A boy purchases three itoms of consecutive prices. The number of purchased itoms are 1, 2 & 3. He pa

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16 Dec 2015 Price

A boy purchases three itoms of consecutive prices. The number of purchased itoms are 1, 2 & 3. He pays Rs 115 to shopkeeper. If all prices are taken in integers, then out of 10 choices, the price of that itom, whose 3 pieces are purchased, is

OPtion

1. 18
2. 20
3. 21
4. 22
5. 24
6. 17
7. 16
8. 26
9. 12
10.28

Solution

6 cases arise
1x + 2(x + 1) + 3(x + 2) = 115 => x ≠ integers
1x + 3(x + 1) + 2(x + 2) = 115 => x = 18
2x + 1(x + 1) + 3(x + 2) = 115 => x = 18
2x + 3(x + 1) + 1(x + 2) = 115 => x ≠integer
3x + 1(x + 1) + 2(x + 2) = 115 => x ≠ integer
3x + 2(x + 1) + 1(x + 2) = 115 => x ≠ integer
Since x = 18, hence solutions are 19 & 20 according to 2nd and 3rd conditions given above,
Out of 10 choices, 20 is correct
Option 2)

Correct Option: 2 Best Solution (16)

anjali gupta   9 years AGO

let three items cost x-1,x,x+1
2(x-1)+1x+3(x+1)=115
2x-2+x+3x+3=115
6x+1=115
x=19
the price of item whose 3 pieces were taken = x+1=20

Like? Yes (6) | No   

Surabhi Yadav   9 years AGO

By trial and error method
1 piece item = 18/-
2 piece item = 19/-=2*19=38/-
3 piece item =20/-=3*20=60/-
Total = 18+38+60=116/-

Like? Yes (2) | No   

pooja   9 years AGO

x+2(x+1)+3(x+2)=115
x=17.833
therefore approximately rs.20

Like? Yes (2) | No   

Ritesh kumar   9 years AGO

x+2(x+1)+3(x+2)=115...eq(1)
solving this eq x=18(approx)
then x+2
20answer

Like? Yes (2) | No   

meraj alam   9 years AGO

3*20=60
2*19=38
1*17=17
total=115

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Venkateswarlu   9 years AGO

x+2(x+1)+3(x+2)=115 ==> x+2x+2+3x+6=115;
6x+8=115 ==> x=107/6 ==> x=17.833 ~= 18;
then price of item which three pieces are taken =20;

Like? Yes (1) | No   

vamsi krishna   9 years AGO

18*2+19*1+20*3= 36+19+60=115
so the price of that object, whose 3 pieces are purchased, is Rs 20.

Like? Yes (1) | No   

NIKHIL JAIN   9 years AGO

x+ 2(x+1)+ 3(x+2)=115
on solving x=18
there fore the value of item with 3 sold= 20

Like? Yes (1) | No   

umend   9 years AGO

Price of goods are p,p+1,p+2
Number of purchased items are respectively 1,2 and 3
p+2(p+1)+3(p+2)=115
=17.833
p+2=19.833=20(integer value)

Like? Yes (1) | No   

bobby   9 years AGO

20*3=60
18*2=36
19*1=19
60+36+19=115

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rohit sharma   9 years AGO

let price of items be x,x+1,x+2.
1(x)+2(x+1)+3(x+2)=115
x~18
therefroe price of itme whose 3 quantity purchased is 20

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Jaikumar Bhatia   9 years AGO

Item Nos*Rate=Amount
2*18=36
1*19=19
3*20=60
----
Total 115
-----
18,19,20 are consecutive integer prices
ans is 20
option is (2)

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Devendra Marghade   9 years AGO

Rs. 18*2=36
Rs. 19*1=19
Rs. 20*3=60
--------------------
Total=Rs.115

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anumesh yerigeri   9 years AGO

price is x,x+1,x+2
2x+x+1+3(x+2)=115
6x+7=115
6x=108
x=18
3items rate is 20

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vijaya kumar M   9 years AGO

Consider the cost of third item to be 20 there are 3 pieces purchased so total cost wil be 60 given cost of all three items are consecutive so cost of 1st and 2nd items will b 18 and 19 respectively totally he pays 115 and given that the no of items are 1,2&3 so 18+2(19)+3(20) which is equal to 115

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vishva shikha   9 years AGO

x+(x+1)+(x+1)+(x+2)+(x+2)+(x+2)=115
6x+8=115
6x=115-8
6x=107
x=107/6
x=17.8=18(approx)
x+2=20

Like? Yes (1) | No