Due to a 25% fall in the shares one can buy 12 shares more than before by investing Rs. 16,200. The original rate per share is?
1. Rs. 420
2. Rs. 450
3. Rs. 400
4. Rs. 480
1. Rs. 420
2. Rs. 450
3. Rs. 400
4. Rs. 480
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Correct Answer – Option 2 : Rs. 450
Given:
Fall of shares = 25%
Due to fall in the share one can buy 12 shares more than before by investing Rs. 16,200
Calculation:
Let original price of a share be 100x
So, new price of a share = 100x × 75/100 = 75x
According to the question,
Here, 25% reduction of rate allowed 12 more shares at Rs. 16,200
⇒ (16,200/75x) – (16,200/100x) = 12
⇒ 216/x – 162/x = 12
⇒ 54 = 12x
⇒ x = 4.5
Original price of a shares = 100x = 450
∴ Original price of a shares is Rs. 450