96
Q:

# A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

 A) 116% B) 166.66% C) 60% D) 100%

Explanation:

Let the cost price of 1 litre pure milk be Re.1, then

$\inline&space;\begin{Bmatrix}&space;6&space;&&space;litres(milk)&space;&&space;\rightarrow&space;&&space;CP=Rs.6\\&space;2&space;&&space;litres(water)&space;&&space;\rightarrow&space;&&space;CP=Rs.0&space;\end{Bmatrix}\rightarrow&space;CP=Rs.6&space;only$

and 8 litre mixture  $\rightarrow$ SP $\rightarrow$ 8 x 2 = Rs.16

Profit %= $\inline \left [ \frac{\left ( 16-6 \right )}{6} \right ]\times 100=\frac{1000}{6}=166.66$%

Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

 A) 2% B) 4% C) 3% D) 2.5%

Explanation:

SP of first article = 1000
Profit = 20%
CP = $\inline \fn_jvn \small \frac{100}{100+p}\times sp$= 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = $\inline \fn_jvn \small \frac{100}{100-L}\times sp$ = 5000/4 = 1250
Total SP = 2000
Total CP = $\inline \fn_jvn \small \frac{2500}{3}$ + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent =$\fn_jvn \small \frac{\frac{250}{3}}{\frac{6250}{3}}\times 100$
=0.04 * 100 = 4%

1 21
Q:

In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

 A) 61% B) 75% C) 55% D) 81%

Explanation:

Let C.P.= Rs. 100.

Then, Profit = Rs.220,

S.P. = Rs.320.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs.320.

Profit = Rs. (320 - 125) = Rs. 195

Required percentage = $\inline \fn_jvn \small \frac{195}{320}\times 100$

= 60.9 =~ 61%

1 8
Q:

A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

 A) 25% B) 21.14% C) 22.54% D) 27.32%

Explanation:

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276

Profit % = $\inline \fn_jvn \small \frac{profit}{C.P}\times 100$

$\inline \fn_jvn \small \frac{276}{1224}\times 100$

= 22.54%.

1 9
Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

 A) 32 B) 40 C) 16 D) 30

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P.

S.P. of P articles = Rs. 40.

Profit = Rs. (40 - P)

Now, Gain% = $\inline \fn_jvn \small \frac{Profit}{c.p}\times 100$

Here $\inline \fn_jvn \small \frac{40-P}{P}\times 100$ = 25

(40-P)100 = 25P

4000 - 100P = 25P

125P = 4000

P = 4000/125

P = 32.

1 9
Q:

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

 A) 0 % B) 25 % C) 75 % D) 50 %

Explanation:

Let the cost price be x and selling price be y.
Loss = x – y

When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x – y = 3(x-y)

$\inline \fn_jvn \small \Rightarrow x=2y$

Loss % = $\inline \fn_jvn \small \left ( \frac{loss}{c.p} \right )\times 100$ = $\inline \fn_jvn \small \left ( \frac{2y-y}{2y} \right )\times 100$ = 50 %