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Important Questions on Sets, Relations and Functions

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

Ama, Kamal, and Ratan start a business. The ratio of their investments is

12 : 4 : 3

. If at the end the ratio of their profits is

3 : 16 : 9

, what is the ratio of time periods of their investments?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

30

dozens of nuts were bought for

₹ 14400

. If the nuts are sold in a packet of

5

for

₹ 250

, then how much profit is earned?

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A started $y$ business. After

4

months from the start of the business, B and C joined. The respective ratio between the investments of A, B and C was

4 : 6 : 5

. If A's share in annual profit was Rs.

250

more than C's share, what was the total annual profit earned?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

B

starts a business by investing

R s . 20000

. After

2

months, D joins business by investing

R s . 55000

. At the end of the year, in what ratio will they share the profit?

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If the cost price of

120

articles is equal to the selling price of

80

articles, find the profit percent?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

Raman and Sanjay started a business by investing $₹$ $63000$ and $₹$ $42000$ respectively. If the total profit at the end of year is $₹$ $9000$ , Then what is the share of Raman?

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

30

dozen of nuts were bought for

₹ 14400

. If the nuts are sold in a packet of

5

for

₹ 250

, then how much profit is earned?

MEDIUM

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A, B

and

C

started a business with their investment in the ratio

1 : 3 : 5

. After

4

months,

A

invested the same amount as before and

B

as well as

C

withdrew half of their investments. What is the ratio of their profits at the end of the year?

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If some articles are bought at

R s . 6

each and sold at

R s . 12

each, then what is the profit percentage?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A and B started a business by investing $R s . 18000$ and $R s . 24000$ respectively. At the end of $4$ th month from the start of the business, C joins with $R s . 15000$ . At the end of $8$ th month B quits at which time C invests $R s . 3000$ more. At the end of $10$ th month B rejoins with the same investment. If profit at the end of the year is $R s . 12005$ , what is B's share of profit?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A and B both starts a business. Amount invested by B is one-third of that invested by A. Three months from the start of the business, A withdrew one-third of his investment and B tripled his investments. If from the total annual profit earned, A receives Rs.

1800

as his share from the profit, what was the total annual profit earned?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A shopkeeper sold an item for

₹ 1800

at a discount of

10 %

and gained

₹ 200

. Had he not given the discount, then what would be his gain?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

Pihu and Rani started a business together by investing

₹ 9000

and

₹ 6300

respectively. After a certain period, Pihu withdrew from the business completely. If at the end of two years, the total profit earned was

₹ 13050

and Pihu's share was

₹ 6750

, after how many months did Pihu withdrew from business?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

P invests Rs.

9100

, for

3

months, Q invests Rs.

6825

for

2

months and R invests Rs.

8190

for

5

months in a business, If the total profit amounts to Rs

4158

, How much profit should Q get?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A and B started a business with initial investments in the ratio

5 : 7

. If, after one year their profits were in the ratio

1 : 2

and the period for A's investment was for

7

months only, B invested the money for how many months?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A, B and C subscribe a sum of

₹ 75, 500

for a business. A subscribes

₹ 3, 500

more than B, and B subscribes

₹ 4, 500

more than C. Out of a total profit of

₹ 45, 300

, how much (in

₹

) does A receive?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A sum of

₹ x

was divided between A, B, C and D in the ratio

\frac{1}{3} : \frac{1}{5} : \frac{1}{6} : \frac{1}{9}

. If the difference between the shares of B and D is

₹ 832

, then the value of

x

is:

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A salesman expects a gain of

13 %

on his cost price. If in a month his sale was

R s . 791000

. What was his profit?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If Reena sold

12

mobile phones for

R s . 1, 88, 160

which cost

R s . 14, 056

per phone. What was the total profit made by her?

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Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

There is an article of

R s . 100

. Its price is raised initially by

10 %

and then again by

10 %

. How many rupees have been increased ?

The following is (are) included in salary survey.

Important Questions on Sets, Relations and Functions

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