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17. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is | |

A. 400 | B. 500 |

C. 300 | D. 600 |

Answer: Option D

Explanation:

By rule of alligation,

Profit% by selling 1st part | Profit% by selling 2nd part | |||||||||

8 | 18 | |||||||||

Net % profit | ||||||||||

14 | ||||||||||

18-14=4 | 14-8=6 |

=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3

Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)

$=1000 × \dfrac{3}{5}$ = 600 kg

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