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:
- A210
- B207
- C203
- D220
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.
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.