All categories

3 years ago

a shopkeeper sold a pen at loss of 20%. if he had sold it for rs 10 more, he would have gain 5%.find the cost price of pen

Mathematics

2 answers:

Elena-2011 [213]3 years ago

7 0

Answer:

let sp of a pen be x

loss=20%

then CP = ( SP * 100 ) / ( 100 – percentage loss )

= x*100/80

=1.25x

Again

if sp= x=10

then profit =5%

CP = ( SP * 100 ) / ( 100 + percentage profit )

= (x+10)*100/105

= 20x+200/21

as cp is equal

1.25x= (20x+200)/21

26.25=20x+200

6.25x=200

x=32

Step-by-step explanation:

gogolik [260]3 years ago

3 0

Rs 200 since the questions states that if he sold it for 10 more, he would have gained 5%, 10=5% 1%=2 100%=200

You might be interested in

Percents

LUCKY_DIMON [66]

Given that,

Michael is leaving a 15% tip for his waitress.

To find,

What percent of the original price will he pay.

Solution,

Let the original price was 100%.

When he leaves a 15% tip for the waitress, he is really paying 100%+15%=115% of the original price.

$115\%=\dfrac{115}{100}\\\\=1.15$

$\dfrac{115}{100}=\dfrac{23}{20}$

So, this is the required solution.

8 0

3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

What will be the cost of the paving if cement costs $26.50 per square metre?

WITCHER [35]

Answer: $2203.74

Step-by-step explanation:

4 0

2 years ago

Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's

den301095 [7]

Answer:

The answer is " $2.5 \ cm$ "

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is $\frac{6}{3} =2$ , which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be $\frac{5}{2} = 2.5 \ cm$ in its width.

7 0

2 years ago

How far will a train travel in 5hours if it travels at 80ml per hour

Aleks [24]

Answer:

If the ml means miles than its 400

Step-by-step explanation:

3 0

3 years ago

a shopkeeper sold a pen at loss of 20%. if he had sold it for rs 10 more, he would have gain 5%.find the cost price of pen​

a shopkeeper sold a pen at loss of 20%. if he had sold it for rs 10 more, he would have gain 5%.find the cost price of pen