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The marked price of a watch is Rs. 800. A shopkeeper gives two successive discounts and sells the watch at Rs. 612. If the first discount is 10%, the second discount is
  • a)
     12%
  • b)
     20%
  • c)
     15%
  • d)
     10%
Correct answer is option 'C'. Can you explain this answer?
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The marked price of a watch is Rs. 800. A shopkeeper gives two success...
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The marked price of a watch is Rs. 800. A shopkeeper gives two success...
**Solution:**

Let's assume the second discount is x%.

Given:
Marked price of the watch = Rs. 800
First discount = 10%
Second discount = x%
Selling price of the watch = Rs. 612

**Calculation:**

Discounted price after the first discount:
= Marked price - (First discount/100) * Marked price
= Rs. 800 - (10/100) * 800
= Rs. 800 - 80
= Rs. 720

Now, let's apply the second discount on the discounted price:
Discounted price after the second discount:
= Selling price of the watch
= Rs. 612

So, we have the equation:
Discounted price after the second discount = Discounted price after the first discount - (Second discount/100) * Discounted price after the first discount

Rs. 612 = Rs. 720 - (x/100) * Rs. 720

Now, let's solve the equation to find the value of x.

Rs. 612 = Rs. 720 - (x/100) * Rs. 720
Rs. 612 = Rs. 720 - (x/100) * 720
Rs. 612 = Rs. 720 - 7.2x
7.2x = Rs. 720 - Rs. 612
7.2x = Rs. 108
x = Rs. 108 / 7.2
x = 15

Therefore, the second discount is 15%, which corresponds to option C.
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The marked price of a watch is Rs. 800. A shopkeeper gives two success...
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The marked price of a watch is Rs. 800. A shopkeeper gives two successive discounts and sells the watch at Rs. 612. If the first discount is 10%, the second discount isa)12%b)20%c)15%d)10%Correct answer is option 'C'. Can you explain this answer?
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