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OTI365 - NTSE - X Standard
NTSE SAT Mathematics - Commercial Mathematics Practice Questions

NTSE SAT Mathematics - Commercial Mathematics

Exam Duration: 45 Mins Total Questions : 30

1 )

The salary of a person was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?

(a)
\(10\frac { 1 }{ 9 } \)%
(b)
\(11\frac { 1 }{ 9 } \)%
(c)
\(12\frac { 1 }{ 9 } \)%
(d)
none of these

2 )

When the price of a product was decreased by 10%, the number sold increased by 30% what was the effect on total revenue?

(a)
15%
(b)
16%
(c)
17%
(d)
none of these

3 )

The population of a town is 1,76,400. If it increases at the rate of 5%per annum, what will be its population 2 years hence? What was it 2 years ago?

(a)
184481,150000
(b)
194481,160000
(c)
174481,160000
(d)
none of these

4 )

The value of a machine depreciates at the rate of 10% per annum.If its present value is Rs.1,62,000, what will be its worth after 2 years? What was the value of the machine 2 years ago?

(a)
121220,200000
(b)
131220,200000
(c)
151220,20000
(d)
none of these

5 )

In an examination,35%oftotal students failed in Hindi, 45%failed in English and 20% in both. Find the percentage of those who passed in both the subjects

(a)
60%
(b)
40%
(c)
50%
(d)
none of these

6 )

A man sold two flats for Rs. 6,75,958 each. On one he gains 16%while on the other he loses 16%. How much does he gain or lose in the whole transaction?

(a)
1.56%
(b)
2.56%
(c)
3.26%
(d)
none of the above

7 )

An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the market price. What is his actual profit 'on the sales?

(a)
11.50%
(b)
12.50%
(c)
10.50%
(d)
none of these

8 )

Prakash purchased a machine for Rs.80,000 and spent Rs.5000 on repair, Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine?

(a)
Rs.1,06,250
(b)
Rs.1,07,500
(c)
Rs.1,17,500
(d)
none of these

9 )

By selling an article of \(\frac{2}{5}\) of the market price, there is a loss of 2 5%, the ratio of the market price and the cost price of the article is

(a)
5: 2
(b)
2:5
(c)
8: 15
(d)
15:8

10 )

Sumitha purchased a briefcase with an additional 10% discount on the reduced price after deducting 20% on the labelled price.If the labelled price was Rs.1,400, at what price did she purchase the briefcase?

(a)
Rs.1008
(b)
Rs.980
(c)
Rs.1056
(d)
Rs.1120

11 )

A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at \(6\frac { 1 }{ 4 } \) p.a. for 2 years. Find his gain in the transaction per year?

(a)
Rs.125
(b)
Rs.150
(c)
Rs.112.50
(d)
Rs.167.50

12 )

How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% p.a. of simple interest?

(a)
4.5 years
(b)
4 years
(c)
3.5 years
(d)
none of these

13 )

Rekha took a loan of Rs.1200 with simple interest for as many years as the rate of interest. If she paid Rs.432 as interest at the end of the loan period what was the rate of interests?

(a)
6
(b)
3.6
(c)
5.6
(d)
none of the above

14 )

Pooja invested Rs.15,000 @ 10% p.a. for one year. If the interest is compounded half-yearly, then the amount received by Pooja at the end of the year will be

(a)
Rs.18150
(b)
Rs.16537.50
(c)
Rs.16525.50
(d)
none of these

15 )

The S.I on a certain sum of money for 3 years at 8% p.a. is half the C.I on Rs.4000 for 2 years at 10% p.a. The sum placed on S.I is

(a)
Rs.1650
(b)
Rs.1550
(c)
Rs.1750
(d)
Rs.2000

16 )

Express 0.08% as a fraction

(a)
\(\frac{1}{1250}\)
(b)
\(\frac{1}{1350}\)
(c)
\(\frac{1}{1150}\)
(d)
none of these

17 )

Express 0.04% as a decimal

(a)
0.004
(b)
0.04
(c)
0.40
(d)
0.0004

18 )

Express \(6\frac { 3 }{ 4 } \) as rate percent

(a)
575%
(b)
475%
(c)
375%
(d)
675%

19 )

What percent of 2 metric tonnes is 40 quintals?

(a)
100%
(b)
200%
(c)
300%
(d)
none of these

20 )

If 50% of (x - y)=30% of (x + y), then what percent of x is y?

(a)
35%
(b)
15%
(c)
25%
(d)
none of these

21 )

10%ofthe 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.