Question

a dealer sold a radio at 20%. had he sold for rs 100, he would have lost 15% . For what value he would sell in order to gain 25%. also find the initial cost price​

Answer 1

Answer:

Selling price=2500 and intial cost = 2000

Step-by-step explanation:

►5% of the Cost Price = Rs. 100

►Cost Price = Rs. 2000

►Now, Profit required is 25% of  2000 = Rs. 500.

►Thus, Selling Price = Rs. 2500.

Answer 2

Your question is incomplete. Here is the full question:

A dealer sold a radio at a loss of 20%. Had he sold it for Rs. 100 more, he would have lost 15%. For what value should he sell it in order to gain 25%? Also find the initial cost price respectively.

Concept:

Percentage of loss = ((cost price - selling price)/(cost price))*100

Percentage of profit = ((selling price - cost price)/(cost price))*100

Given:

A dealer sold a radio at a loss of 20%. Had he sold it for Rs. 100 more, he would have lost 15%.

Find:

1) Selling price to get 25% profit.

2) Cost price of radio.

Solution:

Let the initial Selling Price be 's' and the Cost Price be 'c'.

for Selling Price of 's', the percentage loss is 20%

⇒ 20 = (c - s)*100/c

⇒ c = (c - s)*5

⇒ 5s = 4c -------(i)

for Selling Price of s + 100, the percentage loss is 15%

⇒ 15 = (c - s - 100)*100/c

⇒ 3 = (c - s - 100)*20/c

⇒ 3c = 20c - 20s - 2000

⇒ 17c - 20s =  2000

From (i) we get 20s = 16c. using this in the above equation

⇒ 17c - 16c =  2000

⇒ c =  2000;

Let the selling price to get 25% profit be 's1' then,

25 = (s1 - c)*100/c

⇒ c = 4(s1) - 4c

⇒ 5c = 4(s1)

⇒ s1 = (5/4)c = (1.2)(2000) = 2400;

∴ The Cost Price of the radio is RS.2000 and the selling price for which we will get 25% profit is Rs.2400.

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