Question

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​

Answer 1

✽ 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 = 1200 {cross multiplication}

→ x = 1200/30

→ x = 40

✽ Hence ✽

CP = ₹ x = ₹ 40

✽ Therefore ✽

The cost price is ₹ 40.

◎ Hope this helps you.◎