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QUESTION: 1

The percentage profit earned by selling an item for Rs. 1920 is equal to the percentage loss incurred by selling the same item for Rs. 1280. At what price should the item be sold to make 25% profit?

Solution:

Let C.P. be Rs.x.

Then, 1920 - x = x - 1280

⇒ 2x = 3200

⇒ x = 1600

∴ Required S.P. = 125% of Rs. 1600 = Rs. (125 / 100 x 1600) = Rs.2000.

QUESTION: 2

Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.

Solution:

Given,

1 dozen = ₹ 375

Therefore, 20 dozen = 20* 375

= ₹7500 ( CP)

Now, each toy is sold for ₹ 33

1 dz = 12 toys

Then, 20 dz = 20 * 12

= 240 toys

So, total SP

240* 33

= 7920

Now, profit percentage:

P% = [ P / CP ] * 100

= [ ( SP - CP) / CP ] * 100

= [ (7920 - 7500) / 7500] * 100

**= 5.6 % profit. **

QUESTION: 3

A sells a car to B at 10% loss. If B sells it for Rs. 54000 and gains 20%, the cost price of the car for A was

Solution:

Selling price of the car = Rs.54,000

gain 20%

Friend's cost price of the car = Rs. 54000 x 100/120 = Rs.45,000

Now selling price of the car of the first owner Rs.45000

Loss 10%

Cost price of the car = 45000 x 100/90

= Rs.50,000

QUESTION: 4

John buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent ?

Solution:

Cost price = 4700+800 = 5500

Selling price = 5800

Gain = 5800-5500 = 300

Gain percent = ( 300*100)/5500

= 60/11 %

⇒ 5+(5/11) %

QUESTION: 5

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x

Solution:

Let C.P. of each article be Re. 1 C.P. of *x* articles = Rs. *x*.

S.P. of *x* articles = Rs. 20.

Profit = Rs. (20 - *x*)

∴ (20 - x / x) * 100 = 25

⇒ 2000 - 100*x* = 25*x*

⇒ 125*x* = 2000

⇒ *x* = 16.

QUESTION: 6

A man buys a scooter for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the scooter?

Solution:

S.P. = 85% of Rs. 1400

= Rs. (85 / 100 x 1400)

= Rs. 1190

QUESTION: 7

In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?

Solution:

Let C.P.= Rs. 100.

Then, Profit = Rs. 320,

S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295.

∴ Required percentage = (295 / 420 x 100)% = 1475 / 21 % = 70%(approximately).

QUESTION: 8

A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Solution:

C.P. of 6 banana = Re. 1

S.P. of 6 banana = 120% of Re. 1 = Rs.6/5

For Rs.6/5 , banana sold = 6.

For Re. 1, banana sold = (6 x 5 / 6) = 5.

QUESTION: 9

An exporter expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Solution:

C.P. = Rs. (100 / 122.5 x 392)

= Rs. (1000 / 1225 x 392) = Rs.320

∴ Profit = Rs. (392 - 320) = Rs.72

QUESTION: 10

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

Solution:

(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P of 5 balls)

⇒ C.P of 12 balls = S.P of 17 balls = Rs.720.

⇒ C.P. of 1 ball = Rs.(720 / 12) = Rs.60.

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