percentages Model Questions & Answers, Practice Test for ssc mts paper 1
If the numerator of a fraction is increased by 140% and the denominator is increased by 150%, the resultant fraction is $4/15$. What is the original fraction.
Answer: (c)
In a city, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?
Answer: (d)
Migrants = 35% of 728400
= $({35x}/100 × 728400)$ = 254940.
Local population = (728400 – 254940) = 473460
Rural population = 20% of 473460 = 94692.
Urban population = (254940 – 94692) = 160248.
∴ Female population = 48% of 473460 + 30% of 94692 + 40% of 160248
= $(48/100 × 473460 + 30/100 × 94692 + 40/100 × 160248)$
= 227260.8 + 28407.6 + 64099.2 = 896660.
(23.6% of 1254) – (16.6% of 834) = ?
Answer: (b)
? = (23.6% of 1254) – (16.6% of 834)
295.944 – 138.444 = 157.5
25% of 1078 + 182% of 668 = ?
Answer: (e)
? ≈ ${25 × 1080}/100 + {180 × 670}/100 ≈270+1206$
= 1476 ≈ 1475
In an examination, Raman scored 25 marks less than Rohit. Rohit scored 45 more marks than Sonia. Rohan scored 75 marks which is 10 more than Sonia. Ravi's score is 50 less than, maximum marks of the test. What approximate percentage of marks did Ravi score in the examination, if he gets 34 marks more than Raman?
Answer: (a)
Rohan's marks = 75
Sonia's marks = 65
Rohit's marks = 65 + 45 = 110
Raman's marks = 110 – 25 = 85
Ravi got marks = 85 + 34 = 119
Total maximum marks = 119 + 50 = 169
Percentage of Ravi's mark = $119/169 × 100%$ = 70.4% = 70%
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