Question

A person sold a table at a gain of 15%. Had he bought it for 25% less and sold it for ₹60 less, he would have made a profit of 32%. The cost price of the table was

Options

• ₹300

• ₹350

• ₹375

• ₹400

Answer 1

₹375
Explanation : 
Let the cost price of table = ₹ x
Then, selling price with 15% gain

= `((100+Ga i n )xxCP)/100`

= `((100+15 )xxCP)/100`

= `(115xxx)/100=₹(115x)/100`

New CP = `((100-25%)xxCP)/100=₹ (75x)/100`

New SP = ₹`((115x)/100-60)`

Now, according to the question,

`(((115x)/100-60)-(75x)/100)/((75x)/100 )xx100=32`

⇒ `(115x-6000-75x)/((100)/((75x)/100))xx100=32`

⇒ `(40x-6000)/(75x)xx100=32`

⇒ `(40x-6000)/(3x)xx4=32`

⇒ `160x-24000=96x`

⇒ `160x-96x=24000`

⇒ `64x=24000`

⇒ `x=24000/64`

⇒ `x=₹375`

∴ The cost price of table is ₹375.