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Rashid sells a book at a gain of 20%. If he had sold it at ₹34.51 more, he would have gained 37%. The cost price (in ₹) of the book is:

  1. A
    210
  2. B
    207
  3. C
    203
  4. D
    220

Solution & Step-by-step Explanation

Let the cost price of the book be CP.
Initially, the book is sold at a gain of 20%, so the initial selling price is:

SP
1

=1.20×CP
If it had been sold for ₹34.51 more, the new selling price would be:

SP
2

=SP
1

+34.51
At this new selling price, the gain is 37%, so:

SP
2

=1.37×CP
Therefore, we can set up the equation:

1.37×CP−1.20×CP=34.51
0.17×CP=34.51
CP=
0.17
34.51


CP=
17
3451

=203
The cost price of the book is ₹203.

Practice this question

Try it yourself before checking the explanation above.

Rashid sells a book at a gain of 20%. If he had sold it at ₹34.51 more, he would have gained 37%. The cost price (in ₹) of the book is:
A
210
B
207
C
203
D
220

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