12) The owner of the cell phone shop charges 23% more than the cost price. If a customer paid 7011 for a cell phone, find the cost price of the cell phone.

Let the cost price = 100 The owner sells the phone on the price 23% more than the cost price. So, the selling price is 100+23 = 123. ATQ, the customer has to pay 7011 to purchase the cell phone.

If the selling price is 123 the cost price is 100. If the selling price is 1 the cost price is 100/123. If the selling price is 7011, the cost price =(100/123) * 7011 = 5700

Solution 2:

Let a number x to compare the assumed selling price and actual selling price. i.e., 123 * x =7011 x = 57

That means if we multiply the assumed value with 57, we get the original selling price. So, multiply the cost price with 57 to get the original cost price, i.e., 100 * 57 = 5700.

13) The profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?

ATQ, Selling price in case of profit is 464 Selling price in case of loss is 436

And the loss % = profit %

So, cost price – selling price = selling price – cost price Let cost price = x

x- 436 = 464 – x 2x= 464+436 2x = 900 x = 450

Try to solve more problems on profit and loss.

14) A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article.

15) By selling an object for Rs 900, a man earns a profit that is double the loss incurred when the object is sold for Rs 450. If he sells it at a profit of 20%, find the selling price of this object.

17) A person purchases some article at the rate of 4 articles for rupees 5 and sells them at the rate of 5 articles for rupees 4. Find the total profit or loss in %.

The C.P of 4 article is rupees 5 and selling price of 5 article is rupees 4.

Note: article ratio should be the same in both cases.

i.e., Article price

C.P = 4 5

S.P = 5 4

As the article is same in both the cases, we should make the article equal.

To make article value equal, we need to multiply C.P with 5 and S.P with 4. The change made in Article should also be performed at a price to calculate the % profit or loss.

i.e., Article price

C.P = 4* 5 = 20 5* 5 = 25

S.P = 5 * 4= 20 4* 4 = 16

The difference between the price of C.P and S.P is 25-16 = 9.

Now, apply % formula:

Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100

Note: if S.P > C.P = profit If C.P > S.P = loss

Here C.P = 25, and S.P = 16

So, Loss % = (9/25) * 100 = 36%

Hence, the person incurs a loss of 36%.

18) A shopkeeper purchases some article at the rate of 2 articles for rupees 3 and purchases twice of the quantity at the rate of 3 articles for rupees 2. He sells them at the rate of 6 articles for rupees 7. Find the profit or loss %.

A shopkeeper purchases an article at the rate of 2 for rupees 3, and again purchase twice of the quantity at the rate of 3 for rupees 2 and the selling price of the all articles is 6 for rupees 7.

Here, the total articles are purchased in 2 times.

i.e., Article price

C.P 1 = 2 3

C.P 2 = 3 2

But the shopkeeper purchases double articles the second time. That means C.P 2 = 2 * C.P 1 So we should make the C.P 2 article’s cost price as double as C.P 1

To satisfy the condition, we need to multiply the C.P 1 with 3 and C.P 2 with 4. The change made in Articles should also be performed at their price to calculate the % profit or loss.

i.e., Article price

C.P 1 = 3* 2 = 6 3* 3 = 9

C.P 2 = 4* 3 = 12 4* 2 = 8

Now, we can see that C.P 2’s article = 2 * C.P 1’s article Now, total article purchased by shopkeeper C.P = C.P 1 + C.P 2 = 18 at rupees 17

i.e., Article price

C.P = 18 17

S.P = 6 7

Note: the article should always be equal in S.P and C.P.

To make it equal, multiply S.P with 3 and the change should also be made in the price.

i.e., Article price

C.P = 18 17

S.P = 3*6=18 3* 7 = 21

The difference between the price of C.P and S.P is 21-17 = 4 Now, apply % formula.

Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100 Here C.P = 17, and S.P = 21. Selling price is more than cost price. So, Profit % = (4/17) * 100 = 23.52%

19) A shopkeeper sells his goods at a profit of 10%. If he had purchased it at 20% less and sells it at rupees 10 more, he had a gain of 40%. Find the C.P of the goods.

Let the C.P of an article is 100. ATQ, S.P will be 110……………………………………………… (i) If he has purchased it at 20% less, the new C.P = 100 – 20= 80

If the C.P is 80, then he earns a profit of 40% and sells the article at Rs 10 more than the previous price. So, when he earns 40%, the new C.P = (40/100) * 80 = 32

That means if the C.P = 80, the S.P = 80+32 = 112………………………. (ii)

Compare equation 1 and 2, and we get the difference between S.P is = 2 But ATQ, it should be 10, i.e., multiple of 5 So, we need to multiply the actual value with 5 then we get actual cost price.

Hence, the C.P of the article is = 100 * 5 = 500

Try to solve more problems on profit and loss.

20) The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.