Question

By selling a speaker for ₹ 768, a man loses 20%. In order to gain 20%, how much should he sell the speaker?

• A. ₹ 960
• B. ₹ 1056
• C. ₹ 1152
• D. ₹ 1280

Answer 1

The correct option is C ₹ 1152

Given,
SP of speaker = ₹ 768
Loss% = 20%

We know,
SP = CP $\times$ {(100 - Loss%)/100}

Now, putting the given value in the formula

⇒768 = CP $\times$ {(100 - 20)/100}
⇒CP = (768 $\times$ 100)/80
⇒CP = 960

For gain of 20%,

SP = CP{(100 + gain%)/100}
= 960{(100 + 20)/100}
= 960 $\times$ (120/100)
= 96 $\times$ 12
= 1152

So, the shopkeeper should sell the speaker for ₹ 1152