find selling price of goods if two salesman claim to make 21.66% profit each.one culculating if on cost Price while another on selling price,the difference in the profit earned being rs 1183 and selling Price being the same in both cases.
Answers
Answer:
Step-by-step explanation:
The selling price of goods if two salesman claim to make 21.66% profit each is Rs. 30,666.36
Step-by-step explanation:
It is given that both the salesman makes a profit of 21.66% each.
So, let the Seller 1 make a profit of 21.66% by calculating on C.P. and Seller 2 make a profit of 21.66% by calculating on S.P.
Step 1:
Considering Seller 2 first:
Let the S.P. of the good be “y”. …… (i)
So, his C.P. would be = y – (21.66/100)y = y - 0.2166y = 0.7834y
∴ Profit Seller 2 made = S.P. – C.P. = y – 0.7834y = 0.2166y ….. (ii)
Step 2:
Considering Seller 1:
Let the C.P. of the good “x”.
So, his S.P. will become = x + (21.66/100)x = x + 0.2166x = 1.2166x …… (iii)
∴ Profit Seller 1 made = S.P. – C.P. = 1.2166x – x = 0.2166x ….. (iv)
Step 3:
Since it is given that the S.P. in both the cases is the same, so, we can write from (i) & (iii),
y = 1.2166x
⇒ x = (1/1.2166) y
⇒ x = 0.8219y ….. (v)
Since the difference in the two profit earned is given as Rs. 1183, so, from (ii) & (iv), we have
0.2166y – 0.2166x = 1183
⇒ 0.2166[y-x] = 1183
⇒ y – x = 5461.68
⇒ y – 0.8219y = 5461.68 ….. [substituting from (v)]
⇒ 0.1781y = 5461.68
⇒ y = Rs. 30666.36
Thus, the selling price of the goods is Rs. 30666.36.
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