வெல்லுங்கள் CSAT 2025 - 9: Q and A on Percentage

Questions & Answers (Multiple Choice) - PERCENTAGE
கொள்குறி வினா- விடைகள் - விழுக்காடு

1. Raju's Science test has 200 questions each question carries equal marks of one each. In physics 30%, chemIstry 30% and biology contains the rest of the questions. He answerd correctly 70% in physics, in Chemistry 60% and 50% in biology. Pass marks is overall 60%. How many more questions has he to answer correctly to clear the test?
a. 1 b. 2 c. 3 d. 4

2. The total salary of two persons A and B are the same. But A gets 125% of allowances of basic pay while B gets 175% of allowances of basic pay. Assume that no other allowance is paid to both. What is the ratio of basic pays of A and B?
a. 5 : 7 b. 7 : 5
c. 11 : 9 d. 9 : 11

3. Two numbers x and y are respectively 25% and 40% less than the third number z. How much % of y is less than x?
a. 20 b. 15 c. 35 d. 25

4. A person allows 20% discount for an article for cash payment. He still gets 25% profit. If the cost price is ₹ 704, then find the marked price of the article.
a. ₹1200 b. ₹900
c. ₹1000 d. ₹1100

5. A single discount equivalent to three successive discounts of 10%, 20% and 30% is
a. 60 b. 42.6 c. 48 d. 54

6. In an election between two candidates A and B, B won by margin 2880 votes whereas A got 44% votes polled. No polled vote is invalid. Find the number of votes polled in the election.
a. 12000 b. 44000
c. 24000 d. 28800

7. When 75 is subtracted from 75% of an number to give 75, then 60% of the number is
a. 200 b. 75 c. 150 d. 120

8. If price of coffee is increased by 25%, then how much percentage the consumption of coffee to be reduced to maintain the same expenditure for coffee?
a. 10 b. 20 c. 15 d. 0.8

9. What is 20% of 40% of 80% of 80000?
a. 5120 b. 25600
c. 12800 d. 10240

10. A man bought 11 dozen eggs at ₹60 per dozen. One dozen eggs are rotten. He sold good eggs at the price of ₹ 6 per egg. How much profit did he get in this business?
a. ₹40 b. ₹50
c. ₹60 d. ₹80

11. The price of an article was first decreased by 30% and then increased by 20% and again increased by 20%. Now how much % increase from the original price?
a. 10 b. 14 c. 2 d. 0.8

12. The profit percentage is equal to the the cost price of an article. If the selling price is ₹56, find the amount of profit.
a. ₹40 b. ₹16 c. ₹18 d. ₹22

13. Two students appeared an entrance examination. One of them scored 14 marks more than the other and his marks was 64% of the sum of their marks.The marks obtained by them are
a. 18, 32 b. 20, 34
c. 17, 31 d. 16, 30

14. In a chess tournament, out of 500 participants, 4% wear jeans pant and full shirt. Of the remaining, 25% wear jeans pant and T-shirts and the rest wear ordinary pant and half shirts. How many participants don't wear a jeans pant?
a. 355 b. 350 c. 360 d. 375

15. In an Indian State, during a certain plan, out of total budget of ₹2100 crores had spent 31% on industry, 32% on Agriculture, 9% on Social welfare and 11% on energy. ₹156 crores on transport and the balance amount on Education. The amount spent in crores on Education was
a. 355 b. 201 c. 156 d. 257

Answers
1. b 2. c 3. a 4.d 5. b

6. c 7. d 8. b 9. a 10. c

11. d 12. b 13. a 14. c 15. b

1. Number of questions
Physics 60 ; Chemistry 60 ; Biology 80
Maximum marks = 60+60+80 = 200.
Marks scored
(one mark for each question)
Phy 42 che 36 Bio 40
Toal marks scored 118
To get pass mark he has to score 120 marks.
So 2 more questions he has to answer to clear the test.

2. Let A and B be the basic pays of A and B respectively. By problem
225% of A = 275% of B
So A/ B = 275/225 = 11/ 9
Required ratio is 11 : 9

3. Let the number z be 100
So x = 75 y = 60
Here (75 - 60)/(75) × 100 = (1/5)×100
= 20.
Hence y is 20% less than x.

4. Let the marked price be ₹ 100.
After discount selling price is ₹ 80
Since he gets 25% profit , the selling price must be ₹125 if cost price is ₹100.
But cost price is ₹ 704
Marked price
= 704 × (125/100)×(100/80)
= 704×(25/16) = 44×25 = 1100
Hence the marked price is ₹ 1100.

5. Single discount equivalent to two successive discounts of 10% and 20% is
x + y - (xy)/100
= 10 + 20 - (10×20)/100 = 18.

So Single discount equivalent to two successive discounts of 18% and 30% is
18 + 30 - (18×30)/100 = 48 - 5.4 = 42.6

6. A got 44% votes means B got 56% votes polled.
Difference between A and B in percentage is 56 - 44 = 12

Here 12% of total votes polled is 2880.
So the total number of votes polled is
(2880/12)×100 = 24000.

7. Let the number be 'x'
Here (3/4)x - 75 = 75
-> x = 200
Hence 200×60÷100 = 120.

8. We can use {(x)/(100+x)} × 100 if increase is given decrease is asked.
Here [25/(100+25)] × 100 = 20%

We can use {(x)/(100-x)} × 100 if decrease is given increase is asked.

9. (20/100)×(40/100)×(80/100)
×80000 = 5120
80% of 80000 = 64000
40% of 64000 = 25600
20% of 25600 = 5120

10. Cost price = 11×60 = ₹660
Good eggs = 11 - 1 = 10 dozen
Selling price = 6 ×10×12 = ₹ 720
Profit = ₹720 - ₹660 = ₹ 60.

11. Net decrease after 30% decrease and 20% increase is
- 30 + 20 + (-30)(20) = -16
Then after 20% increase, the net increase
= - 16 + 20 + (-16)(20) = +0.8
Aliter :
100 - 30 = 70
70 + 20% of 70 = 70 +14 = 84
84 + 20% of 84 = 84 + 16.8
= 100.8 -> 0.8% increase.

12. Let x be the cost price.
100x + x^2 = 5600 ->
x^2 + 100x - 5600 = 0 ->
(x+140)(x-40) = 0 ->
-> x =40
Profit = 56 - 40 = ₹16.

13. Let the marks be m and m+14
Here m + 14 = (64/100)(m+m+14)
-> 25(m + 14) = 16(2m + 14)
-> 7m = 9×14
-> m = 18 and m + 14 = 32

14. Number of participants wear jeans pant
= 500×(4/100) =20
Remaining Number of participants
= 500 - 20 = 480

Percentage of participants not wear jeans pant = 100 - 25 = 75

So Number of participants not wear jeans pant
480×(75/100) = 360.

15. The % of amount spent on industry, agriculture, social welfare and energy is = 31 + 32 + 9 +11 = 83
The remaining amount
= 2100×{1 - (83/100)} = 357
Subtract the amount ₹156 crores spent on transport, we get the amount spent on education
i.e., 357 - 156 = ₹ 201 crores.

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