model 11 percentage with ratios Practice Questions Answers Test with Solutions & More Shortcuts
percentage PRACTICE TEST [11 - EXERCISES]
model 1 simple percentage questions
model 2 net increase or decrease in %
model 3 reducing & exceeding prices
model 4 x & y comparison
model 5 income & expenditure
model 6 consumption & remaining
model 7 marks scored in examinations
Model 8 population based
model 9 voters & election
model 10 percentage with allegations & mixture
model 11 percentage with ratios
Question : 16 [SSC CGL 2012]
The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is
a) 56,800
b) 99,600
c) 48,900
d) 41,800
Answer »Answer: (c)
Women = $43/83 × 311250 = 161250$
Men = 311250 – 161250 = 150000
Total number of literate persons
=${161250 × 8}/100 + 150000 × 24/100$ = 12900 + 36000 = 48900
Question : 17
The expenses on rice, fish and oil of a family are in the ratio 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of family on these articles are increased by
a) 56$1/8$%
b) 28$1/8$%
c) 7$1/8$%
d) 14$1/8$%
Answer »Answer: (b)
Let the initial expenses on rice, fish and oil be Rs.12x, Rs.17x and Rs.3x respectively.
Total expenditure = Rs.(12x + 17x + 3x) = Rs.32 x
After increase,
Expenditure on rice = $120/100 ×12x = Rs.14.4x$
Expenditure on fish = $130/100 × 17x = Rs.22.1x$
Expenditure on oil = $150/100 × 3x = Rs.4.5x$
Total expenditure =Rs.(14.4 x + 22.1x + 4.5 x) =Rs.41 x
Increase = Rs.(41x – 32x) = Rs.9x
Percentage increase =${9x}/{32x} × 100 =225/8 = 28{1}/8$%
Question : 18
The ratio of syrup and water in a mixture is 3 : 1, then the percentage of syrup in this mixture is :
a) 66$2/3$%
b) 33$1/3$%
c) 25%
d) 75%
Answer »Answer: (d)
Percentage of syrup = $3/4$ × 100 = 75%
Question : 19 [SSC CGL Prelim 2000]
If 10% of m is the same as 20% of n, then m : n is equal to :
a) 1 : 10
b) 1 : 20
c) 1 : 2
d) 2 : 1
Answer »Answer: (d)
10% of m = 20% of n
$10/100 × m = 20/100 × n$
$m/n = 10/5 = 2/1$
m : n = 2 : 1
Question : 20 [SSC CHSL 2014]
In what ratio must 25% hydrochloric acid be mixed with 60% hydrochloric acid to get a mixture of 40% hydrochloric acid ?
a) 3 : 4
b) 12 : 5
c) 4 : 3
d) 5 : 12
Answer »Answer: (a)
Required ratio = 15 : 20 = 3 : 4
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model 11 percentage with ratios Shortcuts »
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model 1 simple percentage questions
Defination & Shortcuts … -
model 2 net increase or decrease in %
Defination & Shortcuts … -
model 3 reducing & exceeding prices
Defination & Shortcuts … -
model 4 x & y comparison
Defination & Shortcuts … -
model 5 income & expenditure
Defination & Shortcuts … -
model 6 consumption & remaining
Defination & Shortcuts … -
model 7 marks scored in examinations
Defination & Shortcuts … -
Model 8 population based
Defination & Shortcuts … -
model 9 voters & election
Defination & Shortcuts … -
model 10 percentage with allegations & mixture
Defination & Shortcuts … -
model 11 percentage with ratios
Defination & Shortcuts …
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