Mathematics
Assertion (A) : Two successive discounts of 10% and 5% are equal to a single discount of .
Reason (R) : Rate of discount = .
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Profit, Loss & Discount
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Answer
Let M.P. = ₹ 100
1st discount = 10% of ₹ 100
= ₹
= ₹ 10
Discounted price = ₹ 100 - ₹ 10 = ₹ 90
2nd discount = 5% of ₹90
= ₹
= ₹ 4.50
Final discounted price = ₹ 90 - ₹ 4.5 = ₹ 85.50
Total discount = M.P. - Final discounted price
= ₹ 100 - ₹ 85.5 = ₹ 14.5
Since the discount of ₹ 14.5 is on ₹ 100.
∴ Single equivalent discount%
So, assertion (A) is true.
By formula,
Discount % =
So, reason (R) is false.
Hence, option 3 is the correct option.
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