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A man purchased some eggs at 3 for ₹16 and sold them at 5 for ₹36. Thus he gained ₹168 in all. How many eggs did he purchase? Hint: let the number of eggs bought be x. then, CP = ₹ ((16/3) × x) = ₹ (16x/3) and SP = ₹ ((36/5) × x) = ₹ (36x/5).

Answer:

Let us consider the number of eggs as x

The CP of 10 eggs = ₹16x

CP of 1 egg = ₹16x/3

SP of an egg = ₹36x/5

Since SP is more than CP so it’s again.

Gain = SP – CP = (36x/5) – (16x/3) = 168

By taking the LCM 5 and 3 we get, (108x-80x)/15 = 168

∴ 28x =168 × 15

x = (2520) /28

x = 90

**∴ the number of eggs is 90**

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