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- Question 1 of 20
##### 1. Question

In a shipment of 120 machine parts, 5 per cent were defective. In an another shipment of 80 machine parts, 10 per cent were also defective. For the two shipments combined, what per cent of the machine parts were defective?

##### Hint

Total no. of machine parts in both the shipments

= (120 + 80) = 200

Total defective machine parts in both the shipments

= 120 × 5% + 80 × 10%

= 6 + 8 = 14

Therefore, required %

=

- Question 2 of 20
##### 2. Question

An inspector rejects 0.08% of the metres as defective. How many metres will he examine to reject 2 metres?

##### Hint

Let the inspector examined x metres,

then 0.08% of x = 2

⇒

⇒ metres

- Question 3 of 20
##### 3. Question

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of total valid votes. Find the total number of votes enrolled in that election.

##### Hint

Let the total number of votes enrolled be x. Then,

Number of votes cast = 75% of x. Valid votes = 98% of (75% of x).

∴ 75% of [98% of (75% of x)]

= 9261

- Question 4 of 20
##### 4. Question

A screw driver and a hammer currently have the same price. If the price of a screw driver rises by 5% and the price of hammer goes up by 3%, then how much more will it cost to buy 3 screw drivers and 3 hammers?

##### Hint

Let the original price of a screw driver and a hammer be Rs 100 each.

Then, price of 3 screw drivers and 3 hammers = Rs 600

Now, after increase of 5%, the price of 3 screw drivers = Rs 315

And after 3% increase the price of 3 hammers = Rs 309

Increased price of 3 hammers and 3 screw drivers = Rs 624

Therefore, % increase in price

=

- Question 5 of 20
##### 5. Question

A company bought a total of 60 computers and 20 printers to modernise billing operations. If the price of each computer was three times the price of each printer then what per cent of the total cost of the purchase was the total cost of the printers?

##### Hint

Suppose price of the printer = P

∴ Price of a computer = 3P

Total cost of 60 computers = 180 P

Total cost of 20 printers = 20 P

∴ Total cost of the purchase = 200 P

Thus total cost of the printers is 10% of the total cost.

- Question 6 of 20
##### 6. Question

What is the total number of candidates at an examination, if 31% fail, and the number of those who pass exceeds the number of those who fail by 247?

##### Hint

Let the total number of candidates = x

Then, number of passed candidates

= (100 – 31)% of x = 69% of x

Now, 69 % of x – 31% of x = 247

⇒ 38% of x = 247

⇒

- Question 7 of 20
##### 7. Question

In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 15,000 votes. What is the number of votes polled by the winning candidate?

##### Hint

Let the total number of votes be x

∴ votes polled by winning candidate

= (100 – 30)% of x = 70% of x

Now, 70% of x – 30% of x = 15,000

⇒ 40% of x = 15,000

⇒

∴ number of votes polled by winning candidate

= 70% of 37500

- Question 8 of 20
##### 8. Question

The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. What was the number of males in the village?

##### Hint

Let the number of males be x. Then,

number of females = (5000 – x).

∴ 10% of x + 15% of (5000 – x)

= (5600 –5000)

⇒ 10x + 7500 – 15x = 60000

⇒ 5x = 1500

⇒ x = 3000

- Question 9 of 20
##### 9. Question

A store raised the price of an item by exactly 10 per cent. Which of the following could not be the resulting price of the item?

##### Hint

5 + 10% = 5.50

10 + 10% = 11

11 + 10% = 12.10

- Question 10 of 20
##### 10. Question

10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.

##### Hint

Let the total number of original inhabitants be x. Then,

(100 – 25)% of (100 –10)% of x

= 4050

∴ Number of original inhabitants

= 6000.

- Question 11 of 20
##### 11. Question

Chunilal invests 65% in machinery, 20% in raw material and still has Rs 1,305 cash with him. Find his total investment.

##### Hint

Let he had originally Rs x. Then

65% of x + 20 % of x + 1305 = x

0.65x + 0.2 x + 1305 = x

⇒ 0.15 x = 1305

⇒ x = Rs 8700

∴ His total investment

= 65% of 8700 + 20% of 8700

= 85% of 8700 = Rs 7395

- Question 12 of 20
##### 12. Question

When the price of a pressure cooker was increased by 15%, the sale of pressure cookers decreased by 15%. What was the net effect on the sales?

##### Hint

Net effect on sale

= –

- Question 13 of 20
##### 13. Question

When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale?

##### Hint

Let the original price be x and sale be of y units.

Then, the revenue collected initially = x × y

Now, new price

= 0.8x, new sale = 1.8 y

Then, new revenue collected

= 1.44xy

% increase in revenue

=

= 44% increase

- Question 14 of 20
##### 14. Question

When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.

##### Hint

Since, expenditure = price × consumption

∴ 110% of 30

⇒

⇒ New consumption = 25 kg

- Question 15 of 20
##### 15. Question

If 10 % of an electricity bill is deducted, Rs 45 is still to be paid. How much was the bill?

##### Hint

Let the bill be Rs x. Then

90% of x = 45

⇒

- Question 16 of 20
##### 16. Question

There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 9,100 milk chocolates per month, what was it one month ago?

##### Hint

Let one month ago, production be x chocolates.

Then, 130 % of x = 9100

- Question 17 of 20
##### 17. Question

In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was

##### Hint

Let total number of votes polled be x.

Then, votes polled by other candidate

= (100 – 40)% of x = 60% of x

Now 60% of x – 40% of x = 160

⇒

- Question 18 of 20
##### 18. Question

A scooter costs Rs 25, 000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?

##### Hint

After first year, the value of the scooter

= Rs 20,000

After second year, the value of scooter = Rs 16,000

After third year, the value of scooter = Rs 12,800

- Question 19 of 20
##### 19. Question

A number is increased by 12% and then reduced by 10%. After these operations, the number :

##### Hint

Let the original number be 100.

Then, the new number

= 100 × 1.12 × 0.9 = 100.8

i.e. the number decreases by 1%.

- Question 20 of 20
##### 20. Question

If the price of sugar is increased by 7%, then by how much per cent should a housewife reduce her consumption of sugar, to have no extra expenditure?

##### Hint

% reduction in consumption