MCQs Preparation

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 »

If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:________?

A. Rs. 50
B. Rs. 160
C. Rs. 200
D. Rs. 225

C. Rs. 200

Let Cost price of the article be Rs.x

When Selling price is Rs.340 then,
Gain% = (340-x)/x * 100

When Selling price is Rs. 350 then,
Gain% = (350-x)/x * 100

Hence,
Additional % gain= (350-x)/x * 100 – (340-x)/x * 100
Additional % gain= 5=[350−x−340+x] * 100/x [It is given that gain% = 5%]

5x=1000
x=Rs.200

Cost price of article is Rs.200

If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:________? Read More »

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