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

Let us assume thatr "x" is sold at 20% profit

Then, the selling price of "x" = 120% of "x"

selling price of "x" = 1.2x

Let us assume thatr "y" is sold at 20% loss

Then, the selling price of "y" = 80% of "y"

selling price of "x" = 0.8y

Given : Selling price of "x" + Selling price of "y" = 52

1.2x + 0.8y = 52 -------> 12x + 8y = 520

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

Solving (1) and (2), we get x = 30 and 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, S.P = (100 + 40)% ⋅ 25

S.P = 140% ⋅ 25

S.P = 1.4 ⋅ 25 = $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

Plugging the above values in (1)

(1)-----------> 63 = (100+40)% ⋅ C.P

63 = 140% ⋅ C.P ---------> 63 = 1.4 ⋅ C.P

63/1.4 = C.P ---------> 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

Plugging 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

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