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Arun Kumar Harode

· started a discussion

· 1 Months ago

alternate answer required (Question: 198532.0 )

can any one elaborate more.....may be some other method...

Question:
A sells a pen to B at a gain of 20% and B sells it to C at gain of 10% and C sells it to D at a gain of 12.5%. If D pays Rs.14.85, what did it cost A?
Options:
A) Rs.6
B) Rs.8
C) Rs.10
D) Rs.12
Solution:

\(\cfrac{120}{100 }\) × \(\cfrac{110}{100 }\) × \(\cfrac{112.5}{100 }\) × x = 14.85

x = \(\cfrac{14.85 × 100 × 100 × 100}{120 × 110 × 112.5}\)       = Rs. 10/-


Knowledge Expert

· commented

· 1 Months ago

Let suppose initial price be xrs
when a to b=x+x/5=6x/5 {20%=1/5}
when b to c=6x/5+6x/5*1/10=6x/5*(11/10) {10%=1/10}
when c to d=6x/5*(11/10)*(1/8)+6x/5*(11/10) {12.5%=1/8}........(1)
Now, equating equation(1) to the amount payed by D i.e. Rs 14.85
We, can easily calculate the value of "X"
Which, i suppose the amount payed by A.
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