Question

By selling a watch for 1440 a man loses 10 percentage. At what price should he sell it to gain 5 percentage?​

Answer 1

AnswEr :

⠀

He Should Sell that Watch at Rs. 1680

⠀

Explanation :

• A Man Sell a Watch at Rs. 1440 and incurred 10% Loss.
• At What Price He Should sell that Watch to Gain 5% Profit.

▣ SP = Rs. 1440

▣ Loss% = 10%

▣ Gain% he Wants = 5%

We Know the Formula :

$\large\boxed{\bf{SP = CP \times \frac{(100 - Loss\%)}{100}}}$

➟ SP = CP × $\large\bf{\frac{(100-10)}{100}}$

➟ 1440 = CP × $\large\bf{\frac{(90)}{100}}$

➟ 16 × 100 = CP

➟ CP = Rs. 1600

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$\large\boxed{\bf{SP = CP \times \frac{(100 + Gain\%)}{100}}}$

➟ SP = CP × $\large\bf{\frac{(100+5)}{100}}$

➟ SP = 1600 × $\large\bf{\frac{(105)}{100}}$

➟ SP = 16 × 105

➟ SP = Rs. 1680

$\large\therefore$ If He want to Gain 5% Profit the watch must Sell at Rs. 1680

Answer 2

Answer :

• Cost Price of the watch :

Loss = 10%

SP = 100 - 10 = 90%

SP = Rs 1440 [ Given ]

➡ 90% = 1440

➡ 1% = 1440 ÷ 90  = 16

➡ 100% = 16 x 100 =

➡ Cost Price = Rs. 1600

• The New Selling Price :

Profit = 5%

Profit = 5% of Rs 1600 = 5 × 16 = Rs. 80

➡ Selling Price = Cost Price + Profit

➡ Selling Price = 1600+ 80

➡ Selling Price = Rs. 1680

◐ To Get Desired Profit 5% He Must Sell Watch at Rs. 1680