Mathematics - Comparing Quantities
Exam Duration: 45 Mins Total Questions : 25
When the price of a product was decreased by 10%, the number of products sold increased by 30%. What was the increase on the total revenue?
- (a)
23%
- (b)
16\(\frac{2}{3}\)%
- (c)
15%
- (d)
17%
If a number x is 10% less than the another number y and y is 10% more than 125, then x is equal to _____
- (a)
123.75
- (b)
140.55
- (c)
143
- (d)
150
If 23% of 8 is 46, then find 8.
- (a)
150
- (b)
200
- (c)
20
- (d)
300
A number is increased by 10% and then it is decreased by 10%. Find the net increase or decrease percent.
- (a)
Decrease by 1%
- (b)
Decrease by 10%
- (c)
Increase by 2%
- (d)
Increase by 11%
If S.P. of an article is \(\frac{4}{3}\) of its C.P., then the profit % in the transaction is ______
- (a)
\(\frac{1}{3}\)%
- (b)
20\(\frac{1}{2}\)%
- (c)
33\(\frac{1}{3}\)%
- (d)
25\(\frac{1}{2}\)%
If 30% of 140 = x% of 840, then the value of x is ______
- (a)
5
- (b)
15
- (c)
24
- (d)
60
x is 5% of y, y is 24% of z. If x = 480, find the values of y and z respectively.
- (a)
9500, 40000
- (b)
9600, 40000
- (c)
9800, 50000
- (d)
9600, 50000
If 12.5% of 192 = 50% of x, then x =
- (a)
45
- (b)
25
- (c)
48
- (d)
92
The simple interest at x % for x years will be Rs x on a sum of ______
- (a)
Rs x
- (b)
Rs 100x
- (c)
Rs \(\left( \frac { 100 }{ x } \right) \).
- (d)
Rs \(\left( \frac { 100 }{ x^{ 2 } } \right) \).
Simple interest on a certain amount is \(\frac{9}{16}\) of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then time for which the principal is lent out, is ________
- (a)
5\(\frac{1}{2}\) years
- (b)
6\(\frac{1}{2}\) years
- (c)
7 years
- (d)
7\(\frac{1}{2}\) years
A watch worth Rs 5400 is offered for sale at Rs 4500. What percent discount is offered during the sale?
- (a)
50/3
- (b)
49/3
- (c)
25/3
- (d)
34/3
The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
- (a)
9,00,000
- (b)
5,00,000
- (c)
6,00,000
- (d)
7,00,000
Monika purchased a pressure cooker at \(\left( \frac { 9 }{ 10 } \right) ^{ th }\) of its selling price and sold it at 8% more than than its S.P. Find her gain percent.
- (a)
20%
- (b)
10%
- (c)
30%
- (d)
40%
Sam invested Rs 15000 at 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be
- (a)
Rs 16500
- (b)
Rs 16525.50
- (c)
Rs 16537.50
- (d)
Rs 18150
A real estate agent receives Rs 50,000 as commission, which is 4% of the selling price. At what price does the agent sell the property?
- (a)
Rs 1250000
- (b)
Rs 1025000
- (c)
Rs 1125000
- (d)
Rs 1450000
Abha purchased a house from Avas Parishad credit. If the cost of the house is Rs 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one and a half year.
- (a)
4900
- (b)
Rs 4921
- (c)
Rs 4810
- (d)
Rs 4700
Select the incorrect match.
- (a)
Principal(In Rs) Rate %(p.a) Time (in years) C.I. (In Rs) 1000 5% 3 157.63 - (b)
Principal(In Rs) Rate %(p.a) Time (in years) C.I. (In Rs) 360 20% 2 158.40 - (c)
Principal(In Rs) Rate %(p.a) Time (in years) C.I. (In Rs) 3000 10% 3 939 - (d)
Principal(In Rs) Rate %(p.a) Time (in years) C.I. (In Rs) 72000 6% 3 13753.15
Pankaj borrowed Rs 8000 for 2 year at 15% per annum. Calculate the amount, if interest is
(i) compounded annually
(ii) compounded half yearly
- (a)
(i) (ii) Rs 10550 Rs 11883.2 - (b)
(i) (ii) Rs 10090 Rs 12432.75 - (c)
(i) (ii) Rs 10580 Rs 10502.50 - (d)
(i) (ii) Rs 10580 Rs 10683.75
The difference between the compound interest and simple interest on a certain sum of money at 10% per annum for 2 years us Rs 500. Find the sum when the interest compounded annually.
- (a)
Rs 50000
- (b)
Rs 55000
- (c)
Rs 40000
- (d)
Rs 65000
State 'T' for true and 'F' for false.
(i) A shopkeeper bought a cycle for Rs 1200 and sold it for Rs 1500, then his gain percentage is 25%
(ii) 200 kg of sugar was purchased at the rate of Rs 15 per kg and sold at a profit of 5%. Then selling price of sugar is Rs per kg.
(iii) A person sells an article for Rs 550 and gain \(\left( \frac { 1 }{ 10 } \right) ^{ th }\) of the cost price. Then the gain percent is 11%.
(iv) The cost price of a dinning table is Rs 1500 and its marked price is Rs 1800. If a shopkeeper sells it at a loss of 8% then the discount offered by him is 23\(\frac{1}{3}\) .
- (a)
(i) (ii) (iii) (iv) T T F T - (b)
(i) (ii) (iii) (iv) F F T F - (c)
(i) (ii) (iii) (iv) T F F T - (d)
(i) (ii) (iii) (iv) F F T T
Match the following:
Column-I | Column-II |
Gun power contains 75% nitre and 10% sulphur. The rest of it is charcoal. The amount of charcoal in 9 kg of gun powder (in kg) is |
1.5 |
(ii) A cycle merchant allows 25% discount on the marked price of the cycle and still makes a profit of 20% If he gains Rs 360 over the sale of one cycle, the marked price of the cycle (in Rs ) is |
1.35 |
(iii) Time (in years) in which Rs 64000 will amount of Rs 68921 at 5% p.a. interest being compounded semi-annually is |
2880 |
- (a)
(i)⟶(c), (ii)⟶(b), (iii)⟶(a)
- (b)
(i)⟶(b), (ii)⟶(a), (iii)⟶(c)
- (c)
(i)⟶(b), (ii)⟶(c), (iii)⟶(a)
- (d)
(i)⟶(c), (ii)⟶(a), (iii)⟶(b)
A grocer purchased 80 kg of sugar at Rs 13.50 kg and mixed it with 120 kg of sugar of cost Rs 16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?
- (a)
Rs 15.30
- (b)
Rs 19.18
- (c)
Rs 17.40
- (d)
Rs 18.66
A milkman sold two of his buffaloes for Rs 20000 each. On one he made a gain of 5% and on the other a loss of 10% Find his overall gain or loss.
- (a)
Loss of Rs 1269.84
- (b)
Gain of Rs 4268.84
- (c)
Gain of Rs 1269.84
- (d)
Loss Rs 1200
A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs 25.75 then what would have been the percentage of profit or loss?
- (a)
Loss, 3%
- (b)
Profit, 2%
- (c)
Profit, 3%
- (d)
Loss, 2%
The cost of a vechicle is Rs 175000. If its value depreciates at the rate of 20% per annum then the total depreciation after 3 years was _______
- (a)
Rs 86400
- (b)
Rs 82500
- (c)
Rs 84500
- (d)
Rs 85400