model 3 reducing & exceeding prices Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on percentage topic of quantitative aptitude
(a) Rs.4.32
(b) Rs.10.80
(c) Rs.14.40
(d) Rs.12.96
The correct answers to the above question in:
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
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Read more reducing exceeding prices Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for Rs.36. The original price of the sugar per kilogram was
a) Rs.14.40
b) Rs.15.60
c) Rs.16.50
d) Rs.18
Answer »Answer: (d)
Let the original price of sugar = Rs.x /kg.
Reduced price of sugar = 80% of x
= ${x × 80}/100 = Rs.{4x}/5$kg
$36/{{4x}/5} - 36/x = 1/2$
$45/x - 36/x = 1/2$
$9/x = 1/2$ ⇒ x = 9 × 2 = Rs.18/Kg
Using Rule 31,
New price = ${20 × 36}/{100 × 500/100}$ = Rs.14.4
Let the original price be Rs x A.T.Q.
$x - {20x}/100$ = 14.4
${80x}/100$ = 14.4
$x = 144/8$ ⇒ x =18
∴ Original price = Rs.18
Question : 5
When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs.270. Then the original price of sugar per kg is
a) Rs.25
b) Rs.27
c) Rs.32
d) Rs.30
Answer »Answer: (d)
Let the original price of sugar be Rs.x/kg.
New price = Rs.${9x}/10$ /kg
$270/{{9x}/10} - 270/x =1$
$300/x - 270/x = 1 ⇒ 30/x = 1$ ⇒ x = Rs.30 /kg
Using Rule 31,
New price = ${10 × 270}/{100 × 1}$ = Rs.27
Let the original price be Rs. x
$x - {10x}/100 = 27 ⇒ {90x}/100 = 27$
$x = 2700/90$ ⇒ x = 30
∴ Original price = Rs.30 per kg.
Question : 6
A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg more for Rs.1116. The reduced price per kg is
a) Rs.12
b) Rs.16
c) Rs.18
d) Rs.14
Answer »Answer: (c)
Reduced price of 6.2kg of sugar
= 10% of Rs.1116 = Rs.111.6
Reduced price per kg
= Rs.$(111.6/6.2)$ = Rs.18
Using Rule 31,
New price = ${10 × 1116}/{100 × 6.2}$
= $1116/62$ = Rs.18
GET percentage PRACTICE TEST 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
percentage Shortcuts and Techniques with Examples
-
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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