Question

2. Amit brought two cars. He then sold the
1st car at 10% profit and 2nd one at 25%
profit. The selling price of the 2nd car is
25% more than the SP of the 1st car. What
is the approx. profit % in both the cars
together?
अमित ने दो कार खरीदी ।उसने बाद में पहली
कार 10% लाभ और दूसरी कार को 25% लाभ पर
बेच दिया। दूसरी कार का विक्रयमूल्य पहली कार
के विक्रयमूल्य से 25% अधिक है । तो उसका कुल
लाभ% ज्ञात करे।​

Answer 1

Given:

Amit bought 2 cars

He sold 1st at 10% profit and 2nd at 25% profit

The selling price of the 2nd car is  25% more than the SP of the 1st car

To find:

What  is the approx. profit % in both the cars  together?

Solution:

Let's assume,

"C.P.₁" = "x" → cost price of 1st car

"C.P.₂" = "y" → cost price of 2nd car

"S.P.₁" → selling price of 1st car

"S.P.₂" → selling price of 2nd car

So,

S.P.₁ = $\frac{100 + G\%}{100}\times C.P._1 = \frac{100 + 10}{100}\times x = \frac{110}{100}\times x = 1.1x$

and

S.P.₂ = $\frac{100 + G\%}{100}\times C.P._1 = \frac{100 + 25}{100}\times y = \frac{125}{100}\times y = 1.25y$

Also, the selling price of the 2nd car is 25% more than that of the 1st car

∴ S.P.₂ = S.P.₁ + 25% of S.P.₁

$\implies 1.25y = 1.1x + [\frac{25}{100}\times 1.1x ]$

$\implies 1.25y = 1.1x + 0.275x$

$\implies 1.25y = 1.375x$

$\implies y = \frac{1.375x}{1.25}$

$\implies y = 1.1x$

∴ Total C.P. of the two cars is,

= C.P.₁ + C.P.₂

= x + y

= x + 1.1x

= 2.1x

and

∴ Total S.P. of the two cars is,

= S.P.₁ + S.P.₂

= 1.1x + 1.25y

= 1.1x + (1.25 × 1.1x)

= 1.1x + 1.375x

= 2.475x

Now,

The profit % in both cars together is,

= $\frac{S.P. - C.P.}{C.P.} \times 100$

= $\frac{2.475x - 2.1 x}{2.1x} \times 100$

= $\frac{0.375x }{2.1x} \times 100$

= $0.1785 \times 100$

= $\bold{17.85\%}$

Thus, the approx. profit % in both cars  together is $\underline{\underline{17.85\%}}.$

------------------------------------------------------------------------------------

Also View:

a man sold two cars at rs. 99000 each. on one he gains 10% and on other loses 10% .hiw much does he gain or lose on his whole transaction? also,calculate it in percentage

https://brainly.in/question/5554525

A bought a car for 100000 and spent 10000 on its repairs. He sold this car to B at a gain of 10% who later on sold it to C at a gain of 5%.What did C pay for the car?

https://brainly.in/question/5670976

Find the sp when cp is rs 80 and gain is 20%

https://brainly.in/question/12281772