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A manufacturer fixes his selling price at 30% over the cost of production. If the cost of production goes up by 30%, and the manufacturer raises
Question

A manufacturer fixes his selling price at 30% over the cost of production. If the cost of production goes up by 30%, and the manufacturer raises his selling price by 70%, find the profit percentage.​

A.

70%

B.

73%

C.

69%

D.

71%

Correct option is A

Given:

Initial selling price = 30% above cost

Cost increases by 30%

Selling price increases by 70%

Formula Used:

Profit % = SPCPCP×100\frac{\text{SP} - \text{CP}}{\text{CP}} \times 100​​

Solution: 

Let original cost price (CP) = ₹100

Then original selling price (SP) = ₹100 + 30% of 100 = ₹130

New CP = ₹100 + 30% of 100 = ₹130

New SP = ₹130 + 70% of 130 = ₹130 × 1.70 = ₹221

New CP = ₹130

New SP = ₹221

Profit = 221 - 130 = ₹91

Profit % = 91130×100=70%\frac{91}{130} \times 100 = 70\%​​

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