Question

If there is a loss of 10% on selling an item for Rs. 9000, then for how much should it be sold to get

a Profit of 20%?

(a) Rs10000 (b) Rs 12000 (c)Rs12600 (d) Rs 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,

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

By the given values,

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

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

$= 10000$

∴ 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%.

_____________________

Additional Formulae :-

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

${ \rm C. P. = \dfrac{100 }{100 + profit\%} \times S. P.}$

${ \rm S. P. = \dfrac{100 + gain\% }{100} \times C. P.}$

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