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# PERCENTAGE & RATIO PROPORTION SET10

Q.1 In a military camp, the food available is enough for 500 soldiers for 10 days. If 300 soldiers are sent to another camp, how long will the available food last?
A) 15 days
B) 18 days
C) 20 days
D) 25 days
Ans. D

500 Soldiers can eat food for 10 days
1 Soldier can eat food for 5000 days
200 Soldier can eat food for days = 25 days

Q.2 A man loses 12 1/2% of his money. He spends 70% of the remaining and is still left with \$210. How much money did he have initially?
A) \$357
B) \$443
C) \$800
D) None of these
Ans. C

Let total amount = \$x
Lost amount = =
Remaining amount = x – x = x

According to question
= 210
x = \$800

Directions : The following questions are based on the given information:
a) Candidates appeared 10,500
b) Passed in all five subjects 5,685
c) Passed in three subjects only 1,498
d) Passed in two subjects only 1,250
e) Passed in one subject only 835
f) Failed in English only 78
g) Failed in Maths only 275
h) Failed in Physics only 149
i) Failed in Chemistry only 147
j) Failed in Biology only 221

Q.3 How many candidates failed in all three subjects?

A) 4,815

B) 3317

C) 2,687

D) 362

Ans. D

Candidates failed in all three subjects=
=(Candidate appeared) – (Candidate passed in one, two, three or five subjects+ Candidates failed in any subject)
= 10,500-(5,685 + 1,498 + 1,250 + 835 + 78+ 275 + 149 + 221)
=362

Q.4 How many candidates passed in at least four subjects?

A) 6,555

B) 5,685

C) 1,705

D) 870

Ans. A

Candidate passed in at least four subjects
=( Candidate passed in four subjects + Candidate passed in all five subjects)
=(78+ 275 + 149 + 147 + 221) + 5,685
=6,555

Q.5 How many candidates failed because of having failed in four or less subjects?

A) 4,815

B) 4,453

C) 3,618

D) 2,368

Ans. B
Candidates failed in four or less subjects
= (Candidates failed in only one subject) + (Candidates failed in only two subjects) + (Candidates failed in only three subjects) + (Candidates failed in only four subjects)
= ( 78 + 275 + 149 + 147 + 221) + (1,498 + 1,250 + 835)
=4,453