Question

A salesman purchases 80 eggs.After facing a loss of 10% eggs in the transit,the man sells the eggs at 15% profit. If he earns a profit of Rs.10, then how much is the cost price of an egg for the salesman​

Answer 1

A salesman purchases 80 eggs. After facing a loss of 10% eggs in the transit, the man sells the eggs at 15% profit. If he earns a profit of Rs.10, then the cost price of an egg for the salesman is Rs. 3.57

Step-by-step explanation:

Let the cost of each egg is Rs. x

Then total cost of 80 eggs is Rs. 80x

Since 10% egg are lost in transit,

(80 - 10% of 80)

= 80 - (10/100 * 80)

= 80 - 8

= 72 eggs are left

Cost price of 72 eggs are Rs. 72x

At 15% profit, the selling price of 72 eggs is

= Rs. 72x (1 + 15/100)

= Rs. (72x * 115/100)

= Rs. 82.8x

By the given condition,

Profit = Rs. 10

or, 82.8x - 80x = 10

or, 2.8x = 10

or, x ≈ 3.57

∴ the cost price of an egg is Rs. 3.57

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Answer 2

Cost Price of an Egg = Rs 3.57

Step-by-step explanation:

A salesman purchases 80 eggs

Let say Cost Price Per Egg = C

Then Cost Price of 80 Eggs = 80C

He sells eggs at 15 % profit

=> Selling Price if Egg = C + (15/100)C = 1.15C

10% Eggs lost in transit

=> Remaining eggs available for sell = 80  - (10/100)80

= 72 Eggs

Total sell price of 72 Eggs = 72 * 1.15C =  82.8C

Profit = 82.8C - 80C  

= 2.8C

2.8C  =  10

=> C = 10/2.8

=> C = 3.57

Cost Price of an Egg = Rs 3.57