Difference between 35% discount and two consecutive discounts 20% is rs 33
Answers
Explanation:
one discount is 35%
2nd two consecutive discount of 20%= -20-20+(20*20)/100
=-40+4
= -36%
= 36% discount
(36-35)%=Rs 33
1%= Rs 33
100%= Rs 33*100
= Rs 3300
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Answer:
The amount is Rs.3,300
Explanation:
Let "x" be the unknown amount.
Case 1
A discount of 35% has been applied on "x", which means the discounted value = x - 35% of x
= x - 0.35*x
= (1 - 0.35)*x
= 0.65*x ........Eqn 1
[Please note that 35% discount implies 65% of the original value]
Case 2
Two successive discounts of 20% have been applied on "x", which means the discounted value is:
0.8*0.8*x
= 0.64*x .......Eqn 2
[Note that a 20% discount means 80% of the original value, which means 0.8 times the original value. We have multiplied 0.8 twice as there are two successive discounts of 20%]
The difference between the two discounts is given to be Rs.33
=> 0.65*x - 0.64*x = 33
=> 0.01*x = 33
=> x = 33/0.01
=> x = 3300
Check:
3300 discounted by 35% is 2145
3300 discounted by 20% is 2640. A successive discount of 20% on 2640 gives 2112
Difference between 2145 and 2112 = 33 (as given in the sum)