percentages Model Questions & Answers, Practice Test for ssc mts paper 1
Rakesh got 273 marks in an examination and scored 5% more than the pass %. If Lokesh got 312 marks, then by what % above the pass mark did he pass the examination?
Answer: (b)
Let passing marks be represented by p.
p × 1.05 = 273
p = 260
Lokesh passing % = ${312 - 260}/260$ × 100 = 20%
The difference between 42% of a number and 35% of the same number is 110.6. What is 60% of that number?
Answer: (a)
According to the question,
(42 – 35)% of number = 110.6
or, Number = ${110.6 × 100}/7 = 1580$
60% of 1580 = ${1580 × 60}/100 = 948$
A person bought two articles X and Y from a departmental store. The sum of prices before sales tax was ‘ 130. There was no sales tax on the article X and 9% sales tax on the article Y. The total amount the person paid, including the sales tax was Rs.136.75. What was the price of the article Y before sales tax?
Answer: (b)
ATQ
Let cost of X = x
Then, cost of Y = 130 – x
Now,
$x + (130 – x) 109/100 = 136.75$
100x + 14170 – 109x = 13675
9x = 495 ⇒ x = 55
Thus, rate of article y = (130 – x)
= 130 – 55 = Rs. 75
The radius of the base of a right circular cone is increased by 15% keeping the height fixed. The volume of the cone will be increased by
Answer: (c)
$x + y + {xy}/100$
= $15 + 15 + {15 × 15}/100$
= $30 + 225/100$ = 32. 25%
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