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26. A trader has 1600 kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11% on the whole , find the quantity sold at 12%. | |

A. 800 kg | B. 1600 kg |

C. 1200 kg | D. 1400 kg |

Answer: Option C

Explanation:

By rule of alligation,

% Profit by selling part1 | % Profit by selling part2 | |||||||||

8 | 12 | |||||||||

Net % Profit | ||||||||||

11 | ||||||||||

12 - 11 = 1 | 11 - 8 = 3 |

=> Quantity of part1 : Quantity of part2 = 1 : 3

Given that total quantity = 1600 kg

Hence, quantity of part2 (quantity sold at 12% profit)

$=1600 × \dfrac{3}{4} = 1200$

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