ruchi and Sindhu went shopping. Sindhu had twice the amount of money as Ruchi.Ruchi shopped for utilities worth 60 and Sindhu spent 210,.Now both of them havethe same amount of money left. How much money did each one have at the beginning?9 The lenath of

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Let Ruchi have money = nThen money Sindhu have = 2n

According to the given conditionn - 60 = 2n - 2102n - n = 210 - 60n = 150

Money Ruchi have at the beginning = Rs 150Money Sindhu have at the beginning = Rs 300

75306.

22. 1/5th of the Ram's money is equal to 1/4th of the Shyam's money. If Ramhas1000 more than Shyam has, find the amount with Ram.

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75307.

< Bueldf श्र 2 S Ip VDL A R e

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75308.

|DATE :1 1e vd

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we have identity cos (A-B)=cosA cosB +sinA sinBsosin3A sinA+cos3A cosA=cos (3A-A)=cos2Atherefore, sin3A sinA+cos3A cosA+2sin^2 A=cos2A+2sin^2 A=1-2sin^2 A+2sin^2 A....... (using cos2A=1-2sin^2 A)=1

75309.

3. How many kilograms of sugar worth 3.60 per kgshould be mixed with 8 kg of sugar worth 4.20per kg, such that by selling the mixture at 4.40 –per kg, there may be a gain of 10%?

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75310.

be left ungrazed? { lake π = 314.126. In the given figure, OPQR is a rhombus, three ofwhose vertices lie on a circle with centre O. If thearea of the thombus is 32/3 cm, find the radiusof the circle.

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75311.

height t0 cmind thi no of Hiles

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Number of tiles = Area of floor/ Area of a tile= (1080*100*100)/(24*10)= 45000.

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75312.

is:I ICP.=500, S.P. = +620, then profitthi

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75313.

In what ratio must a grocer mix twovarieties of tea worth 60 perkg and65 per kg so that selling of mixtureat 68.20 per kg he may gain 10% ?

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Gain of 10%=110x/100, if x is the averageSo68.20=110x100.........x=682/1168.20=62

STEP II : Use weighted average method to find the ratio60....62........65So 60:65=65−62/62−60=3/2=3:2

75314.

21. Ranjana's mother gave her245 for buying New Year cards, If she got some 10nupee cards,as many5-rupee cards, andas many 15-rupee cards, how many of each kind did she buy?enrolment. How22. The enrolment in a school this year is 552, This is an increase of 15% over last year'smany were enrolled last year?

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This years enrolment = (last year's enrolment + 15/100 of last years' enrolment) 552 = 115/ 100 * last years' enrolment

last year's enrolment = 55200/115 = 480 students.

75315.

orm speed of 75 km/hr. How much distance will(d) 300d)DUdistance will it4. A car is travelling at a uniform20 minutes?(a) 25 km(b) 15 km(c) 30 kmat of 12 sheets of a thick nanerine(d) 20 km

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75316.

Hence, ui e0. 2. The 4th term of an A.P. is zero. Prove that the 25th term of the A.P. isthree times its 11th term.[CBSE 2016]d ha the first term and common difference of givenA.P

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75317.

7. The sum of three numbers in A.P. is 12 and the sum of their cubes is 288. Find the[CBSE 2016numbers.

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75318.

A grocer bought sugar worth of 4500. He sold one-third of it at a gain of 10%. At what gainper cent must the remaining sugar be sold to have a gain of 12% on the whole?34,

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rest suger is sold in 13 percent profit

1+2 =3total par 3×12%=36%1part par 1×10%=10%

He must sold the remaining Suger at 13% gain so as to get 12% on taotal

he must be sell there 2/3 to 13% profit...

rest suger is sold 13% profit

1+2 =3 total par 3× 12%=36%1part par 1×10%=10%

rs 45001/3 of total sugar =1/3*4500=150010% of 1500= xso, x% of 3000 = 3390-3000

Therefore,he must sold the remaining sugar at 13% gain so as to get 12% gain on total sugar

rest suger is sold in 13 percent profit

this question is right answer 13 precent

rest Suger is solid in13%

cp of sugar =4500. without profit one third of the gain =10%. cp on one third of the sugar -Rs=4500÷3=Rs 1500Rupisj

CPof sugar = Rs 4500Profit on one-third of the sugar = 10%

CP of one-third of the sugar = Rs45003=Rs.150045003=Rs.1500

SPofone−thirdofthesugar=100+gain%100×CP=Rs110100×1500=Rs1650SPofone-thirdofthesugar=100+gain%100×CP=Rs110100×1500=Rs1650

Now, profit= Rs1650−15001650−1500= Rs 150

At a profit of 12%, we have:SPofsugar=100+gain%100×CP=Rs112100×4500=Rs5040SPofsugar=100+gain%100×CP=Rs112100×4500=Rs5040

∴ Gain= Rs5040−45005040−4500= Rs 5400

Profit on the remaining amount of sugar = Rs540−150540−150= Rs 390CP of the remaining sugar = Rs4500−15004500−1500= Rs 3000

Gainpercentage=(gainCP×100)%=(3903000×100)%=13%Gainpercentage=gainCP×100%=3903000×100%=13%

Therefore, the profit on the remaining amount of sugar is 13%.

1+2=3total par 3×12%=36%1part par 1×10%=10%

the remaining sugar will be sold at 13%profit

13%rest sugar profit in this grocer

a grace bought 300 PC's but don't mind they can you solve these problem

The remaining sugar must be sold to have a gain of 12 per cent on the whole at 13 per cent

he must sold tha remaining sugar at 13%gain so as to get 12% gain total

this question is Right answer 13% sugar

I did not understand

13

13% is the profit...........

rest sugar is sold in 13 percent profit

1+2=3total per 3×12%=36%1part per 1×10%=10%

13% remaining sugar sold

RS 3000gain percentage =13%

75319.

13. If the area of an equilateral triangle is 81/3 cm 2, find its hei

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Area of a equilateral triangle=√3a^2/4or 81√3=√3a^2/4or a^2=81√3×4/√3or a=√81×4.•.a=18

then, height of equilateral triangle=√3a/2=18√3/2=9√3 answer

75320.

34. A grocer bought sugar worth of 4500. He sold one-third of it at a gain of 10%. At what gainper cent must the remaining sugar be sold to have a gain of 12% on the whole?

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75321.

Exerciseі0.2Very Short Answer Type QuestionsIn each of the following, one of three trigonometric ratios is given. Find the other tworatios:121. sin 015453. cos C-4. tan A- 3

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75322.

1.U0To4. Three horses are tethered with 7 meter long ropes at the three coof a triangle field having sides 20m, 34m and 42 cm. Find the areaofplot which can be grazed by the horses. Also find the area of the ploremains ungrazed2019.01.OR

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75323.

47. Prove that:cos A1+ tan Asin A-=cos A-sin A.1+cotA[CBSE 2016]

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75324.

The median of a triangle joins the vertex to theof the opposite side.midpointVertexmidsegmentangle

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the median of a triangle joins to the vertex to the midpoint of the opposite side

75325.

If l a l = 3, | b | = 4 and la-bi=5then what is the value of | a + b |?(a) 8(b) 6(c) 5v2(d) 5

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| a-b| = √a²+b²-2abcos∅ = 5

=> 9+16 -2*3*4cos∅ = 25=> cos∅ = 0

so, |a+b| = √a²+b² +2abcos(90) = √25 = 5

75326.

A farmer bought two cows for乏15,000 eachHe sold one at a gain of 6% and on the otherhe incurred a loss of 5%. Find the overallgain or loss %

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Overall gain = (6/100)×(15000) - (5/100)×(15000)= 900 - 750.= ₹150.

please give percentage

75327.

2. A cylindrical container having diameter16cm and height-40cmTsTui-of-ice.cream. The ice-cream is to be filled intocones of height 12 cm and diameter 4 chaving a hemispherical shape on the top.Find the number of such cones which canbe filled with the ice-cream.radiheiVolta

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For right circular cylinder

Diameter = 12 cm

Radius(R1) = 12/2= 6 cm & height (h1) = 15 cm

Volume of Cylindrical ice-cream container= πr1²h1= 22/7 × 6× 6× 15= 11880/7 cm³

Volume of Cylindrical ice-cream container=11880/7 cm³

For cone,

Diameter = 6 cm

Radius(r2) =6/2 = 3 cm & height (h2) = 12 cmRadius of hemisphere = radius of cone= 3 cm

Volume of cone full of ice-cream= volume of cone + volume of hemisphere

= ⅓ πr2²h2 + ⅔ πr2³= ⅓ π ( r2²h2 + 2r2³)

= ⅓ × 22/7 (3²× 12 + 2× 3³)

= ⅓ × 22/7 ( 9 ×12 + 2 × 27)

= 22/21 ( 108 +54)

= 22/21(162)

= (22×54)/7

= 1188/7 cm³

Let n be the number of cones full of ice cream.

Volume of Cylindrical ice-cream container =n × Volume of one cone full with ice cream

11880/7 = n × 1188/7

11880 = n × 1188

n = 11880/1188= 10

n = 10

Hence, the required Number of cones = 10

75328.

7. The sale receipt of a company w6709570. What was the total sale receipt of the company8. The total population of a city is 28756304. If the number of males is 16987059, find thenumber of females in the city.

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75329.

13, A farmer purchased a piece of land for Rs 1,50,000. He sold one third of it at a loss of 6%. Atwhat gain per cent should he sell the remaining piece ofland in order to gain 10% on the wholeland.

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CP=15000010% profitso SP should be 165000one third sold at loss of 6%so SP=50000*0.94=47000so remianing S0=118000so remaining have to sell at 18%

75330.

13. A farmer purchased a piece of land for Rs 1,50,000. He sold one third of it at a loss of 6%.what gain per cent should he sell the remaining piece oland in order to gain 10% on the wholeland.

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CP=15000010% profitso SP should be 165000one third sold at loss of 6%so SP=50000*0.94=47000so remianing S0=118000so remaining have to sell at 18%

75331.

A farmer has some horses and cows in the ratio 10:9. The ratio of the numberof female horses to the number of male horses is 2:9. If there are 180male horses, how many cows does the farmer have?The farmer hasScows.

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Thankew

75332.

mina- ExerciseOne type of liquid contains 14% of milk, the other con-tains 24% of milk. A can filled with 5 parts of the firstliquid and 5 parts of the second liquid. Find the percent-age of milk in the new mixture.I.e ofks

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75333.

Jyotika travelled 25 km by bus and 50 km by train. What per cent of the total journey did he travel by bus?

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75334.

S. Divide 56 in four parts in A.P. such that the ratio of the product of their extremes totheCBSE 2016)product of their means is 5: 6.

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4 no =a-3d,a-d,a+d,a+3dsum , 4a=56a=14(a-3d)(a+3d)/(a-d)(a+d)=5:66(a²-9d²)=5(a²-d²)a²=54d² - 5d²14² =49d²d²=14² /7²d=±14/7=±2for d=2, a-3d=14-6=8a-d=14-2=12a+d=14+2=16a+3d=14+6=20Numbers are 8,12,16,20

75335.

(d) The total population of a city is 21 lakhs. The proportion ofmales and females in the city is 4:3. Among total females 55%are in fertility age of groups, If the GFR of the city is 40, thenfind its crude birth rate.

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population of the city = 2100000

ratio of male to females = 4:3

let the ratio factor be X.

number of males = 4X

number of females = 3X

A/Q

4X + 3X = 2100000

7X = 2100000

X = 2100000 / 7

X = 300000

number of females = 3X = 3 x 300000 = 900000

number of females in fertility age group = 55% of 900000 = (55 x 900000)/100 = 495000

ER. RAVI KUMAR ROY

since GRF is 40, that means 40%

crude Birth rate = 40% of 495000 = (40 x 495000)/100 = 198000 children (ANS)

75336.

A farmer sells 2 bullocks for 24,000 each. On one bullock he gained 25% and on the other he lost 20%, find the total profit or loss percent.

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75337.

A person sells an article at a profit of 10/.if he had bought it at 10/less and sold it for ₹3 more,he would have gained 25/.find the cost price.

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75338.

(c) 6%(d) 5%5. A shopkeeper sold a TV set for 17940 (priceооinclusive of a discount of 8%) and gained19.6%. If no discount is allowed, then what willbe his gain per cent ?(a) 25%(c) 24.8%(b) 26.4%(d) 30%

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Answer is 30%...Marked price is ₹ 19, 500.Cost price is ₹ 15, 000.

See calculations in the picture enclosed.

75339.

it to gain 5%?ock he gained 25A farmer sold 2 bullocks for 24000 each. On one bullock he gainother he lost 20%. Find his total profit or loss percent?borroTheinter

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Total Selling Price for 2 bullocks = 24000 + 24000 = 48000.

Given that, on the 1st bullock, he gains 25%.

Cost Price of the 1st bullock = 24000 * 100/125

= 19200.

Given that, on the 2nd bullock, he lost 20%.

Cost price of the 2nd bullock = 24000 * 100/80

= 30000.Total cost price of 2 bullocks = 19200 + 30000

= 49200.

We know that Loss = CP - SP

= 49200 - 48000

= 1200.

AND,

Loss% = (Loss/CP) * 100

= (1200 * 100/49200)2.43%

75340.

uislalle UlTng a distance of R04 11U0.A car consumes 8 litres of petrol in covering Howkilometres will it travel in 26 litres of petrol?

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Given -

Kms driven : 100km

Fuel consumed : 8 litres

To find : how much it will travel in 26 litres of fuel

Solution : First of all find out fuel economy of car how much it traveled in 1litre and multiply your answer with 26litres of fuel

Find per litre fuel consumption

Distance Traveled/fuel consumption = Fuel economy

100/8 = 12.5

The car travels 12.5 km in 1litre of fuel.

2. To find distance covered in 26litre

Sincr car can travel 12.5 in 1 litre of fuel

In 26litre it will cover

Fuel consumption X fuel economy per litre = distance traveled

26 X 12.5 = 325

Therefore car can travel 325 kms in 26litres of fuel.

75341.

40 litre of milk contains 10% water. what quantity of water must be added so that it may contain 20% water.

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40 litre of milk contains 10% water so water is 40×10/100 = 4 litre if we add 5 litre of water then total water 4+5 = 9 litre and total solution 40+5 = 45 so water percentage 9*100/45 = 20% so 5 litre water need to add .

75342.

8. The angle of elevation of an electric bulb from an electric pole 10 m away is 60°. Find the heightof the bulb

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pq=h; qr=10m; V3=h/10; h=10V3 x V3/ V3=10×3/V3=30/V3

75343.

49. A bus consumes 25 litres of diesel in covering a distance of 90 kilometres. How much diesel isneeded to cover 288 kilometres?

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Hope this will help you25 liters = 90 km1 km = 25/90288km = 288 x 25/90 liters = 80 liters

75344.

(30.A bulb draws 24 W when connected to a 12 Vsupply. Find the power if it is connected to a 6 Vsupply.(a) 12 W(b) 6 W(c) 18 W(d) 24 W

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75345.

4. A car of mass 2,400 kg moving with a velocity of 20 m/s is stopped in 10 seconds on applyingbrakes. Calculate the retardation, and retarding force?5. The masses of two bodies

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75346.

. Two friends Aisha and Suchi have 40 and61 numbers of same type of toysrespectively, which they have to distributeamong two groups of children, such thateach one gets equal number of toys. Aherdistributing in such a manner, Aisha andSuchi are left with 5 toys each. Then, findthe total number of children who got thetoys and the toys received by each child

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75347.

11. Renu sold an article at a loss of 8 percent.Had she bought it at 10% less and sold for36 more, she would have gained 20%.Find the cost price of the article.

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75348.

11. Renu sold an article at a loss of 8 percent.Had she bought it at 10% less and sold for36 more; she would have gained 20%Find the cost price of the article.

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Let the cost price of the article be Rs 100.

Given that Renu sold it at loss of 8%.

Hence the selling price = Rs 100 – Rs 8 = Rs 92

It is given that if she had purchased it at 10 % less

The new CP = Rs 100 – Rs 10 = Rs 90.

Given that she will get a gain of 20% on it.

Hence new SP = Rs 90 + Rs 18 = Rs 108

Therefore the difference in SP = Rs 108 – Rs 92 = Rs 16

Given the difference in SP = Rs 36

Initial CP =100 * (36/16) = 225

Thus the initial cost price is Rs 225.

75349.

Ex.7. A man sells an article at a profit of 20%. If he had bought it at 20%less and sold for Rs 5 less, he would have gained 25%. Find the costprice of the article.

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75350.

s and 10%. The(b) R 375(c)R 360(d) ? 400Atrader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At whatper cent higher than the cost price must he mark his goods?(a) 30(b) 3323(c) 34(d) 353

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Let the increased rate be x. Then, (100+20)/100 * cost = ((100+x)/100)*(90/100)*cost=> 6/5= (100+x/100)*(9/10)=> 100+x = 600/5 * 10/9=> 100+x = 400/3=> x = 400/3 - 100=> x =100/3 =33(1/3)%

answer is wrong

give me correct answer

The answer has now been corrected.