{"id":36011,"date":"2019-10-14T14:21:19","date_gmt":"2019-10-14T08:51:19","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=36011"},"modified":"2019-10-14T14:21:19","modified_gmt":"2019-10-14T08:51:19","slug":"cat-level-questions-on-percentage","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/cat-level-questions-on-percentage\/","title":{"rendered":"CAT Level Questions on Percentage"},"content":{"rendered":"

CAT Level Questions on Percentage<\/strong><\/span><\/h2>\n

Download important CAT Level\u00a0 Questions on Percentage PDF based on previously asked questions in CAT exam. Practice Percentage Questions PDF for CAT exam.<\/p>\n

Download CAT Level Questions on Percentage<\/a><\/p>\n

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Download CAT Quant Questions PDF<\/a><\/p>\n

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Question 1:\u00a0<\/b>Seema has joined a new Company after the completion of her B.Tech from a reputed engineering college in Chennai. She saves 10% of her income in each of the first three months of her service and for every subsequent month, her savings are Rs. 50 more than the savings of the immediate previous month. If her joining income was Rs. 3000, her total savings from the start of the service will be Rs. 11400 in:<\/p>\n

a)\u00a06 months<\/p>\n

b)\u00a012 months<\/p>\n

c)\u00a018 months<\/p>\n

d)\u00a024 months<\/p>\n

Question 2:\u00a0<\/b>Sailesh is working as a sales executive with a reputed FMCG Company in Hyderabad. As per the Company\u2019s policy, Sailesh gets a commission of 6% on all sales upto Rs. 1,00,000 and 5% on all sales in excess of this amount. If Sailesh remits Rs. 2,65,000 to the FMCG company after deducting his commission, his total sales were worth:<\/p>\n

a)\u00a0Rs. 1,20,000<\/p>\n

b)\u00a0Rs. 2,90,526<\/p>\n

c)\u00a0Rs. 2,21,054<\/p>\n

d)\u00a0Rs. 2,80,000<\/p>\n

Question 3:\u00a0<\/b>There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. Alloys P and Q are mixed in the ratio of 1 : 4 . 5. The approximate percentages of silver and copper in the newly formed alloy is:<\/p>\n

a)\u00a033% and 29%<\/p>\n

b)\u00a029% and 26%<\/p>\n

c)\u00a035% and 30%<\/p>\n

d)\u00a0None of the above<\/p>\n

Question 4:\u00a0<\/b>Arun’s present age in years is 40% of Barun’s. In another few years, Arun’s age will be half of Barun’s. By what percentage will Barun’s age increase during this period?<\/p>\n

Question 5:\u00a0<\/b>The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is<\/p>\n

a)\u00a035<\/p>\n

b)\u00a050<\/p>\n

c)\u00a060<\/p>\n

d)\u00a065<\/p>\n

Take a free mock test for CAT<\/a><\/p>\n

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Question 6:\u00a0<\/b>If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29th February. If we are to consider people born in 20th century (1901-2000) and assuming no deaths.<\/p>\n

a)\u00a00.374<\/p>\n

b)\u00a00.5732<\/p>\n

c)\u00a00.0664<\/p>\n

d)\u00a0None of these<\/p>\n

Question 7:\u00a0<\/b>Tina, Mina, Gina, Lina and Bina are 5 sisters, aged in that order, with Tina being the eldest. Each of them had to carry a bucket of water from a well to their house. Their buckets\u2019 capacities were proportional to their ages. While returning, equal amount of water got splashed out of their buckets. Who lost maximum amount of water as a percentage of the bucket capacity?<\/p>\n

a)\u00a0Tina<\/p>\n

b)\u00a0Mina<\/p>\n

c)\u00a0Gina<\/p>\n

d)\u00a0Lina<\/p>\n

e)\u00a0Bina<\/p>\n

Question 8:\u00a0<\/b>In 2006, Raveendra was allotted 650 shares of Sun Systems Ltd in the initial public offer, at the face value of Rs. 10 per share. In 2007, Sun Systems declared the bonus at the rate of 3 : 13. In 2008, the company again declared the bonus at the rate of 2 : 4. In 2009, the company declared a dividend of 12.5%. How much dividend does Raveendra get in 2009 as a percentage of his initial investment?<\/p>\n

a)\u00a024.5%<\/p>\n

b)\u00a023.9%<\/p>\n

c)\u00a024.1%<\/p>\n

d)\u00a023%<\/p>\n

Question 9:\u00a0<\/b>The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?<\/p>\n

a)\u00a065 percent<\/p>\n

b)\u00a060 percent<\/p>\n

c)\u00a070 percent<\/p>\n

d)\u00a0None of the above<\/p>\n

Question 10:\u00a0<\/b>Arun’s present age in years is 40% of Barun’s. In another few years, Arun’s age will be half of Barun’s. By what percentage will Barun’s age increase during this period?<\/p>\n

Download CAT Quant Questions PDF<\/a><\/p>\n

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Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Seema saved Rs. 900 in the first 3 months. She must saved Rs. (11400 – 900) = Rs. 10500 in the subsequent months.<\/p>\n

The sequence will be of the form: 350 + 400 +……….. $n$ terms = 10500<\/p>\n

=> $\\frac{n}{2}$ [2*350 + ($n$-1)*50] = 10500<\/p>\n

=>\u00a0$\\frac{n}{2}$ [70 + ($n$-1)5] = 1050<\/p>\n

=> $n^{2}$ + 13$n$ = 420<\/p>\n

Solving, we get $n$ = 15<\/p>\n

The savings of Rs. 10500 is done in 15 months. Seema saved Rs. 11400 in 15+3 = 18 months.<\/p>\n

Hence, option C is the correct answer.<\/p>\n

2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Let total sales be ‘x’<\/p>\n

The commission that Sailesh will get is x – 265000<\/p>\n

He gets 6% on sales upto 100000 and 5% on sales greater than that.<\/p>\n

Calculating his commission on total sales:<\/p>\n

0.06*100000 + 0.05(x-100000)<\/p>\n

Equating,<\/p>\n

0.05x + 1000 = x – 265000<\/p>\n

0.95x = 266000<\/p>\n

x= 280000<\/p>\n

Hence, his sales were worth 280,000<\/p>\n

3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Composition of alloy P<\/p>\n

Silver:Copper:Aluminium = 45:0:55<\/p>\n

Composition of alloy Q<\/p>\n

Silver:Copper:Aluminium = 30:35:35<\/p>\n

They are mixed in ratio of 1: 4.5<\/p>\n

Let us consider alloy P is taken 200 grams and alloy Q is taken 900 grams.<\/p>\n

Then for alloy P :-<\/p>\n

Silver:Copper:Aluminium = 90:0:110<\/p>\n

For alloy Q:<\/p>\n

Silver:Copper:Aluminium = 270:315:315<\/p>\n

Total weight of P and Q combined is 1100 grams.<\/p>\n

When P and Q are mixed, the new combined ratio of<\/p>\n

Silver:Copper:Aluminium = 360:315:425<\/p>\n

Percentage of Silver in mixture = $\\frac{360}{1100}$ x 100 $\\cong$ 33%<\/p>\n

Percentage of Copper in mixture = $\\frac{315}{1100}$ x 100 $\\cong$ 29%<\/p>\n

4)\u00a0Answer:\u00a020<\/b><\/p>\n

Let Arun’s current age be A. Hence, Barun’s current age is 2.5A
\nLet Arun’s age be half of Barun’s age after X years.
\nTherefore, 2*(X+A) = 2.5A + X
\nOr, X = 0.5A
\nHence, Barun’s age increased by 0.5A\/2.5A = 20%<\/p>\n

5)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Let the number of girls be 2x and number of boys be x.<\/p>\n

Girls getting admission = 0.6x<\/p>\n

Boys getting admission = 0.45x<\/p>\n

Number of students not getting admission = 3x – 0.6x -0.45x = 1.95x<\/p>\n

Percentage = (1.95x\/3x) * 100 = 65%<\/p>\n

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6)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Assume one person is born every day. In 100 years, there will be 25 leap years. So 25*1 additional people will be born on these days.<\/p>\n

So, total people born will be = $365 \\times 100 \\times 1 + 25 \\times 1$
\nAnd people born on 29th february = $25 \\times 1$
\nHence percentage will be = $\\frac{25 \\times 1}{365 \\times 100 \\times 1 + 25 \\times 1} \\times 100$ = 0.0684<\/p>\n

7)\u00a0Answer\u00a0(E)<\/strong><\/p>\n

Let the capacities of bucket of water carried by Tina, Mina, Gina, Lina and Bina respectively be $W_T, W_M, W_G, W_L, W_B$<\/p>\n

It is given that : $W_T > W_M > W_G > W_L > W_B$<\/p>\n

Let they spill $x$ litres of water from the bucket.<\/p>\n

Thus, %age of water spilled by them respectively be<\/p>\n

= $\\frac{x}{W_T} \\times 100 $, $\\frac{x}{W_M} \\times 100$, $\\frac{x}{W_G} \\times 100$, $\\frac{x}{W_L} \\times 100$, $\\frac{x}{W_B} \\times 100$<\/p>\n

$\\because W_T > W_M > W_G > W_L > W_B$<\/p>\n

$\\therefore \\frac{x}{W_T} \\times 100$ < $ \\frac{x}{W_M} \\times 100$ < $\\frac{x}{W_G} \\times 100$ < $\\frac{x}{W_L} \\times 100$ < $\\frac{x}{W_B} \\times 100$<\/p>\n

Thus, Bina lost maximum amount of water as a percentage of the bucket capacity.<\/p>\n

8)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Bonus share received in 2007 = 650 * (3\/13) = 150
\nBonus share received in 2008 = 800 * (1\/2) = 400
\nSo, has has (150 + 400) = 550 extra shares
\nDividend he will get = $\\dfrac{1200 * 12.5}{650} * 100$% = $23$%<\/p>\n

Hence, option D is the correct answer.<\/p>\n

9)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?<\/p>\n

Let ‘9x’ be the number of total journalists in the office. Then, we can say that the number of male and female journalists are ‘5x’ and ‘4x’ respectively.<\/p>\n

It is given that 30 percent of the male journalists and 40 percent of the female journalists are covering political news. Hence, total number of journalists who are covering political news = 0.3*5x + 0.4*4x = 3.1x<\/p>\n

Therefore, the total number\u00a0journalists who are covering sports news = 9x – 3.1x = 5.9x.<\/p>\n

Hence, the\u00a0percentage of the journalists in the newspaper is currently involved in sports reporting = $\\dfrac{5.9x}{9x}\\times 100$ $\\approx$ 65 percent. Therefore, option A is the correct answer.<\/p>\n

10)\u00a0Answer:\u00a020<\/b><\/p>\n

Let Arun’s current age be A. Hence, Barun’s current age is 2.5A
\nLet Arun’s age be half of Barun’s age after X years.
\nTherefore, 2*(X+A) = 2.5A + X
\nOr, X = 0.5A
\nHence, Barun’s age increased by 0.5A\/2.5A = 20%<\/p>\n

Download CAT Previous Papers PDF<\/a><\/p>\n

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We hope this Percentage Questions PDF for CAT with Solutions will be helpful to you.<\/p>\n","protected":false},"excerpt":{"rendered":"

CAT Level Questions on Percentage Download important CAT Level\u00a0 Questions on Percentage PDF based on previously asked questions in CAT exam. Practice Percentage Questions PDF for CAT exam. Download CAT Quant Questions PDF Take Free Mock Test for CAT Question 1:\u00a0Seema has joined a new Company after the completion of her B.Tech from a reputed […]<\/p>\n","protected":false},"author":42,"featured_media":36013,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3,169,125,350,362,366],"tags":[1713,2833,2566],"class_list":{"0":"post-36011","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"category-downloads","9":"category-featured","10":"category-iift","11":"category-snap","12":"category-xat","13":"tag-cat-2019","14":"tag-cat-level-questions-on-percentage","15":"tag-percentage-questions-for-cat"},"better_featured_image":{"id":36013,"alt_text":"CAT Level Questions on Percentage","caption":"CAT Level Questions on Percentage\n","description":"CAT Level Questions on 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