Profit and Loss Complex Examples

In this class, We discuss Profit and Loss Complex Examples.

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Example 1:

A shop owner purchased 80kg of sugar at Rs 13.50 per KG.

He mixed it with 120kg of sugar at Rs 16 per KG.

At what rate should he sell the mixture to gain 16% profit?

Solution:

CP of total mixture = (80 * 13.50 + 120 * 16)

CP = 3000

SP = 116% of 3000

SP = 116/100 * 3000 = 3480

SP per KG = 3480/200 = 17.40

Example 2:

Pure ghee costs Rs 100 per KG, after adulterating it with vegetable oil consisting Rs 50 per KG. A shopkeeper sells the mixture at the rate of 96 Rs per KG.

He made a profit of 20%. In what ratio does he mix the two products?

Solution:

SP = ((100 + 20)/100) * CP

CP = (96 * 100)/120 = 80 per KG

(x% of 100) + ((100-x)% of 50) = 80

= x/100 * 100 + (100-x)/100*50 = 80

= x + (100-x)/2 = 80

= (2x + 100-x)/2 = 80

x = 60

60: 40

= 3: 2