98. Vineet calculates his profit percentage on
the selling price while Roshan calculates
his profit on the cost price. They find that
the difference of their profits is 275. If
the selling prices for both of them are the
same, Vineet gets 25% profit and Roshan
gets 15% profit. Then the selling price
will be
(A) 32,100
(B) 72,300
(C) 72,250
(D) None of the above
Answers
If the selling prices for both of them are the same and Vineet gets 25% profit and Roshan gets 15% profit, then the selling price will be Rs. 2300.
Step-by-step explanation:
Step 1:
Let the CP for Roshan be Rs. “x”.
Roshan gets 15% profit
It is given that Roshan calculates his profit% on the C.P.
So, S.P. for Roshan = 115% of x = 115/100 * x = Rs. [23x/20]
∴ Profit % on S.P. for Roshan
= [(S.P. – C.P/S.P) * 100]
= [(23x/20) – x]/(23x/20) * 100
= [300/23]%
Step 2:
Since we are given that the S.P. for both Vinnet and Roshan are same, so we can consider the S.P. to be Rs. “y”.
Also, It is given that Vineet calculates his profit % on the S.P. and the profit% for Vineet = 25%
According to the question, we have
[Profit for Vineet] – [Profit for Roshan] = 275
⇒ [25% of y] – [(300/23)% of y] = 275
⇒ [y/4] – [3y/23] = 275
⇒ [23y – 12y] / [4 * 23] = 275
⇒ 11y/92 = 275
⇒ y = 275 * 92 / 11
⇒ y = Rs. 2300
Thus, the selling price will be Rs. 2300.
Hope this is helpful!!!!!