+4 In estimating the cost of a pile of bricks measured as 2m*15m*1.2m, the tape is stretched 1% beyond the standard length.If the count is 450 bricks to 1 cu. m. and bricks cost Rs 530 per 1000,find the approximate error in the cost.
The volume of the pile of bricks with 1% error in the tape measure is:
2 x 15 x 1.2 =36 cubic m.
36 x 450 =16,200 Bricks in the pile.
16,200 / 1,000 x 530 =8,586 Rs - Cost of all bricks with 1% error. But, we have:
8,586 / (1.01^3) = ~8,334 Rs - The true cost of the bricks. Therefore:
8,586 / 8,334 =1.03031 - 1 =3.03% The error rate as a percentage.
8,586 - 8,334 =252 Rs - Error amount in price of bricks.
