Question

Paul sold an item for $1000 at a loss of 5%. Ken sold the same item for $1200 at al of %. Who incurred a greater loss in terms of amount?

Ops: A. Cannot say

B. Paul

C. Ken

D. Both have an equal loss​

Answer 1

Given :- Paul sold an item for $1000 at a loss of 5%. Ken sold the same item for $1200 at a loss of 5 %. Who incurred a greater loss in terms of amount?

Ops: A. Cannot say

B. Paul

C. Ken

D. Both have an equal loss

Answer :-

→ SP of paul = 1000

→ loss = 5%

so,

→ CP = 1000 * 100 / 95 ≈ $1052.63

then,

→ Loss = CP - SP = 1052.63 - 1000 = $52.63

and,

→ SP of ken = $1200

→ loss = 5%

→ CP = 1200 * 100 / 95 = $1263.15

then,

→ Loss = CP - SP = 1263.15 - 1200 = $63.15 .

since,

→ 63.15 > 52.63

therefore, ken incurred a greater loss in terms of amount .

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Answer 2

HELLO DEAR,

GIVEN:- Paul sold an item for $1000 at a loss of 5%. Ken sold the same item for $1200 at al of %.

TO FIND:- Who incurred a greater loss in terms of amount?

SOLUTION:- Loss = C.P - S.P

Let the C.P of Paul iteam = X, and is 95% of the total cost.

X × 95 % = 1000

X × 95/100 = 1000

X × 95 = 100 × 1000

X =(100 × 1000) / 95

X = 1052.63

Loss of Paul = 1052.63 - 1000

Loss of Paul = 1052.63 - 1000 = $52.63

Let the C.P of Ken iteam = X, and is 95% of the total cost.

X × 95 % = 1200

X × 95/100 = 1200

X × 95 = 100 × 1200

X =(100 × 1200) / 95

X = 1263.15

Loss of Ken = 1263.15 - 1200

Loss of Ken = 1263.15 - 1200 = $63.15

So, loss of Ken is more as compare to Paul.

Therefore, (C) Ken is correct option.

THANKS.