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

Questions : In 2001, the price of a building was 80% of its original price. In 2002, the price was 60% of its original price. By what percent did the price decrease ?

(a) 15%

(b) 25%

(c) 30%

(d) 20%

The correct answers to the above question in:

Answer: (b)

Original price of building = Rs. 100 (let)

Its price in 2001 = Rs. 80

Its price in 2002 = Rs. 60

Required percentage decrease = $({80 - 60}/80) × 100$

= $200/8 = 25%$

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Read more reducing exceeding prices Based Quantitative Aptitude Questions and Answers

Question : 1

The price of rice has increased by 60%. In order to restore the original price, the new price must be reduced by

a) 33$1/3$%

b) 40%

c) 45%

d) 37$1/2$%

Answer: (d)

Required percent = $x/{100 + x} × 100$

where x = 60%

= $60/160 × 100 = 75/2 = 37{1}/2$%

Question : 2

A reduction of 21% in the price of an item enables a person to buy 3 kg more for Rs.100. The reduced price of item per kg is

a) Rs.5.50

b) Rs.10.50

c) Rs.7.00

d) Rs.7.50

Answer: (c)

Original price of article = Rs.x per kg.

New price = Rs.${79x}/100$ per kg

$100/{{79x}/100} - 100/x = 3$

$10000/{79x} - 100/x = 3$

${10000 - 7900}/{79x} = 3$

$2100/{79x} = 3$

$700/{79x} = 1$

$79x = 700 ⇒ x = 700/79$

New price

= ${79x}/100 = 79/100 × 700/79$ = Rs.7 per kg

Using Rule 31,

Reduced price per kg. = ${21 × 100}/{100 × 3}$ = Rs.7

Question : 3

A reduction in the price of apples enables a person to purchase 3 apples for Rs.1 instead of Rs.1.25. What is the % of reduction in price (approximately) ?

a) 20%

b) 30%

c) 33$1/3$%

d) 25%

Answer: (a)

Using Rule 1,

If x is reduced to x0 , then, Reduce % = ${x – x_0}/x × 100$

Percentage decrease = $0.25/1.25 × 100 = 20%$

Question : 4

Due to an increase of 20% in the price of eggs, 2 eggs less are available for Rs.24. The present rate of eggs per dozen is :

a) Rs.25.00

b) Rs.27.80

c) Rs.28.80

d) Rs.26.20

Answer: (c)

Original rate = Rs.x per egg

New rate = Rs.${6x}/5$ per egg

$24/x - {24 × 5}/{6x} = 2$

$24/x - 20/x = 2$

$4/x = 2 ⇒ x = 2$

New rate = Rs.$12/5$ per egg.

Rate per dozen of eggs

= Rs.$(12/5 × 12)$ = Rs.28.80

Using Rule 31,

New price/present price

= ${20 × 24}/{100 × {2/12}}$ = Rs.28.80

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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
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