Question

A trader has certain number of caps if he sells each cap at 50 he will have a profit of 500.If he sells each cap at 25 he will have a loss of 125 find the number of cals

Answer 1

Answer:

Step-by-step explanation:

500=50- cp/cp × 100

125=cp-25/cp×100

Slove these both

Answer 2

Given,

Profit from selling caps at the selling price of Rs $50$ is Rs $500$ and Loss from selling the caps at Rs $25$ is Rs $125$.

To Find,

Number of Caps the trader has.

Solution,

Let's say the cost price of each Cap = $c$ and Let the number of caps the trader has = $x$

Now the actual cost of $x$ caps at the cost price of $c$ = $cx$

If the traders sell the caps at Rs $50$ ⇒ The total amount he receives = $50$$x$

The profit = $50$$x - cx = 500$ ------ A

If the traders sell the caps at Rs $25$ ⇒ The total amount he received = $25x$

The loss = $cx - 25x = 125$ -------- B

A + B ⇒ $(50x - cx) + (cx - 25x) = 500 + 125$

⇒ $25x = 625$

⇒ $x = 25$

Henceforth the number of caps the trader has is 25.