SSC CPO 2022 PYQ — Question 139

SSC CPO - 10 Nov 2022 - Shift 1 • Quantitative Aptitude • Q139

A man bought two bicycles for ₹3,000 each. If he sells one bicycle at a profit of 10%, then for how much percentage of profit should he sell the other bicycle so that he makes a profit of 20% on the whole?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 30 Percent

 The question says:-

A man bought two bicycles for ₹3,000 each. If he sells one bicycle at a profit of 10%.

Thus S.P (Sellin Price) of the first cycle would be 

⇒ C.P (Cost Price) + 10%(C.P) = ₹3,300

For selling the whole at 20 % profit we should sell both the bicycle together at:-

⇒ C.P + 20%(C.P) = (3000 + 3000) + (3000 + 3000)(20%) = (6000) + (20%)(6000) = ₹7,200

⇒Thus S.P of the second bicycle is = ₹7,200 - ₹3,300 = ₹3,900

Thus the profit on the second bicycle would be 

⇒ [(S.P - C.P)/CP]*100

⇒ [{3900-3000}/3000]*100

⇒ 30%