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 : 6 [SSC CHSL 2010]|||
A reduction of 25% in the price of rice enables a person to buy 10 kg more rice for Rs.600. The reduced per kg price of rice is
a) Rs.30
b) Rs.20
c) Rs.15
d) Rs.25
Answer »Answer: (c)
Let original price of rice per kg = Rs.x (let)
New price of rice per kg = Rs.${3x}/4$
$600/{{3x}/4} - 600/x = 10$
$600(4/{3x} - 1/x) = 10$
$600({4 - 3}/{3x})$ = 10
$600/{3x} = 10 ⇒ x = 600/30 = Rs.20$
New price = ${3x}/4 = {3 × 20}/4$ = Rs.15/kg
Method 2: Simple Approach,
If the price of an article is reduced by a% and buyer gets c kg more for some Rs.b, the new price per kg of article = ${ab}/{100 × c}$
= ${25 × 600}/{100 × 10}$ = Rs.15
Using Rule 31,
Reduced price per kg = ${25 × 600}/{100 × 10}$ = Rs.15
Question : 7 [SSC SO 2006]|||
The Government reduced the price of sugar by 10 per cent. By this a consumer can buy 6.2 kg more sugar for Rs.837. The reduced price per kg of sugar is
a) Rs.12.50
b) Rs.13.50
c) Rs.14.00
d) Rs.13.00
Answer »Answer: (b)
10 percent of Rs.837
= $10/100 × 837$ = Rs.83.7
Reduced per kg price
= $83.7/6.2$ = Rs.13.50
Using Rule 31,
If the price of an article is reduced by a% and buyer gets c kg more for some Rs. b, the new price per kg of article = ${ab}/{100 × c}$
Reduced price per kg
= ${10 × 837}/{100 × 6.2}$ = Rs.13.50
Question : 8 [SSC CPO S.I.2009]|||
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
Question : 9
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 : 10 [SSC CGL Prelim 2008]|||
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
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model 3 reducing & exceeding prices Shortcuts »
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Click to Start..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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