# Percentage Questions With Explanations

### Question 1.

From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is:
(a) 40% Pure
(b) 50% Pure
(c) 51.2% Pure
(d) 58.8% Pure

### Question 2.

300 grams of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% of the solution?
(a) 10 gms
(b) 40 gms
(c) 60gms
(d) 80 gms

### Question 3.

The price of an article is out by 20%. to restore it to the former value, the new price must be increased by
(a) 20%
(b) 25%
(c) 16 2/3%
(d) 24%

### Question 4.

In an Examination, A got 10% maks less than B,B got 25% marks more than C and C got 20% less and D. If A got 360 marks out of 500, the percentage of marks obtained by D was:
(a) 70
(b) 80
(c) 75
(d) 85

### Question 5.

Arvind spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. His saving is increased by:
(a) 10%
(b) 25%
(c) 37 1/2%
(d) 50%

### Question 6.

The price of sugar is increased by 20%. As a result, a family decreases its consumption by 25%. The expenditure of the family on sugar will be decreased by:
(a) 10%
(b) 5%
(c) 14%
(d) 15%

### Question 7.

A building worth Rs. 133,100 is constructed on land worth Rs. 72,900. After how many years will the value of both be the same if land appreciates at 10% pa. and building depreciates at 10% pa.?
(a) 2.5
(b) 2
(c) 1.5
(d) 3

### Question 8.

Salaries of A, B and C are in the ratio 1:2:3. Salary of B and C together is Rs. 6000. By what percent is salary of C more than that of A?
(a) 300
(b) 600
(c) 100
(d) 200

### Question 9.

The length of a rectangle is increased by 60% By what percent would the width have to be decreased to maintain the same area?
(a) 37 1/2%
(b) 60%
(c) 75%
(d) None of these

### Question 10.

For a sphere of radius 10 cm, the numerical value of ty surface area is what percent of the numerical value of its volume?
(a) 24%
(b) 26.5%
(c) 30%
(d) 45%

### Question 11.

The difference between a discount of 35% and two successive discous discount of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.
(a) Rs. 3200
(b) Rs. 2200
(c) Rs. 1800
(d) None of these

### Question 12.

Two shopkeepers sell a radio or similar brand and type at the same list price of Rs. 1000. The first allows two successive discount of 20% and 10% and the second allows the successive discount of  15% and 15%. Find the difference in discounts offered by the two shopkeepers
(a)
Rs. 3.50
(b) Rs. 1.50
(c) Rs. 2.50
(d) None of these

### Question 13.

The tax on a commodity is diminished by 10% and its consumption increases by 10%. Find the effects on revenue
(a) 1%
(b) 2%
(c) 3%
(d) None of these

### Question 14.

The radius of a sphere is increased 10%. The surface area increases by
(a)
21%
(b) 31%
(c) 41%
(d) None of these

### Question 15.

If the side of a square is increased by 30%, its area is increased by
(a)
49%
(b) 69%
(c) 79%
(d) None of these

### Question 16.

In measuring the sides of a rectangle, one side is taken 10% in excess and the other 20% in deficit. Find the error percent in area calculated from the measurement
(a)
12% deficit
(b) 10% deficit
(c) 12% excess
(d) None of these

### Question 17.

Water tax is increased by 20% but itsconsumptiono is decreased by 20%. The increase or decrease in the expenditure is
(a) 4% decrease
(b) 4% increase
(c) 8% decrease
(d) 8% increase

### Question 18.

The population of a city increases at the rate of 10% annually. Its present population is 90.51 lacs. The population 3 years ago was nearly
(a)
72 lacs
(b) 68 lacs
(c) 80 lacs
(d) None of these

### Question 19.

The value of a machine is Rs. 6250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?
(a)
Rs. 2650
(b) Rs. 3050
(c) Rs. 3150
(d) None of these

### Question 20.

An army lost 10% its men in war, 10% of the remaining due to diseases and 10% of the rest were disabled. Thus, the strength was reduced to 729000 active men. Find the original strength.
(a)
1000000
(b) 1200000
(c) 1500000
(d) None of these

## Solutions

### Ans. 1 (C)

Let the total quantity of original milk= 1000gm.
Milk after first operation = 80% of 100= 800gm
Milk after second operation = 80% of 800= 840gm.
Milk after third operation = 80% of 640 = 512 gm
∴ Strength of final mixture = 51.2%

### Ans. 12. (c)

∴ Difference in discounts offered by the two shopkeepers
= Rs 280- Rs.277.50 = Rs 2.50.

### Ans. 20. (a)

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