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Abir sells an article to Kunal at the profit of 15% and Kunal sells it to Amar at the profit of 10%. If Amar pays ₹5,060 for it, what was its original
Question

Abir sells an article to Kunal at the profit of 15% and Kunal sells it to Amar at the profit of 10%. If Amar pays ₹5,060 for it, what was its original cost price?

A.

₹4,500

B.

₹6,000

C.

₹5,000

D.

₹4,000

Correct option is D

Given:

Profit by Abir = 15%

Profit by Kunal = 10%

Final price paid by Amar = ₹5,060

Solution:
Let original cost price be ₹x

x×(1+15100)×(1+10100)=5060x \times \left(1 + \frac{15}{100}\right) \times \left(1 + \frac{10}{100}\right) = 5060​​

x×1.15×1.10=5060 x×1.265=5060 x=50601.265=4000x \times 1.15 \times 1.10 = 5060\\ \ \\ x \times 1.265 = 5060 \\ \ \\ x = \frac{5060}{1.265} = 4000​​

Thus, The original cost price was ₹4,000

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