A merchant has 420 kg of sugar, part of which he sells at 11% loss and the rest at 9% profit. He gai

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04 Oct 2017 Mixture

A merchant has 420 kg of sugar, part of which he sells at 11% loss and the rest at 9% profit. He gains 7% on the whole. What is the difference between the quantities of sugar sold at 9% profit and that sold at 11% loss?

OPtion

1) 334 kg
2) 335 kg
3) 338 kg
4) 336 kg
5) 378 kg
6) 42 kg
7) 48 kg
8) 52 kg
9) 40 kg
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) = (109 - 107)/(107-89) = 2/18 = 1/9

Total Quantity = 420 KG

The quantity sold at 9% profit is = (9/10) * 420 = 378 Kgs
The quantity sold at 11% loss is = (1/10) * 420 = 42 Kgs
Diff between quantities = 378-42 = 336 KGs

Option 4)

Correct Option: 4 Best Solution (5)

G.S.Kantharao   7 years AGO

Quantity of cheaper//Quantity of dearer = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper) = (109-107)/(107-89)=2/18=1/9
Quantity of difference = 420Kg×8/10 = 336Kg.
Hence the right option is 4👈.

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Akash Munde   7 years AGO

By alligation and mixture
-11. 9
7
(9-7=2). 7-(-11)=18
Ratio is 2:18
1:9
Means 11%loss is 42kg
Difference is 378-42=336

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Anupam Tripathi   7 years AGO

Loss:- 11+7=18
and Profit:- 9-7=2
So 2:18=1:9
Profit-loss%=
(1/10)*420=42
And (9/10)*420=378
So 378-42=336

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atheesh padala   7 years AGO

373.8,11% loss
457.8,9% profit
449.4,7% profit

75.6
8.4
1:9

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Juned A Hashmi   7 years AGO

By alligation the ratio of mixture is 1 : 9.
Hence, difference in quantity = (8/10) x 420 = 336

Like? Yes | No