A shopkeeper has 2020 kgs of rice, part of which he sells at 1% loss and the rest at 7% profit. He g

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13 May 2020 Profit & Loss

A shopkeeper has 2020 kgs of rice, part of which he sells at 1% loss and the rest at 7% profit. He gains 2% on the whole. What is the difference between the quantities of rice sold at 7% profit and that sold at 1% loss?

OPtion

1) 1215
2) 1015
3) 1515
4) 1625
5) 505
6) 1715
7) 1815
8) 515
9) 520
10) None of these

Solution

(Quantity of Cheaper)/(Quantity of Dearer) = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper)

(Quantity of Cheaper)/(Quantity of Dearer) = (107 - 102)/(102-99) = 5/3

Total Quantity = 2020 KG

The quantity sold at 1% loss is = (5/8) * 2020 = 1262.5
The quantity sold at 2% profit is = (3/8) * 2020 = 757.5
Diff between quantities = 505

Correct Option: 5 Best Solution (1)

Dr.Dipin Singh   4 years AGO

By alligation method, ratio of two lots of rice is 3:5.
Difference in their quanities in total quanity of 2020 kg = 2020*(5-3)/(5+3) = 2020/4=505 kg.

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