A space research company wants to sell its two products A and B. If the product A is sold at 20% loss and the product B at 30% gain, the company will not lose anything. If the product A is sold at 15% loss and the product B at 15% gain, the company will lose Rs. 6 million in the deal. What is the cost of product B ?
A. Rs. 80 million
B. Rs. 100 million
C. Rs. 120 million
D. Rs. 140 million
Answer: Option A
Solution(By Examveda Team)
Let the cost of product A be Rs. x and B be Rs. yAccording to first sell
0.80x + 1.3y = x + y
⇒ 0.2x = 0.3y
⇒ x = $$\frac{3\text{y}}{2}$$ . . . . . . (i)
According to second sell
0.85x + 1.15y = (x + y) - 6
⇒ 0.15y = 0.15x - 6 (Multiply by 100)
⇒ 15y = 15x - 600 (Putting the value of x)
⇒ 15y = 15 × $$\frac{3\text{y}}{2}$$ - 600
⇒ 15y = $$\frac{45\text{y}}{2}$$ - 600 (Multiply by 2 both side)
⇒ 30y = 45y - 1200
⇒ 15y = 1200
⇒ y = 80 million
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Comments ( 1 )
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
I can find this same solution in R.S Aggarwal also , can you please elaborate the steps rather than copying the same from the solutions of the book .