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Given below are two statements: Statement (I): A man sells his goods at 10% profit. If he sells his goods at 15% profit, he gets 160 more. The cost
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Given below are two statements:
Statement (I): A man sells his goods at 10% profit. If he sells his goods at 15% profit, he gets 160 more. The cost price of his goods is t 4.200.
Statement (II): A man spends 80% of his earnings. His earnings increased by 25% and his expenses increased by 20%. The man's savings thus increased by 45%.
In the light of the above statements, choose the correct answer from the options given below:

A.

Both Statement (I) and Statement (II) are true

B.

Both Statement (I) and Statement (II) are false

C.

Statement (I) is true but Statement (II) is false

D.

Statement (I) is false but Statement (II) is true

Correct option is D

Given,
A man sells his goods at 10% profit. When he sells his goods at 15% profit, he gets Rs. 160 more.
Suppose, that the cost price is y. Then the sells price,
SP = (10 / 100) × y
When he sells his goods at 15% profit, he gets Rs. 160 more. Thus,
(15 / 100) × y = (10 / 100) × y + 160
15y - 10y = 16000
y = Rs. 3200
Hence, the statement 1 is false.
Now statement 2,
A man spends 80% of his earnings. Suppose, he earns Rs. 100. Then, expenses will be Rs. 80 and saving will be Rs. 20.
New earning = 100 + [(25 / 100) × 100] = 125
New expenses= 80 + [(20 / 100) × 80] = 96
So his new saving = 125 - 96 = 29
The percentage increase of this saving comparing with old savings= (29−20)/20×100=45%
Therefore, the second statement is also true.

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