percentages Model Questions & Answers, Practice Test for ssc chsl tier 1
Shilpa spent 8% on school fees, 25% on rent and 17% on furniture. 25% of the remaining amount was spent on medical bills and the remaining Rs. 6,000 was set aside for investment. How much money did she spend on rent ?
Answer: (b)
Let the income of Shilpa be = Rs. x
$[x - {(8 + 25 + 17)x}/100](1 - 25/100) = 6000$
${50x}/100 × 75/100 = 6000$
$x = {6000 × 100 × 100}/{50 × 75} = 16,000$
Expenditure on rent = 16000 × $25/100$ = Rs. 4000
if the radius of the base and the height of a right circular cone are increased by 20%, then what is the approximate percentage increase in volume?
Answer: (c)
Change in volume
= $x + y + z + {xy + yz + zx}/100 + {xyz}/10000$
Here, x = y = z = 20%
Change in volume
= $20 + 20 + 20 + {20 × 20 + 20 × 20 + 20 × 20}/100 + {20 × 20 × 20}/10000$
= $60 + 1200/100 + 8/10 = 72.8 ≈ 73%$
A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water 12.5% of the resulting mixture?
Answer: (c)
Let the required quantity of water = x litres
According to the questions,
$70 × 10/100 + x = (70 + x) × 12.5/100$
⇒ x = 2
58% of 960 – ? % of 635 = 277.4
Answer: (c)
960 × $58/100 - {635 × ?}/100 = 277.4$
960 × 58 – 635 × ? = 277.4×100
55680 – 635 × ? = 27740
635 × ? = 55680 – 27740 = 27940
? = $27940/635$ = 44
A student X passes his examination with 515 marks, having scored 3% above the minimum. If Y had obtained 710 marks, what % would have been above the minimum ?
Answer: (a)
∵ $\text"Marks of y"/\text"Marks of x" = {100 + %\text"above minimum of y"}/{100 + % \text"above minimum of x"}$
⇒ $710/515 = {100 + y}/103$
⇒ $100 + y = {710 × 103}/515 = 142$
⇒ y = 42%
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