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401.

What is 26% of 55% of $$\frac{10}{13}$$th of 6100 ?1). 6172). 6813). 7064). 734

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Solution

The REQUIRED NUMBER is $\frac{26}{100}*\frac{55}{100}*\frac{10}{13}*6100 = 671$

As this is not among the OPTIONS given, the correct answer is 'None Of These'

402.

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Solution

Let x be the unknown QUANTITY, then

x = 1.05% of 2500 + 2.5% of 440 =26.25 + 11 = 37.25

403.

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Solution

Expression : 45% of 720 = 30% of ?

=> $\frac{45}{100} \times 720 = \frac{30}{100} \times ?$

=> $? = \frac{45 \times 720}{30}$

= $? = 15 \times 72 = 1080$

404.

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Solution

Expression : 150% of 240 + 125% of 1684 = [ ?- 345] × 493

=> $(\frac{150}{100} \times 240) + (\frac{125}{100} \times 1684)$ = $(x - 345) \times 493$

=> $360 + 2105 = (x - 345) \times 493$

=> $x - 345 = \frac{2465}{493}$

=> $x = 5 + 345 = 350$

405.

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Solution

We need to FIND the VALUE of 125% of 200+36% of 350

125% of 200 = 250
36% of 350 = 126

Hence, the SUM EQUALS 250 + 126 = 376

As this is not given in the options, the correct answer is option (E)

406.

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Solution

Let X be the unknown quantity, then

x% of 350 = 399 - (48% of 525) = 399 - 252 = 147

x = $\frac{147}{350}$x 100% = 42

407.

Fredrick after spending 20% of his monthly salary in buying electronic goods and 10% of the monthly salary in repair work of furniture, invested 30% of the remaining amount in fixed deposits. If he was left with Rs. 18,963, how much is his monthly salary ?1). Rs. 38,7002). Rs. 35,6503). Rs. 40,2004). Rs. 37,950

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Solution

Let monthly salary = Rs. $100x$

Amount spent on buying electronic goods = $\frac{20}{100} \times 100x = 20x$

Amount spent on REPAIR work = $\frac{10}{100} \times 100x = 10x$

Amount left = $100x - 20x - 10x = 70x$

Amount invested in fixed deposits = $\frac{30}{100} \times 70x = 21x$

=> Amount left = $70x - 21x = 49X$

Acc to ques,

=> $49x = 18963$

=> $x = \frac{18963}{49} = 387$

$\therefore$ Monthly salary = 100 * 387 = Rs. 38,700

408.

75% of a number is equal to four-fifth of another number.What is the ratio between the first number and the second number respectively ?1). 16:152). 15:143). 5:64). 15:16

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Solution<P>Let the two numbers be p,q

75% of p MEANS 75/100*p or

3/4 of p, 4/5 of other number means 4/5q.Both are equal.

HENCE,3/4p=4/5q hence,p/q=16/15.

Hence the ratio is 16:15,hence, A

409.

Three-fifth of a number is more than its 40% by 85.What is 60% of that number ?1). 2452). 2553). 2604). 250

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Solution

Let the NUMBER be X

3x/5 - 40x/100 = 85

So one fifths of the number = 85

3 fifths = 85 x 3 = 255

410.

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Solution

We need to FIND the VALUE of 1.4% of 750 + 2.2% of 480

1.4% of 750 = 10.50
2.2% of 480 = 10.56

Hence the sum EQUALS 10.50 + 10.56 = 21.06

411.

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Solution

Let the NUMBER to replace the question mark be EQUAL to X

So, 45% of 240+X% of 360=234
45% of 240 = 108

Therefore, X% of 360 = 234 - 108 = 126
Therefore, X = 126/360 = 35%

Hence, the correct answer is option (b)

412.

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Solution

Expression : 38 % of 4500 — 25% of ? = 1640

=> $(\frac{38}{100} \times 4500) - (\frac{25}{100} \times x) = 1640$

=> $1710 - \frac{x}{4} = 1640$

=> $\frac{x}{4} = 1710 - 1640 = 70$

=> $x = 70 \times 4 = 280$

413.

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Solution

18% of 450 = 0.18 * 450 = 81
75% of 96 = 0.75 * 96 = 72

Hence, the difference equals 81-72 = 9. As this is not in one of the options given, the correct ANSWER is OPTION (E)

414.

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Solution

Expression : 156% of 850 - 3/5 of 280 + 85% of 440 = ?

= $(\FRAC{156}{100} \times 850) - (\frac{3}{5} \times 280) + (\frac{85}{100} \times 440)$

= $1326 - 168 + 374$

= $1700 - 168 = 1532$

415.

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6120 : SEEMS CORRECT

416.

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Solution

Let X be the UNKNOWN quantity, then

x = 125% of 560 + 22% of 450 = 700 + 99 = 799

417.

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Solution

Let the NUMBER to replace the QUESTION mark be equal to X

So, 145% of 780+X% of 250=1231
145% of 780 = 1131

So, 1131 + X% of 250 = 1231
Therefore, X% of 250 = 100
Or, X = 40%

418.

Rajesh spends 12% of his monthly income on entertainment, 18% of his monthly income on children?s education 50% of his monthly income on other household items and the remaining amount of Rs 5,200 he saves.What is his monthly income ?1). Rs 25,4002). Rs 26,2003). Rs 24,8004). Rs 25,600

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Solution

20% of his SALARY = 5020

So, his FULL salary = 5020 X 5 = 25100

419.

Mary paid 15% of her monthly salary towards an EMI. From the remaining salary. she paid 10% as Internet bill and 20% as rent. If after the mentioned expenses she was left with Rs. 24,990 /-, what was Mary's monthly salary ?1). Rs.45,000/-2). Rs.48,000/-3). Rs.42,000-4). Rs.36,000/-

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Solution

Let Mary's monthly salary = Rs. $100x$

Money spent on EMI = $\frac{15}{100} \times 100x = 15x$

Amount left = $100x - 15x = 85X$

% amount left after paying INTERNET BILL and rent = $100 - (10 + 20) = 70 \%$

=> Amount left = $\frac{70}{100} \times 85x = 24,990$

=> $\frac{7 \times 17x}{2} = 24,990$

=> $X = \frac{24,990 \times 2}{7 \times 17}$

=> $x = 210 \times 2 = 420$

$\therefore$ Mary's monthly salary = $100 \times 42$ = Rs. $42,000$

420.

58% of 842 + ? = 12001). 874.542). 711.643). 674.744). 543.84

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Solution

Expression : 58% of 842 + ? = 1200

=> $\frac{58}{100} \TIMES 842 + ? = 1200$

=> $488.36 + ? = 1200$

=> $? = 1200 - 488.36 = 711.64$

421.

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Solution

Expression : 92.5% of 550=?

= $\FRAC{92.5}{100} \TIMES 550$

= $508.75$

422.

What is 26% of 55% of 10/13th of 6100 ?1). 6172). 6813). 7064). 734

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Solution

To find : 26% of 55% of 10/13th of 6100

= $\frac{26}{100} \times \frac{55}{100} \times \frac{10}{13} \times 6100$

= $11 \times 61 = 671$

=> Ans - (E)

423.

In a village, only 63% of the registered voters could cast their votes and none of the votes cast were invalid. Only two candidates were contesting the election and the respective ratio of the votes received by them is 4 : 5. If the winning candidate received 1120 votes, what is the number of registered voters in the village ?1). 32002). 34003). 36004). 3160

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Solution

Let the number of registered voters in the village = $100x$

=> No. of voters who cast their votes = $\frac{63}{100} \times 100x = 63x$

Let no. of votes RECEIVED by winning candidate = $5y$

=> No. of votes received by losing candidate = $4y$

Acc to ques,

=> $5y = 1120$

=> $y = \frac{1120}{5} = 224$

=> Total votes = $5y + 4y = 9y$

= $9 \times 224 = 2016$

Now, total casted votes = $63x = 2016$

=> $x = \frac{2016}{63} = 32$

$\therefore$ Number of registered voters = 32 * 100 = 3200

424.

Answer»

Solution

Population of Hamirpur in 2005 = 75000

% increase every year = 7%

=> population in 2006 = 75000 * 1.07 = 80250

MALES : Females = 1 : 1.5

=> No. of males in 2006 = $\frac{1}{2.5} * 80250$

= 32100

425.

Answer»

Solution

Expression : $(739\% of 383) \div 628 = ?$

= $(\frac{739}{100} \TIMES 383) \div 628$

= $(\frac{740}{100} \times 380) \div 630$

= $\frac{2812}{630}$

= $4.46 \approx 4.50$

426.

52% of (?) = 3387.281). 69802). 63423). 67184). 6539

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Solution

Expression : 52% of (?) = 3387.28

=> $\FRAC{52}{100} \TIMES ? = 3387.28$

=> $? = \frac{3387.28}{0.52}$

=> $? = 6514$

427.

45% of a number is less than its 64% by 38. What is 20% of that number?1). 202). 403). 104). 60

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Solution

Let the number be equal to X.
Hence, 45% of the number is 0.45X
64% of the number is 0.64X

The DIFFERENCE is 0.19X and it equals 38
So, X = 38/0.19 = 200

Hence, 20% of the number equals 20% of 200 = 40

428.

71% of a number is more than its 46% by 120. What is 30% of that number ?1). 1602). 1503). 1404). 148

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Solution

Le the required number be X.
So (71% - 46%) * X = 120
Or 25%*X = 120
Therefore X = 120*100/25 = 480

Therefore, 30% of that number is 480*30/100 = 144

429.

Mr. Khanna took a loan of Rs.10,000/- on simple interest for two years at the rate 3 p.c:p.a:The total amount that he will be paying as interest in 2 years is 3% of his monthly salary. What is his monthly salary?1). Rs.30,000/ -2). Rs. 16,000/-3). Rs.20,000/-4). Rs. 12,000/-

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Solution

$S.I. = \FRAC{Principal \times RATE \times time}{100}$

= $\frac{10,000 \times 3 \times 2}{100}$

= Rs. $600$

$\therefore$ MR. Khanna's monthly salary

= $600 \times \frac{100}{3}$

= Rs. $20,000$

430.

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Solution

Expression : 30% of 1225 - 64% of 555 = ?

= $(\frac{30}{100} \times 1225) - (\frac{64}{100} \times 555)$

= $367.5 - 355.2 = 12.3$

431.

One-seventh of a number is 51. What will be 64% of that number ?1). 248.122). 228.483). 238.244). 198.36

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Solution

Let the number = $7x$

ACC to QUES,

=> $\frac{1}{7} * 7x = 51$

=> $X = 51$

Now, 64% of the number = $\frac{64}{100} * 7 * 51$

= 228.48

432.

12% of 555 + 15% of 666 = ?1). 166.52). 167.53). 168.54). 169.5

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Solution

Expression : 12% of 555 + 15% of 666 = ?

= $(\frac{12}{100} \TIMES 555) + (\frac{15}{100} \times 666)$

= $(\frac{3}{5} \times 111) + (\frac{3}{10} \times 333)$

= $66.6 + 99.9$

= $166.5$

433.

The difference between 56% of a number and 41% of the same number is 660. What is 8% of that number ?1). 3212). 3363). 3454). 358

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Solution

Let the number be $100x$

ACC to ques,

=> $(\FRAC{56}{100} * 100x) - (\frac{41}{100} * 100x) = 660$

=> $56x - 41x = 660$

=> $x = \frac{660}{15} = 44$

$\THEREFORE$ 8% of the number = $\frac{8}{100} * 100x = 8 * x$

= 8 * 44 = 352

434.

65% of a number is more than its two-fifth by 140. What is 30% of that number ?1). 1862). 1683). 1644). 182

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Solution

Let the number be X.
So, $ 65 \%$of X - $\frac{2}{5}$ of X = 140
Or, $(\frac{65}{100}-\frac{2}{5})*X = 140$
So, $\frac{25}{100}*X = 140$
Therefore,X = 140*4 = 560
Hence, 30% of X = 30%*560 = 168

435.

Answer»

Solution

Expression : 22% of 365 - 36% of 465 = ?

= $(\FRAC{22}{100} \times 365) - (\frac{36}{100} \times 465)$

= $80.3 - 167.4 = -87.1$

436.

Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750/-. What is Sonali?s monthly income?1). Rs. 42,500/-2). Rs. 38,800/-3). Rs. 40,000/-4). Rs. 35,500/-

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Solution

Let Sonai's monthly salary be Rs. $100x$

Sonali's % monthly expenditure = (15 + 55)% = 70 %

=> Savings % = 100 - 70 = 30 %

Acc to QUES,

=> $\frac{30}{100} * 100x = 12750$

=> $x = \frac{12750}{30} = 425$

=> Sonali's monthly income = $100x$

= 100 * 425 = Rs. 42,500

437.

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Solution

Expression : 23% of 1630 = ?

= $\FRAC{23}{100} \TIMES 1630$

= $374.9$

438.

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Solution

Expression : ? % of 460 - 34% of 356 = 456

=> $(\frac{x}{100} \TIMES 460) - (\frac{34}{100} \times 356) = 456$

=> $4.6x - 121.04 = 456$

=> $4.6x = 456 + 121.04 = 577.04$

=> $x = \frac{577.04}{4.6} = 125.44$

439.

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Solution

Expression : 40% of 60% of 3/5 of 2750 =?

= $\frac{40}{100} \times \frac{60}{100} \times \frac{3}{5} \times 2750$

= $\frac{2}{5} \times \frac{3}{5} \times \frac{3}{5} \times 2750$

= $2 \times 9 \times 22$

= $396$

440.

A plot of 640 sq. ft. is available at the rate of Rs. 4,600 per sq. ft. If 30% of the total cost of the plot is to be paid for booking the plot, how much is the booking amount?1). Rs. 9,38,1002). Rs. 8,83,2003). Rs. 9,83,2004). Rs. 8,38,100

Answer»

Solution

Total cost of the plot = 640 * 4600 = RS. 29,44,000

30% of the total cost is to be PAID for BOOKING

=> Booking amount = $\frac{30}{100} * 2944000$

= Rs. 8,83,200

441.

Answer»

Solution

45% of 660 = 297
28% of 450 = 126

Hence the SUM EQUALS 423

442.

75% of a number is equal to three-seventh of another number. What is the ratio between the first number and the second number respectively ?1). 4:72). 7:43). 12:74). 7:12

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Solution

Let the two numbers be X and Y respectively.
So, $75 \% X = \frac{3}{7}Y$
Or, $\frac{3}{4}*X = \frac{3}{7}*Y$
So, the RATIO of X:Y = 4:7

443.

Answer»

Solution

Expression : 35% of 160 + ?% of 180 = 50% of 310

=> $\frac{35}{100} * 160 + \frac{?}{100} * 180 = \frac{50}{100} * 310$

=> $(160 * 35) + (180 * ?) = (310 * 50)$

=> $180 * ? = 15500 - 5600 = 9900$

=> $? = \frac{9900}{180} = 55$

444.

45% of a number is 255.6 .what is the 25% of that number?1). 1622). 1323). 1524). 142

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Solution

Let number = $100X$

Acc. to ques,

=> $\frac{45}{100} \TIMES 100x = 255.6$

=> $45x = 255.6$

=> $x = \frac{255.6}{45} = 5.68$

Number = $100 \times 5.68 = 568$

$\THEREFORE$ 25% of number = $\frac{25}{100} \times 568$

= 142

445.

Mr.Davar spends 38% of his monthly income on food 25% on children?s education and 12% on transport and the remaining amount of Rs 5,800 he saves.What is Mr.Davar?s monthly income ?1). Rs 23,2002). Rs 24,2003). Rs 23,8004). Rs 24,400

Answer»

(38+25+12)%= 75 %$

X = (5800 * 100)/75$

x = 23200$

446.

The difference between 67% of a number and 43% of the same number is 912. What is 19% of that number ?1). 6082). 7983). 7224). 684

Answer»

Solution

Let the number be $100X$

Acc to ques,

=> $(67 - 43) \%$ of $100x = 912$

=> $\frac{24}{100} \times 100x = 912$

=> $x = \frac{912}{24} = 38$

=> Number = 100 * 38 = 3800

$\therefore$ 19% of 3800 = $\frac{19}{100} * 3800$

= 722

447.

Five eighth of a number is equal to 60% of another number. What is the ratio between the first number and the second number respectively ?1). 13:122). 12:133). 25:244). 24:25

Answer»

Solution

Let the two numbers be X and Y.
So, $\frac{5}{8}*X = 60 \% Y$
Or, $\frac{5}{8}*X = \frac{3}{5}*Y$
So, $\frac{X}{Y} = \frac{24}{25}$

HENCE, the required ratio is 24:25

448.

?Rajapaksha threatens to dissolve Lanka Parliament? was the news in leading newspapers a few days back. Which of the following was the reason owing to which President Rajapaksha threatens to take such a drastic step ? ( Pick up the correct statements.)(A). A number of MPs from Sri Lanka Freedom Party are defecting to join another party launched by another group of politicians .(B). A group of politicians under the leadership of former President Chandrika Kumartunga is demanding the postponement of elections for the post of President due in the month of November 2007 so that Chandrika can come back from exile and contest of the same.(C). Rajapaksa wants general public and also MPs to support his formula on Peace with LTTE which is not acceptable to most of the MPs.1). All A, B & C2). Only B3). Only C4). Both A & B

Answer» OPTION 1 : SEEMS CORRECT
449.

Which of the following is/are the measure(S) taken by the Reserve Bank of India (RBI) to ease the liquidity crunch in the country?1.Cut in Cash Reserve Ratio and Statutory Liquidity Ratio.2.Increase the flow of foreign direct investment3.Supply of additional currency notes in the market1). Only 12). Only 23). Only 34). ALL, 2 and 3

Answer»

Only 1

450.

The Hyderabad-based marketer of dairy products which on June 30, 2007, launched ?Fresh 0? chain of retail stores in Chennai is?1). Crisp Foods2). Foodie3). Fresh n’ Healthy4). Heritage Foods

Answer»

it from PREVIOUS year ssc PAPERS, OPTION 4 is the RIGHT ANSWER