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Ram wants to make a profit of 30% from selling a mixture of defective and non-defective radios which cost Rs. 40 per piece and Rs. 150 per piece. If he sells one from the mixture at Rs. 130 per piece, how many defective per non-defective did he sell.

Ram wants to make a profit of 30% from selling a mixture of defective and non-defective radios which cost Rs. 40 per piece and Rs. 150 per piece. If he sells one from the mixture at Rs. 130 per piece, how many defective per non-defective did he sell. Correct Answer 5 ∶ 6

Given:

Profit earned = 30%

Selling price of mixture = Rs. 130 per piece

Cost price of low-quality sugar = Rs. 40

Cost price of high-quality sugar = Rs. 150

Concept used:

Sum of cost price of defective + no-defective quality radios = cost price of the mixture  

Calculation:

let us assume that quantity of defective radio be x and quantity of non-defective radio be y.

selling price = cost price × (100 + profit%)

then, cost price = selling price/(100 + profit%)

CP of mixture = 130/(100 + 30%)

CP of mixture = 130 × 100/130

CP of mixture = Rs. 100

Then total CP of cost price, 150y + 40x = 100 × (x + y)

⇒ 150y – 100y = 100x – 40x

⇒ x ∶ y = 5 ∶ 6

CP of mixture = 130/(100 + 30%)

CP of mixture = 13000/130

CP of mixture = Rs. 100

∴ The defective pieces per non-defective radio are 5 ∶ 6.

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