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71851.

l DIll UI last time. What was the price cline D22u When he came last time?year's crop was 90,000 kg what was the amount of apples he had last year?was the price of the comnut4 This year Mr. Chatwal's apple orchard gave a bumper crop of 25% more than last year. If t5 A computer costs39,600. In the last 6 months, the nrice hnd

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thank yu so so much

71852.

Two circles of radii 10 cm and 8 cmintersect and the length of the commonchord is 12 cm. Find the distance betweentheir centres.

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71853.

. Two circles of radii 10 cm and 8 cmintersect and the length of the commonchord is 12 cm. Find the distance betweentheir centres.

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71854.

12. Two circles of radii 10 cm and 8 cmintersect each other, and the length ofthe common chord is 12 cm. Find thedistance between their centres.

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How it is possible to reply my queries in just less than one second..!

71855.

A person buys electronic goods worth 10,000 for which thesales tax is 4% and other material worth 15,000 for which thesales tax is 6%. He manufactures a gadget using all these andsells it at 15% profit.what is his selling price?2.

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Worth of electronic goods=Rs.10000

Sales tax=4%

CP of electronic goods=10000x104/100=10000x1.04=Rs.10400

Worth of other material=Rs.15000

Sales tax=6%

CP of other material=15000x106/100=15000x1.06=Rs.15900

CP of whole equipment for manufacturing the gadget=10400+15900=Rs.26300

Profit%=15%

SP=CPx100+P%/100

=26300x100+15/100

=26300x115/100

=26300x1.15

=30245

SP of gadget=Rs.30245

71856.

Iwo circles of radii 10 cm and 8intersect each other, and the length ofthe common chord is 12 cm. Find thedistance between their centres.cmDI O'

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71857.

circles of radii 10 cm and 8 cmtersect each other, and the length ofind the, Twothe common chord is 12 cm. Fdistance between their centres.0

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71858.

0०) sin (60° — 6) = cos (30° + 6)[Hint. LHS = sin [90° — (30° + 0)]]

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71859.

Ex.8: Mr A lent at simple interest Rs 7200 partly at 6% p.a and partly% р.a. Ifthe interest received after one year is Rs.450, how muchat 7did he lend at different rate of interest?

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suppose in 6% he lent x and in 7% he lent 7200-xso total interest(x×6×1)/100+(7200-x)7/100=4506x+50400-7x=45000so x=5400so in 6% he lent 5400 and in 7% he lent 7200-5400=1800

71860.

llure thancircles of radii 10 cm and 8 cmersect each other, and the length ofmmon chord is 12 cm. Find thethe coistance between their centres.

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71861.

:Thedifferencebetween the interest received from twodifferent banks on Rs 500 for 2 years is Rs 2.5. Findthe differene between their rates.

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71862.

rs 3,500 is given at the 7% per year rate of interest. find the interest which will be received at the end of two years.

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S.I = P*R*T/100

here T = 2 years , P = 350 and R = 7%

so, S.I = 3500*7*2/100 = 490rs

71863.

12. Two circles of radii 10 cm and 8 cmintersect each other, and the length ofthe common chord is 12 cm. Find thedistance between their centres.D)0'

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71864.

two circles of radii 10 cm and 8cm intercept and the length of the common chord is 12 cm find the distance between their centres

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71865.

3 Mukerjee purchased a movie camera for 25488, which includes 10% rebate on the listprice and 18% tax (under GST) on the remaining price. Find the marked price of thecamera.

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25488 = (100+18)/100 * (90/100) * Marked Price=> Marked Price = (25488*100*100)/(118*90)=> Marked Price = Rs. 24000

71866.

EXERCISE 6.21. Find the square oi the following numbers(i) 32(v) 71(ii) 35(vi) 46(iii)86(iv) 932.Write a Pythagorean triplet whose one member is.0) 6(i) 14(iii)16(iv) 18

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32×32=102435×35=122586×86=739671×71=504146×46=2116

6,8,1014,48,5012,16,2018,80,82

71867.

Ex: 5) Find the middle term of

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71868.

Find the middle termin the expansion of

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71869.

Back on the island we made plenty of kites. (Split the sentences)

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WHEN WE CAME BACK ON THE ISLAND , WE MADE PLENTY OF KITESplease like the solution 👍 ✔️

71870.

SA 25% reduction on the neice of suit equalsto R8 450. What is the orignal pere?

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Suppose that is xsox-(25/100x)= 4500.75x= 450x= 450/0.75= 600

71871.

Rajan bought a suit for2995.He paid 7% sales tax on it. What did he pay in total?

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CP=2995sales tax=7%so total pay=2995+7% of 2995=3,204.65

71872.

28)The lengths of radii two circles are 5cm& 3cm and they touch cach other externally , thenthe distance between two centres of the circles isa)2 cmb) 2.5 cmc) 1.5 cmd) 8 cm

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distance between centres of circle when they touch externally is sum of radiidistance between centres=5+3=8cm

71873.

4.A sum of money invested at compound interestamounts in 3 years to 2,400 and in 4 years toく2,520. 1 he interest rate per annum is:(a) 6%(c) 1000(b)(d)5%12%

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71874.

Change the following data into 'less than type' distribution and draw itsogive:ClassInterval:Frequency 730-40 40-50 50- 60 60-70 70-80 80-90 90 100106630/2/110

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71875.

. P & Q are centres of circles of radii 9 cm and 2cm respectively, PQ = 17 cm, R is the centre ofthe circle of radius x cm which touches the aboveexternally. Given that angle PRO is 90°. Write anequation in x and solve it

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Clearly,PQ= 17PR=x+9RQ= x+2So, from pythagoras theorem,PR² + RQ² = PQ²(x+9)² + (x+2)² = 17²Which gives 2x² + 22x + 85 = 289which gives x² + 11x - 102= 0as the required equation.solving, we get , x=6 or -17 Since radius cannot be negative, so x= 6

71876.

(a)50%(b)8%(C)/.570(38. A person deposited500 for 4 years and R 600for 3 years at the same rate of simple interest ina bank. Altogether he received 190 as interest.The rate of simple interest per annum was(a) 390 (b) 4% (c) 5% (d) 2%f the rost price and selling price of an

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71877.

Two circles are touchingeach other externallySum of their areas is130 π cm^2. Distancebetween their centres is 14 cm. Findthe radii of both the circles.

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71878.

3. A man invested 20000 at 5% per annum. Find the Interest received Dy nim at the end4. What principal will amount to? 16240 in 4 years at 4% per annum simple interest?

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71879.

2. Two circles of radii 10 cm and 8 cmintersect each other, and the length ofthe common chord is 12 cm. Find thedistance between their centresD o'

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71880.

6. Mr Mukerjee gave 5 of his money to his son, 2 of the remainder to his daughte143the rest to his wife. If his wife got36000, what was the total amount?

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71881.

Find the square of the following numbers(i) 32(v) 711.(iii)(ii) 35(vi) 4686(iv) 932. Write a Pythagorean triplet whose one memberis.

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by basic miltiplication32^2=32×32=102435^2=35×35=122586^2=86×86=739693^2=93×93=864971^2=71×71=504146^2=46×46=2116

71882.

Which one of the following numbers willcompletely divide(5^51 +5^52 + 5^53 +5^54 5^55)?(a) 7(c) 9(b) 11(d) 13

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71883.

3x^2+15x+18 split the middle term

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By dividing by 3sox^2+5x+6x^2+3x+2x+6= 0x(x+3)+3(x+2)= 0x= -2,-3

71884.

3. On selling a chair for720, a man loses 25%. To gain 25% it must be sold for(b) 1200(a) 900(c) R 1080(d) 1440

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71885.

UUসমাধান করি :i) 3y2–20=160-2y2v) 3x - 24-,**je +2=0, x=x3 xts -ax+b = cxtda+bx c+dx Lx+12

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71886.

120gofsugar2ed a cake. For every 160 g of butter she used 200 g of flour andWhat is the ratio of:cbutter to sugar?b flour to sugar?If she used 192g of ingredients, how much of each item did she use?iIIou much did each get?

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71887.

20 x ^ 2 - 20 x %2B 1 = 0

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100x²-20x+1=0100x²-10x-10x+1=010x(10x-1)-(10x-1)=0(10x-1)(10x-1)=0(10x-1)²=0x=1/10

71888.

\left. \begin{array} { c } { x ^ { 3 } - m x ^ { 2 } + 10 x - 20 } \\ { x = - 2 } \end{array} \right.

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71889.

2. A borrowed5000 from B on S.I. After 4 years B received1000 more than the amount givenA on loan. Find the rate of interest.

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71890.

Find the mean age for the following data:10 -30 30 50 50 70 70 90Age (yrs)No. of persons151218

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71891.

Two arcs of the same length subtend angles of 60and 75° at the centres of the circles. What is the ratioof radii of two circles?

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71892.

D. TU YF.C. Il yr.D. 12 yr.75. ARothinbabu deposits the money for each of his two daysuch a way that when the ages of each of his daughtedaughte18 yrs. each one will get Rs. 1,20,000. The rate of simpleper annum in the bank is 10% and the present agesdaughters are 13 yrs and 8 yrs. respectively. Determinmoney, he had deposited separately in the bank for eachdaughters.4. Rs. 80000, Rs. 60000B. Rs. 80000, Rs. 40000C. Rs. 80000, Rs. 30000 D. Rs. 50000, Rs. 30000

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What is Homogeneous mixture

Let’s money deposited by Rothinbabu for his daughters are ‘p’ and ‘P’ respectively.

For a girl of 13 years:

P = p, r = 10, t = 5 and I = ?

71893.

237. Solve the equation x x-2-0 graphically.Construct a direct common tangent to two circles of radii 4 cm and 2 cmwhose centres are 9 cm apart. Measure and write the length of thetangent

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wrong answer...........

please send answer quickly

71894.

that two circles are congruent if they have the same radii. Provof congruent circles subtend equal angles at their centres.t circles subtend equal angles at their

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71895.

HueAscending and descending order1. Ring the biggest number in blue and the smallest numbera) ( 13 17 51 8693 549 23 35 (44)18 42est number in red.1fotboll

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71896.

By selling 500 oranges, a man loses the cost price of 25 oranges. Find his losspercentage on CP. and also on S.P.

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1

71897.

Joanna split three pitchers of water equallyamong her eight plants. What fraction of apitcher did each plant get?A) 1/8 of a pitcherB) 1/3 of a pitcherC) 3/8 of a pitcherD) 8/3 of a pitcher

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number of pitchers is 3number of plants is 8so each will get 8/3 of a pitcher.option (D) is correct

71898.

On selling a jug for189, what is the gain144, a man loses 7 of his out lay. If it is sold for

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Selling price of jug SP = 144Let cost price of jug = CP Then loss = (1/7)CP

SP = CP - loss144 = CP - CP/7144 = CP(6/7)CP = 144*7/6CP = 168

If selling price SP =

71899.

ILLUSTRATION 7.A man bought an article for 5,000, spent 300 on itscarriage, and 200 on octroi duty. If he sells the article for ? 6,000, find hisprofit or loss per cent. If he desires tomake a profit of 20%, at what price shouldhe sell it ? Also, find his selling price when he loses 10%.

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71900.

50 8-x20 x-71., where x is CP. of the mix.

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50(x-7) = 20(8-x)

50x-350 = 160-20x

50x+20x = 160+350

70x = 510

x = 51/7

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