Question

By selling a book for Rs. 144 a man loses 1/2 of his outlay. If he sells it for RS 189 what will be his gain percentage?

Answer 1

By selling a book for Rs. 144, a man loses 1/7 of his outlay. If it is sold for Rs. 189, then the gain is 12.5 %

[ To gain, the loss of outlay be 1/7th. ]

Step-by-step explanation:

Let the cost price of the book be Rs. X

The loss of outlay is Rs. X/7.

Given that,

Selling price of the book is Rs. 144

or, X - X/7 = 144

or, 6X/7 = 144

or, X = 144 * 7/6

or, X = 168

So the cost price of the book is Rs. 168

If the book is sold for Rs. 189,

the profit = Rs. (189 - 168) = Rs. 21

Therefore gain percentage is

= 21/168 * 100 %

= 100/8 %

= 12.5 %

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Answer 2

Answer:

By selling the book at rs 189 the man makes a loss of 34.38%

Step-by-step explanation:

Let the cost price of the book be = Rs x

If the man losses ½ of his outlay the loss becomes = ½x

Since the item was sold at a loss, the selling price is equal to:

= x - ½x = ½x

Now, since we have the selling price, we write this as follows:

144 = ½x

x = 144 × 2 = 288

= Rs 288

Now he sells the book at Rs 189

Now we have:

Cost price = 288 rs

Selling price = 189 rs

Since the selling price is lower than the cost price, the man makes a loss.

Loss = 288 - 189 = Rs 99

The loss percent is given by:

99/288 × 100% = 34.38%

The man makes a loss of 34.38%