Question

Arun sold a T.V. set at a loss of 12%. If he had sold it for 3200 more, he would have gained 20%.

Answer 1

Appropriate Question-

Arun sold a T.V. set at a loss of 12%. If he had sold it for 3200 more, he would have gained 20%, for how much did he buyed it?

Solution-

Let the cost price of the Television be 'x'

As, According to the given condition -

$= > (100 + 20\%)x \: - (100 - 12\%)x = 3200\\ \\ = > \frac{120}{100} x\: - \frac{88}{100} x = 3200\\ \\ = > \frac{32}{100} x = 3200 \\ \\ = > 32x = 3200 \times 100 \\ \\ = > 32x = 320000 \\ \\ = > x = \frac{320000}{32} \\ \\ = > x = 10000$

Therefore, the cost price of Television is 10000

________________________________

MOREOVER-

• Profit = Selling price - Cost price

Percentage Profit = Profit / Cost price × 100

• Loss = Cost price - Selling price

Percentage Loss = Loss / Cost price × 100