model 2 net increase or decrease in % Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on percentage topic of quantitative aptitude

Questions : Two successive price increases of 10% and 10% of an article are equivalent to a single price increase of

(a) 20%

(b) 22%

(c) 21%

(d) 19%

The correct answers to the above question in:

Answer: (c)

Using Rule 7,

If a number is first increased by a% and then again increased by b%, then total increase per cent is $(a + b + {ab}/100)$%

Tricky approach

Single equivalent percentage increase in price

= $(10 + 10 + {10 × 10}/100)%$ = 21 %

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Read more net increase or decrease Based Quantitative Aptitude Questions and Answers

Question : 1

If a number is increased by 20% and the resulting number is again increased by 20%, what per cent is the total increase ?

a) 44%

b) 40%

c) 41%

d) 48%

Answer: (a)

Using Rule 7,

Effective percentage increase

= $(20 + 20 + {20 × 20}/100)%$= 44%

Question : 2

A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is

a) 400

b) 600

c) 500

d) 200

Answer: (c)

Effective percentage = $(-20 + 20 - {20 × 20}/100)$= - 4%

If the number be x, then 4% of x = 20

$x × 4/100 = 20$

$x = {20 × 100}/4 = 500$

Using Rule 3,

If an amount is increased by a% and then it is reduced by a% again, then percentage change will be a decrease of $a^2/100%$

Let the number be x

Decrease % = $20^2/100$ = 4%

x – 4% of x = x – 20

${4x}/100 = + 20 ⇒ x = 500$

Question : 3

The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is

a) 210

b) 300

c) 240

d) 280

Answer: (c)

Larger number = x and smaller number = 520 – x

${96x}/100 = {520 - x}/100 × 112$

96x = 520 × 112 – 112x

112x + 96x = 520 × 112

208x = 520 × 112

$x = {520 × 112}/208 = 280$

Smaller number = 520 – 280 = 240

Question : 4

If price of a book is first decreased by 25% and then increased by 20%, the net change in the price of the book will be

a) 5% decrease

b) 5% increase

c) no change

d) 10% decrease

Answer: (d)

The net change in price

= $(-25 +20 - {25 × 20}/100)$

= (–25 + 20 – 5)% = – 10%

Negative sign shows decrease.

Question : 5

A number is increased by 10% and then it is decreased by 10%. The net change in the number is

a) 2% decrease

b) 1% decrease

c) 1% increase

d) no increase or decrease

Answer: (b)

Using Rule 4,

Net change

= $(10 - 10 - {10 × 10}/100)%$

= –1% = 1% decrease

Question : 6

A number reduced by 25% becomes 225. What per cent should it be increased so that it becomes 375?

a) 30%

b) 75%

c) 35%

d) 25%

Answer: (d)

Clearly, 75% of the number = 225

Number = ${225 × 100}/75$ = 300

Again, 125% of 300 = 375

Hence, the number should be increased by 25%

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