After sale in a first week, there were x% items left out of the total stocked items in a store. In n

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07 Apr 2022 Percentage

After sale in a first week, there were x% items left out of the total stocked items in a store. In next week, when retailer stocked 30% more items and sold 40% more items, the remaining items increased by 20%. Find the value of x.

OPtion

1) 50
2) 30
3) 40
4) 35
5) 60
6) 55
7) 25
8) 22.5
9) 12.5
10) None of these

Solution

In the first week, let a retailer had total 100 items, Remaining items=x, so items sold=(100-x)
In next week, new stocked items (+30%) = 130, New Selling (+40%) = 1.4(100-x), Remaining items=130 - 1.4(100-x)
Given, new remaining items are 20% more than the initial ⇒ 130 - 1.4(100-x) = 1.2x
130 - 140 + 1.4x = 1.2x
0.2x = 10
x = 50

Correct Option: 1 Best Solution (1)

Mayank Kandoi   2 years AGO

Total = 100 130
Sold = 100-x (100-x) (140/100)
Left = x 12x/10

12x/10 = 130 - (140- 14x/10)
12x/10 = 130 - 140 + 14x/10
12 x = -100 + 14x
100 = 2x
x = 50

Option 1

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