Question

26. A man sold an article at 10% loss . If he had taken Rs. 45 more, the gain would have been 8%. What is
its cost price?
1) Rs.200 2) Rs.275 3) Rs. 250 4)Rs. 300
5) None of these​

Answer 1

Answer:

4) Rs 300

Step-by-step explanation:

Let the CP be Rs 100,

So the SP in first case becomes = Rs. 100 + 10% of 100

=> 100+10= 110

In the case of 25% gain, SP= Rs.125

So the difference in both SP is= 125–110= 15

But the actual difference is = 45

So when the difference value is 15, then the actual value of difference = 45

when the value is 1, then the actual value = 45/15

when the value of CP is 100, then the actual value of CP is = 45/15 x 100

So the actual value of CP is = Rs. 300

HOPE IT HELPS!!

Answer 2

Answer: Rs. 250
Let the cost price of the article is 100.
In 1st case sell price will be [100-(100*10/100)]= 90
In 2nd case sell price will be [100+(100*8/100)]= 108
Difference b/w these sell prices is (108-90)= 18
But according to question this difference is 45
Comparing both side, we can say
18 = 45
Then 100 = 45*100/18 = 250
Therefore, the cost price is Rs. 250