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 »

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 »

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:_________?

A. Rs.50
B. Rs.60
C. Rs.80
D. Rs.90

C. Rs.80

Let the C.P of each clock be Rs. x.
Then C.P of 90 clocks =Rs. 90x.

By using the given information,
(110/100)*40x + (120/100)*50x – (115/100)*90x = 40
44x+60x−103.5x=40
0.5x=40
x=80

So, the C.P of each clock is equal to Rs. 80.

A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:_________? Read More »

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