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A watch of marked price Rs. 1200 is sold at successive discounts of 5% and 8%. Find its selling price.
Question

A watch of marked price Rs. 1200 is sold at successive discounts of 5% and 8%. Find its selling price.

A.

1,048.80

B.

1,052.60

C.

1,070.85

D.

1,085.65

Correct option is A

Given:
Marked Price = 1200
Discounts = 5% then 8%
Formula Used:
Successive discount: SP=MP×(1d1100)×(1d2100)\text{Successive discount: } SP = MP \times \left(1 - \frac{d_1}{100}\right) \times \left(1 - \frac{d_2}{100}\right)
Solution:

After 1st discount, Selling Price=1200×95100=1140 After 2nd discount, Selling Price=1140×92100=1048.80\text{After 1st discount, Selling Price} = 1200 \times \frac{95}{100} = 1140\\\ \\\text{After 2nd discount, Selling Price} = 1140 \times \frac{92}{100} = 1048.80​​

Selling price = Rs. 1048.80
Alternate Solution:
Net discount=5+85×8100=12.6% SP=1200×(10.126)=1048.8\text{Net discount} = 5 + 8 - \frac{5 \times 8}{100} = 12.6\%\\\ \\SP = 1200 \times (1 - 0.126) = 1048.8​​

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