A person sold an article for ₹ 136 and got 15% loss, had he sold it for ₹ N, he would have got a profit of 15%. Which one of the following is correct?

Q: A person sold an article for ₹ 136 and got 15% loss, had he sold it for ₹ N, he would have got a profit of 15%. Which one of the following is correct?

Cost price = (selling price x 100)/(100 - loss%) = (136 x 100)/(100 - 15) = (136 x 100)/85 = ₹ 160 Selling price (N) = 160 x (100 + 15)/100 = (160 x 115)/100 = ₹ 184 ∴ Option (b) is correct because [180 < N < 190].

190 < N < 200
180 < N < 190
170 < N < 180
160 < N < 170

Correct Answer: 180 < N < 190

Explanation:

Cost price = (selling price x 100)/(100 - loss%)
= (136 x 100)/(100 - 15)
= (136 x 100)/85
= ₹ 160
Selling price (N) = 160 x (100 + 15)/100 = (160 x 115)/100
= ₹ 184
∴ Option (b) is correct because
[180 < N < 190].

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