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A man sold an article for Rs. 217, there by gaining 8.5%. The cost of the article (in Rs. ) was:
Question

A man sold an article for Rs. 217, there by gaining 8.5%. The cost of the article (in Rs. ) was:

A.

198

B.

238

C.

235

D.

200

Correct option is D

Given:

Selling Price (SP) = ₹217

Gain = 8.5%

Formula Used:

SP = CP ×(1+Gain%100)\times \left(1 + \frac{\text{Gain\%}}{100}\right)​​

Solution:

217 = CP ×(1+8.5100)\times \left(1 + \frac{\text{8.5}}{100}\right)​

CP = 2171+8.5100 \frac{217}{1 + \frac{8.5}{100}}​​

= 2171.085\frac{217}{1.085}​​

= ₹200

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