admin

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

by
Question:
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

[A].

60 m

[B].

40 m

[C].

20 m

[D].

10 m

Answer: Option C

Explanation:

To reach the winning post A will have to cover a distance of (500 – 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers 4 x 360 m = 480 m.
3

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

A wins by 20 m.

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

by
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
[A].

30%

[B].

33 1 %
3

[C].

35%

[D].

44%

Answer: Option D

Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs. 5 x 30 = Rs. 25.
6
S.P. of 30 articles = Rs. 6 x 30 = Rs. 36.
5
Gain % = 11 x 100 % = 44%.
25

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

by
Question:
On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

[A].

Rs. 45

[B].

Rs. 50

[C].

Rs. 55

[D].

Rs. 60

Answer: Option D

Explanation:

(C.P. of 17 balls) – (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = Rs.720.

C.P. of 1 ball = Rs. 720 = Rs. 60.
12

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

by
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
[A].

15

[B].

16

[C].

18

[D].

25

Answer: Option B

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 – x).

20 – x x 100 = 25
x

2000 – 100x = 25x

125x = 2000

x = 16.

Video Explanation: https://youtu.be/sidqvjUoZxY

If selling price is doubled, the profit triples. Find the profit percent.

by
Question: If selling price is doubled, the profit triples. Find the profit percent.
[A].

66 2
3

[B].

100

[C].

105 1
3

[D].

120

Answer: Option B

Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y – x) = (2y – x)   y = 2x.

Profit = Rs. (y – x) = Rs. (2x – x) = Rs. x.

Profit % = x x 100 % = 100%
x

Video Explanation: https://youtu.be/dPzF10mGsWE

A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

by
Question:
A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

[A].

5 15 % loss
17

[B].

5 15 % gain
17

[C].

6 2 % gain
3

[D].

None of these

Answer: Option B

Explanation:

C.P. of 1st transistor = Rs. 100 x 840 = Rs. 700.
120
C.P. of 2nd transistor = Rs. 100 x 960 = Rs. 1000
96

So, total C.P. = Rs. (700 + 1000) = Rs. 1700.

Total S.P. = Rs. (840 + 960) = Rs. 1800.

Gain % = 100 x 100 % = 5 15 %
1700 17