Question:medium

Naresh bought a bicycle each for his two sons, each bicycle priced at Rs. 3500. If the first bicycle is sold at a profit of 5%, the how much should the other bicycle be sold for, to gain a total of 20% on both?

Updated On: Jul 15, 2026
  • 15%
  • 10%
  • 25%
  • 35%
Show Solution

The Correct Option is D

Approach Solution - 1

Step 1: Understanding the Question.
Naresh bought two bicycles, each priced Rs. 3500, so together they cost Rs. 7000. The first is sold at 5% profit. We need the profit percent on the second bicycle so that the combined profit on both is 20%.

Step 2: Key Formula or Approach.
First find the total selling price needed for an overall 20% profit, then subtract what the first bicycle already brought in to get the required selling price of the second, and convert that to a profit percentage.

Step 3: Detailed Explanation.
Total cost of both bicycles:
\[ 3500 + 3500 = 7000 \]
Required total selling price for 20% overall profit:
\[ 7000 \times 1.20 = 8400 \]
Selling price of the first bicycle at 5% profit:
\[ 3500 \times 1.05 = 3675 \]
Required selling price of the second bicycle:
\[ 8400 - 3675 = 4725 \]
Profit on the second bicycle:
\[ 4725 - 3500 = 1225 \]
Profit percentage on the second bicycle:
\[ \frac{1225}{3500} \times 100 = 35\% \]

Step 4: Final Answer.
The second bicycle should be sold at a 35% profit to make the overall profit on both bicycles 20%. \[ \boxed{35\%} \]
Was this answer helpful?
0
Show Solution

Approach Solution -2

Since both bicycles cost the same amount, Rs. 3500 each, the overall profit percentage on the pair is simply the average of the two individual profit percentages, without needing to weight one more than the other. If the required overall profit is 20% and the first bicycle was sold at 5% profit, then the second bicycle's profit percentage \( x \) must satisfy \[ \frac{5+x}{2}=20. \] Solving, \( 5+x=40 \), so \( x=35 \). Test each option against this average-based equation.

  1. Option (A): 15%: Averaging 5% and 15% gives \( \frac{5+15}{2}=10\% \), well below the 20% overall profit required.
  2. Option (B): 10%: Averaging 5% and 10% gives \( \frac{5+10}{2}=7.5\% \), even further from the 20% target.
  3. Option (C): 25%: Averaging 5% and 25% gives \( \frac{5+25}{2}=15\% \), still short of the required 20%.
  4. Option (D): 35%: Averaging 5% and 35% gives \( \frac{5+35}{2}=20\% \), exactly matching the overall profit target.

Because the two bicycles share the same cost price, their profit percentages average directly to the overall profit percentage, and only 35% on the second bicycle brings that average to the required 20%.

Therefore, the correct answer is 35%.

Was this answer helpful?
0

Top Questions on Percentage

Questions Asked in CLAT exam

Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. A new order cannot be established without radically changing the mind and attitude of men towards property and, at some stage or the other, the 'haves' have to yield place to the 'have-nots'. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. It may even be that, like a gas kept confined within containers under great pressure, or water held back by a big dam, once the barrier breaks, the reaction will one day sweep back with a violence equal in extent and intensity to what was used to establish and maintain the outward egalitarian form. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. If egalitarianism is to endure, it has to be based not on the possession of the maximum material goods by a few or by all but on voluntary, enlightened renunciation of those goods which cannot be shared by others or can be enjoyed only at the expense of others.

According to the passage, egalitarianism will not survive if
View Solution
Read the passage and answer the question.

Passage (extract): The work which Gandhiji had taken up was not only regarding the achievement of political freedom but also the establishment of a new social order based on truth and non-violence, unity and peace, equality and universal brotherhood and maximum freedom for all. This unfinished part of his experiment was perhaps even more difficult to achieve than the achievement of political freedom. In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. In establishing a social order on this pattern, there was a strong possibility of a conflict arising between diverse groups and classes of our own people.

According to the passage, which was the unfinished part of Gandhi's experiment?
View Solution
Read the passage and answer the question.

Passage (extract): In the political struggle, the fight was against a foreign power and all one could do was either join it or wish it success and give it his/her moral support. Experience shows that man values his possessions even more than his life because in the former he sees the means for perpetuation and survival of his descendants even after his body is reduced to ashes. We have seen, in our time, attempts to achieve a kind of egalitarian society and the picture of it after it was achieved. But this was done, by and large, through the use of physical force. This enforced egalitarianism contains, in its bosom, the seed of its own destruction. The root cause of class conflict is possessiveness or the acquisitive instinct.

Which of the following statements is 'not true' in the context of the passage?
View Solution