self Maths Puzzle

a sALESMAN ENTERS THE QUANTITY SOLD nd price into the computer.both the number are two digit numbers.but by mistake both the numbers are entered with there digits interchanged .Due to this mistake ,the total sales value remained the same.i.e. Rs 806 , But the inventory reduced by 36 .
1)what was the actual price per piece ?
2)what was the actual quantity sold?

Read Solution (Total 2)

ans 1: 13
ans 2: 62
10 years agoHelpfull: Yes(0) No(0)

(10x + y)(10a + b) = 1148 = (10y+x)(10b+a)
=> 99(ax -- by) = 0
=> ax = by where a, b, x, y all are < 10.
from given answers we get ax = by in the pair 14, 82 we have
14x82 = 1148 = 41x28 so
price is 14, number sold is 82
when reversed digits
price is 41 and number sold is 28 which is
82 -- 28 = 54 less.
10 years agoHelpfull: Yes(0) No(0)

self Other Question

abhishek purchased 140 shirts and 250 trousers at the rate of rs.450 and rs.550 respectively.what should be the overall average selling price of shirts and trousers so that 40% profit earned?(Round off to next integer) 1)725 2)710 3)720 4)700 5)none of these n a academy of 80 members, each member plays at least one of the two games viz. tennis and cricket. The number of members who play tennis are 50. The number of members who play cricket are also 50. None of the members who plays only tennis knows French. Members who know French and play both these games are 3/7th of the number of members who play only cricket and know French. What is the minimum possible number of members who play both tennis and cricket but do not know French?

A. 6
B. 4
C. 2
D. 8
E. 5