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OTI365 - NTSE - X Standard
NTSE SAT Mathematics - Commercial Mathematics Important Questions with Answer

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 )

In the new budget, the price of kerosene oil rose by 25%.By how much percent must a person reduce his consumption so that his expenditure on it does not increase

(a)
10%
(b)
15%
(c)
20%
(d)
none of these

3 )

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

4 )

An article is sold at a certain price. By selling it at of\(\frac{2}{3}\) that price one loses 10%. Find the gain percent at original price.

(a)
25%
(b)
30%
(c)
35%
(d)
none of these

5 )

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

6 )

The price of an article was increased by r%.Later the new price was decreased by r²%. If the latest price was Rs.1, then the original price was

(a)
Rs.1
(b)
Rs.\(\left( \frac { 1-{ r }^{ 2 } }{ 100 } \right) \)
(c)
Rs.\(\frac { \sqrt { 1-{ r }^{ 2 } } }{ 100 } \)
(d)
Rs.\(\left( \frac { 10000 }{ 10000-{ r }^{ 2 } } \right) \)

7 )

Pure ghee costs Rs.100 per kg. After adulterating it with vegetable oil costing Rs. 50 per kg, a shopkeeper sells the mixture at the rate of Rs. 96 per kg, thereby making a profit of 20%, in what ratio does he mix the two?

(a)
1:2
(b)
2:2
(c)
3:2
(d)
none of these

8 )

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

9 )

A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. what would have been the percentage of profit earned if no discount was offered?

(a)
24.5
(b)
30
(c)
39.5
(d)
none of these

10 )

Praveen bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is what percent more than the original price?

(a)
8
(b)
7.5
(c)
10
(d)
12

11 )

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

12 )

A sum fetched a total simple interest of Rs.4016.25 at the rate of 9% p.a. in 5 years. What is the sum?

(a)
Rs.8032.50
(b)
Rs.8900
(c)
Rs.8925
(d)
Rs.4462

13 )

Divide Rs.2379 into 3 parts so that their amounts after 2, 3, and 4 years respectively may be equal, the rate of interest being 5% p.a at S.I. The first part is

(a)
792
(b)
759
(c)
818
(d)
828

14 )

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

(a)
1:4
(b)
2:3
(c)
1:3
(d)
none of these

15 )

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

16 )

The difference between C.I and S.I on a certain sum at the rate of 10% p.a. for 2 years and C.I. which is compounded every 6 months is Rs.124.05. What is the principal sum?

(a)
Rs.6000
(b)
Rs.8000
(c)
Rs.10,000
(d)
none of these

17 )

The C.I on a certain sum for 2 years .at 10% p.a. is Rs.525. The S.I on the same sum for double the time at half the rate percent per annum is

(a)
Rs.400
(b)
Rs.500
(c)
Rs.600
(d)
Rs.800

18 )

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

19 )

Express 0.04% as a decimal

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

20 )

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

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

21 )

2 is what percent of 50?

(a)
5%
(b)
3%
(c)
4%
(d)
none of these

22 )

What percent of 2 metric tonnes is 40 quintals?

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

23 )

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

24 )

Sashank spends 75% of his income. His income is Increased by 20% and he increased his expense by 10%. Find the percentage increase in his savings.

(a)
50%
(b)
25%
(c)
75%
(d)
\(\frac{25}{2}\)%

25 )

A grocer purchased 80 kg of sugar at Rs.13.50 per kg and mixed it with 120 kg of sugar at Rs.16 per kg? At what rate should he sell the mixture to gain 16%

(a)
16.40 per kg
(b)
15.40 per kg
(c)
17.40 per kg
(d)
none of these

26 )

If the manufacturer gains 10% the wholesale dealer 15% and the retailer 25%, then find the cost of production of a table, the retail price of which is Rs.1265/-