Question

42. Left pan of a faulty weight weighs 100 gram more than its
right pan. A shopkeeper keeps the weight measure in the
left pan while buying goods but keeps it in the right pan
while selling his goods. He uses only 1 kg weight measure
If he sells his goods at the listed cost price, what is his
(2005)
gain?
(a)
200
11
%
(b)
100
%
11
1000
1%
200
(c)
(d)
-%
9
9​

Answer 1

Given :- Left pan of a faulty weight weighs 100 gram more than its right pan. A shopkeeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only 1 kg weight measure . If he sells his goods at the listed cost price, what is his gain ?

Solution :-

Let us assume that, CP of 1000gm (1kg) goods is Rs.x .

now, given that, he measure in the left pan while buying goods and Left pan of a faulty weight weighs 100 gram more than its right pan.

so,

→ goods he bought in Rs.x = 1000 + 100 = 1100 gm .

then,

→ CP of 1100 gm = Rs.x

→ CP of 1 gm = (x/1100)

→ CP of 900 gm = (x/1100) * 900 = Rs.(9x/11)

now, he uses right pan while selling his goods.

so,

→ goods he sells in Rs.x = 1000 - 100 = 900 gm .

then,

→ SP of 900 gm = Rs.x

therefore,

→ Gain = SP - CP = x - (9x/11) = Rs.(2x/11)

hence,

→ Gain % = (gain * 100) / CP = {(2x/11) * 100} / (9x/11) = (200/9)% (Ans.)

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