Question

28. A man sold an article at a profit of 25%. If he had bought it at 10% less and sold for Rs.10 more ,the gain would have been 40%. Cost price is 1) 1,000 2) Rs. 1,500 3) Rs, 2,000 4) Rs. 1,100 5) None of these​

Answer 1

Answer:

1.) 1,000 ✔️

Cost price of an article = Rs. 1,000

Step-by-step explanation

Let the cost price of an article = Rs. 100

Original profit = 25/100 × 100

Original profit = Rs. 25

➾ S.P. = (100 + 25)/100 × 100

➾ S.P. = 125/100 × 100

➾ S.P. = Rs. 125

Now, if he had bought it at 10% less then the cost price of an article,

➾ New C.P. = 100 - 10

➾ New C.P. = Rs. 90

With 40% profit selling price of an article would be,

➾ S.P. = (100 + 40)/100 × 90

➾ S.P. = 140/100 × 9

➾ S.P. = 14/10 × 90

➾ S.P. = Rs. 126

Now, the difference between S.P. in both the cases when C.P. is 100,

➾ Difference between two selling price = 126 - 125

➾ Difference between two selling price = Rs. 1

Now, we need to find C.P. when the difference between two selling price is Rs. 10

= 100/1 × 10

= Rs. 1000

_______________________

Answer 2

Step-by-step explanation:

Given that a man sold an article at a profit of 25%. If he had bought it at 10% less and sold for Rs.10 more ,the gain would have been 40%.

We need to find out the cost price.

Let's say the cost price is 100.

He made an profit of 25%. So, profit = 25/100 × 100 = 25

Selling price = 100 × (25 + 100)/100 = 125

Now, given that he sold for Rs. 10. Means cost price = 100 - 10 = 90

He sold for Rs. 10 more than the gain would have been 40%.

→ CP = 90

→ Gain = 40%

SP = (140*90)/100

SP = 126

Selling price difference = 126 - 125 = 1%

1% = 10

100% = 10/ × 100 = 1000

Hence, the correct option is 1) Rs. 1000