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The price of a book in four different shops and the successive discounts offered for the books is given below. Select the option in which the price of the book is the least.
(a) 10%, 5%, and 5% discount on Rs.195
(c) 12.5% and 12.5% discounts on Rs.205
(b)25%, discount on Rs.200
(d) 10%, and 15% discounts on a marked price of Rs.190
Read Solution (Total 11)
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- we know that there is a formula on discount of m% and n% respectively which is(m+n-mn/100)%.According to this for first case,total discount is 18.775%,so after discount the price of the book is Rs.158.38.For second case total discount is 23.4375%,so the price of the book after discount is Rs.156.95.For third case after discount the pice of the book is Rs.150.For last case total discount is 23.5% and the price of the book after discount is Rs.145.35.
So ans is option d in which the price is least. - 11 years agoHelpfull: Yes(29) No(1)
- option a:195*90*95*95/(100^3)=158.38
option b:205*87.5*87.5/(100^2)=156.95
option c:200*75/100=150
option d:190*90*85/(100^2)=145.35
so option d is correct - 11 years agoHelpfull: Yes(28) No(0)
- a)10% of 195=19.5 so now price will be 195-19.5=175.5 and 5% of 175.5 will be 8.75 so now price will be 175.5-8.75=166.75.
in the same process we can calculate the rest option...
so b) will be 205-25.62(which is 12.5% of 205)=179.38 and 12.5% of 179.5 will be 22.15 so final price 179.5-22.15=157.35
c)25% of 200=50 so price will be 200-50=150
d)10% of 190=19 so 190-19=171 and 15% 171 will be 25.5 so final price will be 171-25.5=145.5..
so correct answer will be (d) - 11 years agoHelpfull: Yes(6) No(1)
- 185.25, 179.375 ,150 ,161.5 these are prices with deduct the disccount respectively
so ans is b - 11 years agoHelpfull: Yes(4) No(9)
- there is one formula to count successive discount that is :- P(1+r1/100)(1+r2/100). Here r1 and r2 are % of discount. after outting values in this formula we can get all values that are (a)100.40 (b)156.95 (c)150 (d)145.35. so here least price is 100.40 so answer is (A).
- 11 years agoHelpfull: Yes(3) No(5)
- Formulla for successive discount
P1=P[1-(d1/100)][1-(d2/100)][1-(d3/100)]......[1-(dn/100)]
where d1,d2,d3...dn are discount rates
a)Rs195[1-(10/100)][1-(5/100)][1-(5/100)]=Rs158.39
b)Rs200[1-(25/100)]=Rs150
c)Rs205[1-(12.5/100)][1-(12.5/100)]=Rs156.95
d)Rs190[1-(10/100)][1-(15/100)]=Rs145.35
Ans (d) Rs145.35 - 11 years agoHelpfull: Yes(1) No(0)
- (100-25)*200/100 = 150
which is min. - 11 years agoHelpfull: Yes(0) No(3)
- By calculating all the option..u wil get ans d..so d is right..
- 11 years agoHelpfull: Yes(0) No(1)
- the price through discounts given in d will be least !!!
- 11 years agoHelpfull: Yes(0) No(1)
- D is the right answer
- 11 years agoHelpfull: Yes(0) No(1)
- d)Rs190[1-(10/100)][1-(15/100)]=Rs145.35
- 5 years agoHelpfull: Yes(0) No(0)
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