Question

25% of goods are sold at 5% loss while the remaining
are sold at 20% profit. If there is a total profit of
Rs.550, then the worth of goods sold is?
3) Rs.4000
b) Rs.5000
c) Rs.6000
d) Rs.5550
e) Rs.6500​

Answer 1

Answer:

Concept: solving the question by assuming the question asked as a function i.e. x.

Given: 25% goods are sold at 5% loss while remaining goods are sold at 20% profit. the total profit is 550.

To find: worth of the good sold.

Step-by-step explanation:

so, let the worth of good sold be x.

let's consider the first part of the question, it says that 25% of good sold at 5% loss.

so we say that $\frac{25}{100}*x-\frac{5}{100}(\frac{25}{100}*x)$

so, $0.25x-0.05(0.25x)$

so, $0.25x-0.0125x$

and so, $0.2375x$.

and now, let's consider the second part of the question , it says that the remaining good are sold at 20% profit.

so, we can say that  $x-0.25x+ \frac{20}{100}(x-0.25x)$

so, $0.75x+0.15x$

and so, $0.90x$.

and the profit is 550.

if we combine both the part of the question , we can say that

$(0.2375x+0.90x)-x=550$

so, $1.1375x-x=550$

so, $0.1375x=550$

and so, $x= 4000$

∴ the answer is 3) 4000.

#SPJ3

Answer 2

Answer:

The total worth of the goods is Rs. 4000

Step-by-step explanation:

As per the data given in the question,

We have,

Let the worth of goods be $x$

So, profit made by the 75% goods = $0.75\times0.2\times x = 0.15x$

And, loss dealt by 25% goods = $0.25\times0.05\times x = 0.0125x$

Hence, total profit made = $0.15x - 0.0125x = 0.1375x$

As we know profit is 400, so by equating :

$550 = 0.1375x\\x=\frac{550}{0.1375} \\x=4000$

So, the total worth of the goods is Rs. 4000

#SPJ2