Question

A man sells a horse for Rs. 600 gaining thereby, 1/5 of the selling price. At what price would he have sold it to lose 14
of the then selling price?

Answer : (a) 384

Can Anyone Show Me the Method how The answer Came ?? ​

Answer 1

Given data:

A man sells a horse for Rs. 600 gaining thereby, 1/5 of the selling price.

i.e., Selling Price SP = Rs.600

      Profit = $\frac{1}{5} (SP)$

To find:

The Selling Price, to get a loss of $\frac{1}{4}(SP)$.

Calculation:

From the given data (Selling Price SP = Rs.600, Profit = $\frac{1}{5} (SP)$ ) :

Profit = $\frac{1}{5} (SP)$

⇒ Profit = $\frac{1}{5}(600)$

⇒ Profit = Rs. 120

As we have the profit and selling price, by using the relation Cost Price = Selling Price - Profit; let us find the Cost price.

CP = SP - Profit

     = 600 - 120

     = 480

Therefore, Cost Price = Rs. 480.

Now, As per the data to find, let the Selling Price be 'x', where cost price = Rs. 480. Here, loss is 1/4 th of the Selling Price.

CP - Loss = SP

⇒ 480 - $\frac{1}{4}$ x = x

⇒ 480 = x + (x/4)

⇒ 480 = (4x+x)/4

⇒ 480 = 5x/4

⇒ x = $\frac{4}{5}(480)$

⇒ x = 4 (96)

⇒ x = 384           [x=SP]

Therefore, to get a loss of one-fourth of the Selling Price, the man should sell the horse at Rs.384

Learn more :

1. Three taps A, B and C can fill a tank in 10 minutes, 15 minutes and 20 minutes respectively. If the taps were shut off after 5 minutes, what is the volume of water that overflowed in %?​

brainly.in/question/15608672

2. Amit climbs up 5 stairs in one second. He then climbs down 3 stairs. How many seconds will he takes to climbs 62 stairs.

https://brainly.in/question/9493754