Rohit sold an aricle at a loss of 20% . If. he had sold it for 12 rupees more ,he would have gained 10%. Find the cost price
Answers
Answered by
2
✽ Question ✽
Rohit sold an article at a loss of 20%. If he had sold it for 12 rupees more, he would have gained 10%. Find the cost price.
✽ Given ✽
- Rohit sold an article at a loss of 20%.
- If he had sold it for 12 rupees more, he would have gained 10%.
✽ To find ✽
The cost price.
✽ Solution ✽
Let the CP be ₹ x.
So, SP at 20% loss
= ₹ {x - (20% of x)}
= ₹ (x - 20x/100)
= ₹ (100-20)x/100
= ₹ 80x/100
And SP at 10% profit
= ₹ {x + (10% of x)}
= ₹ (x + 10x/100)
= ₹ (100+10)x/100
= ₹ 110x/100
According to condition,
110x/100 - 80x/100 = 12
→ (110-80)x/100 = 12
→ 30x/100 = 12
→ 30x = 12×100
→ 30x = 1200
→ x = 1200/30
→ x = 40
✽ Hence ✽
x = 40
CP = ₹ x = ₹ 40
✽ Therefore ✽
The cost price of the article is ₹ 40.
◎ Hope this helps you.◎
Similar questions