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By selling 35 eggs for Rs 30, a man loses 25%. How many eggs should he sell for Rs 144 to gain 20%?
Question

By selling 35 eggs for Rs 30, a man loses 25%. How many eggs should he sell for Rs 144 to gain 20%?

A.

85

B.

95

C.

105

D.

115

Correct option is C

Given:

He sells 35 eggs for ₹30 and loses 25%.

So Selling Price (SP) of 35 eggs = ₹30
Loss = 25%

Step 1: Find Cost Price (CP) of 35 eggs

Loss% = 25%
So SP = 75% of CP

Thus,
30 = (75/100) × CP
CP = 30 × 100/75
CP = 40

CP of 35 eggs = ₹40

So CP per egg = 40/35
= ₹1.142857…

Step 2: To gain 20%, Selling Price must be:

SP = CP × (120/100)
= CP × 1.2

So SP per egg = 1.142857 × 1.2 = 1.371428…

Step 3: How many eggs for ₹144?

Let number of eggs = n

n × (SP per egg) = 144
n × 1.371428 = 144
n = 144 / 1.371428
n ≈ 105 eggs

Final Answer: 105 eggs

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