percentage Model Questions & Answers, Practice Test for ssc cgl tier 2
In a housing society, 30 per cent of the residents are men over the age of 18 and 40 per cent are women over the age of 18. If there are 24 children living in the housing society, then how many total residents live ?
Answer: (a)
30% of the residents are children.
∴ 30% of the total residents = 24
∴ Total number of residents in the society
= $24/30 × 100 = 80$
Latika spends 45% of her monthly income on food and 30% of the monthly income on transport. Remaining amount Rs.4500 She saves. What is her monthly income?
Answer: (a)
Percentage of income saved
= 100 – (45 + 30) = 25%
∴ 25% of x = 4500
x = 4500 × $100/25$ = 18000
10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Answer: (a)
Let the total number of original inhabitants be x.
Then, (100 – 25)% of (100 –10)% of x = 4050
⇒ $(75/100 × 90/100 × x) = 4050$
⇒ $27/40x = 4050$
⇒ $x = ({4050 × 40}/27) = 6000.$
∴ Number of original inhabitants = 6000.
72% of the students of a certain class took Biology and 44% took Mathematics. If each student took Biology or Mathematics and 40 took both, the total number of students in the class was
Answer: (c)
Let the total number of students in the class be x.
Mathematics = ${72x}/100 - 40$
Biology = ${44x}/100 - 40$
Both = 40
${72x}/100 - 40 + 40 + {44x}/100 - 40 = x$
${72x}/100 + {44x}/100 - x = 40$
${(72 + 44 - 100)x}/100 = {16x}/100 = 40$
$x = {40 × 100}/16 = 250$
A person sold an article from Rs. 3600 and got a profit of 20%. Had he sold the article for Rs. 3150, how much profit would he have got?
Answer: (a)
Let the cost price of the article be Rs. x
After 20% profit
${120x}/100 = 3600$ ⇒ x = 3000
Now, profit percentage, when the article is sold for Rs.3150
= ${3150 - 3000}/3000 × 100 = 150/3000 × 100$ = 5%
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