model 3 reducing & exceeding prices 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 : 11 [SSC CGL Tier-1 2011]|||
A reduction of 20% in the price of an apple enables a man to buy 10 apples more for Rs.54. The reduced price of apples per dozen is
a) Rs.4.32
b) Rs.10.80
c) Rs.14.40
d) Rs.12.96
Answer »Answer: (d)
Let the original price of apples be Rs.x/ dozen
New price = Rs.${4x}/5$ /dozen
$54/{{4x}/5} - 54/x = 10/12$
$54(5/{4x} - 1/x) = 5/6$
$54({5 - 4}/{4x}) = 5/6$
$54/{4x} =5/6 ⇒ 4x = {54 × 6}/5$
${4x}/5 = {54 × 6}/{5 × 5}$ = Rs.12.96
Using Rule 31,
Reduced price = ${20 × 54}/{100 × 10/12}$
= $1080/1000 × 12$ = Rs.12.96 per kg
Question : 12
If the price of sugar increases by 20%, one can buy 2 kg less for Rs. 50. What is the amount of sugar that could be bought before price hike?
a) 10 kg.
b) 14 kg.
c) 16 kg.
d) 12 kg.
Answer »Answer: (d)
Let original price of sugar be Rs. x per kg.
New price= Rs.$({120x}/100) =Rs.({6x}/5)$per kg.
According to the question,
$50/x - 50/{{6x}/5} = 2$
$50/x - {50 × 5}/{6x} = 2$
$50/x - 125/{3x} = 2$
${150 – 125}/{3x} = 2$
$6x = 25 ⇒ x = Rs.25/6$ kg.
Required quantity of sugar = $50/x$
= $50/{25/6} = {50 × 6}/25 = 12$kg.
Question : 13
The price of an article is decreased by 10%. To restore it to its former value, the new price must be increased by :
a) 9$1/11$%
b) 11%
c) 11$1/9$%
d) 10%
Answer »Answer: (c)
Required percent
= $\text"Decrease%"/{100 - \text"Decrease%"}$ × 100
= $10/{100 - 10} × 100 = 100/9 = 11{1}/9%$
Question : 14
Due to an increase of 50% in the price of eggs, 4 eggs less are available for Rs.24. The present rate of eggs per dozen is :
a) Rs.24
b) Rs.36
c) Rs.42
d) Rs.27
Answer »Answer: (b)
The original price of 1 egg = Rs.x
Present price = Rs.$3/2x$
$24/x - 24/{{3x}/2} = 4$
$24/x(1 - 2/3) = 4$
$8/x = 4 ⇒ x = 2$
Present price of eggs per dozen
= $12 × 3/2 × 2 = Rs.36$
Using Rule 31,
New price = ${50 × 24}/{100 × {4/12}}$ = Rs.36
Question : 15
A reduction of 20% in the price of wheat enables Lalita to buy 5 kg more wheat for Rs.320. The original rate (in rupees per kg) of wheat was
a) 16
b) 20
c) 21
d) 18
Answer »Answer: (a)
Original price of wheat = Rs.x /kg.
New price of wheat = Rs.${4x}/5 /kg$
$320/{{4x}/5} - 320/x = 5$
$320(5/{4x} - 1/x) = 5$
$320({5 - 4}/{4x}) = 5$
$320/{4x} = 5 ⇒ x = 320/{4 × 5} = Rs.16$
Using Rule 31,
New price = ${20 × 320}/{100 × 5}$
= $1280/100$ = Rs.12.8
Let the original price be Rs.x per kg.
$x - {20x}/100 = 12.8$
80x = 12.8 × 100
$x = 1280/80 ⇒ x = 16$ per kg.
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model 3 reducing & exceeding prices Shortcuts »
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Click to Start..percentage Shortcuts and Techniques with Examples
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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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