**Word Problems on Percentage 4 : **

This is the continuity of our web content given on "Word problems on Percentage".

Before we look at the problems, if you want to know the shortcuts required for solving percentage problems,

**Problem 1 :**

Sum of the cost price of two products is $50. Sum of the selling price of the same two products is $52. If one is sold at 20% profit and other one is sold at 20% loss, find the cost price of each product.

**Solution :**

Let x and y be the cost prices of two products.

Then, we have

x + y = 50 -----(1)

Let us assume that x is sold at 20% profit.

Then, the selling price of x is

= 120% of x

= 1.2x

Let us assume that y is sold at 20% loss.

Then, the selling price of y is

= 80% of y

= 0.8y

**Given :** Sum of the selling price of the same two products is $52.

1.2x + 0.8y = 52

Multiply each side by 10 to get rid of the decimal.

12x + 8y = 520

3x + 2y = 130 -----(2)

Solving (1) and (2), we get

x = 30

y = 20

Hence, the cost prices of two products are $30 and $20.

**Problem 2 : **

A computer store used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

**Solution : **

Selling price (S.P) = (100 + M)% ⋅ C.P

Here, M = 40, C.P = $25.

Then, we have

S.P = (100 + 40)% ⋅ 25

S.P = (100 + 40)% ⋅ 25

S.P = 140% ⋅ 25

S.P = 1.4 ⋅ 25

S.P = $35

Hence, the selling price is $35.

**Problem 3 : **

A golf store pays its wholesaler $40 for a certain club, and then sells it to a golfer for $75. What is the markup rate?

**Solution : **

Cost price (C.P) = $40

Selling price (S.P) = $75

Mark up value = 75 - 40 = $35

Mark up rate = (35/40) ⋅ 100 % = 87.5 %

Hence, the mark up rate is 87.5 %

**Problem 4 : **

A store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

**Solution : **

Selling price (S.P) = (100 + M)% ⋅ C.P -----(1)

Here, S.P = $63, M = 40

Substitute the above values in (1).

(1)-----> 63 = (100+40)% ⋅ C.P

63 = 140% ⋅ C.P

63 = 1.4 ⋅ C.P

Divide each side by 1.4

45 = C.P

Hence, the cost of a pair of shoes is $ 45

**Problem 5 : **

A product is originally priced at $55 is marked 25% off. What is the sale price?

**Solution : **

Selling price (S.P) = (100 - M)% ⋅ L.P -----(1)

Here, L.P = $55, M = 25

Substitute the above values in (1).

(1)-----> S.P = (100 - 25)% ⋅ 55

S.P = 75% ⋅ 55

S.P = 0.75 ⋅ 55

S.P = 41.25

Hence, the selling price is $ 41.25

Apart from the problems on percentage given above, if you need more problems on percentage, please click the following links.

After having gone through the stuff given above, we hope that the students would have understood, how to solve word problems on percentage.

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