A bought a number of mangoes at 2 for ₹5 and an equal number at 3 for ₹5. To make a profit of 20% she should sell a dozen for:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1i.e. ₹30
Let A buy 2 mangoes for ₹5
A also buys 3 mangoes for ₹5
Formula used
Profit % = (Profit/C.P.) × 100
⇒ 2 mangoes = Rs 5 ............(1
⇒ 3 mangoes = Rs 5 .............(2
Multiplying equation 1 by 3 and equation 2 by 2
⇒ 6 mangoes = Rs 15......(3
⇒ 6 mangoes = Rs 10......(4
By adding equation 3 and 4
⇒ 12 mangoes = Rs 25
⇒ C.P. = Rs 25 per dozen
Calculation
⇒ 20 = [(S.P. - 25)/25] × 100
⇒ S.P. = 5 + 25 = Rs. 30
Hence, he sells mangoes in Rs. 30 per dozen