Option 1 : RS. 2400

Let A pay Rs. x for the toy originally.

∴ B bought the toy at Rs. (x + 0.15x)

Again, B sold it at 20% profit gaining Rs. 552.

So, 552 = 20% of (x + 0.15x)

⇒ 552/0.2 = 1.15x

⇒ x = 2400

__Alternate Method__

Let say A's cost price for the toy be Rs. 100

At 15%, he sold it to B,

Selling price of A = Cost price of B = Rs. 115

Now B sold it back to A at 20% profit,

B's profit = 20% of 115

⇒ B's profit = 1/5 × 115 = 23

According to the question,

⇒ 23 = 552

⇒ 1 = 552/23

⇒ 1 = 24

Cost price of A = 100 × 24

⇒ Rs. 2,400

**∴ Cost price of a toy for A is Rs. 2,400.**

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