Question

If there is a loss of 10% on selling an item for 9000, then for how much should it be sold to get a profit of 20% ? (a) *10000 (b) ₹12000 (c) 12600 (d) *10500 ​

Answer 1

Answer:

(b) ₹12,000

Explanation:

Given that,

On selling an item for ₹9,000 gives 10% loss.

So here,

S. P.(selling price) is ₹9,000

And loss is 10%

C. P. of the item is given by,

{ \rm = \dfrac{100 }{100 - loss\%} \times S. P.}=

100−loss%

100

×S.P.

By the given values,

= \dfrac{100}{100 - 10} \times 9000=

100−10

100

×9000

= \dfrac{100}{90} \times 9000=

90

100

×9000

= 10000=10000

∴ The C. P. of the item is ₹1,00,00

Now, the item is to be sold in 20%

So,

= 10000 + (20% of 10000)

= 10000 + (20/100 × 10000)

= 10000 + 2000

= 12000

Hence, the item is to be sold in ₹12,000 to gain 20%.