Selected MCQs

A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:________?

A. no profit, no loss
B. 20% profit
C. less than 20% profit
D. more than 20% profit

D. more than 20% profit

Let the article be of worth rupees x.

then, as per the statement, the cost price at 10% less value will be:

C.P=[(100-10)/100]*x

C.P=90x/100

C.P=9x/10 rupees

 

Sells at 10% more value means:

S.P= x*[(100+10)/100]

S.P=110x/100

S.P=11x/10 rupees

 

As 11x/10 > 9x/10, this means, man has gain percentage.

So, 

Gain=S.P-C.P

Gain=11x/10-9x/10

Gain=(11x-9x)/10

Gain=2x/10

Gain=x/5 rupees

 

But, we need gain%.

So,

Gain%=(Gain/C.P)*100

Gain%=[(x/5)/(9×10)]* 100

Gain%=(x/5÷9x/10)*100

Gain%=[(x/5)*(10/9x)]*100

Gain%=(2x/9x)*100

Gain%=(2/9)*100

Gain%=200/9

or

Gain%=22*(2/9)

So, Profit is more than 20%

A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:________? Read More »

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________?

A. 51:52
B. 52:53
C. 51:53
D. 52:55

B. 52:53

Let cost price (CP) of the article be X rupees.

For 4% profit, SP=CP+4% of CP = 1.04X

For 6% profit, SP=CP+6% of CP = 1.06X

It is given that cash differences between selling price is Rs 3
1.06X−1.04X=3
0.02X=3
X=150

so,
Selling price of first article = 1.04X
Selling price of first article = 1.04×150
Selling price of first article = 156 Rupees

and,
Selling price of second article = 1.06X
Selling price of second article = 1.06×150
Selling price of second article = 159 Rupees

Ratio of selling prices = 156/159
Ratio of selling prices = 52:53

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________? Read More »

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?

A. 17cm
B. 20cm
C. 23cm
D. 26cm

D. 26cm

Area of each square = (400/64)cm2
Area of each square = 6.25cm2

Side of each small square = √6.25 cm
Side of each small square = 2.5 cm

Since there are 8 squares along each side of the chess board, we have :

Side = [(8 × 2.5) + 6] cm
Side = 26 cm

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board? Read More »

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