| AFTER HOW MANY MINUTES AFTER 'X' HRS WILL HOUR HAND AND MINUTE HAND COINCIDE. | ||||||||
| X HRS | ANGLE | T MINS | MIN | SECONDS | ||||
| 1 | 30 | 5.454545 | 5 | 0.454545 | 27.273 | |||
| 2 | 60 | 10.90909 | 10 | 0.909091 | 54.545 | |||
| 3 | 90 | 16.36364 | 16 | 0.363636 | 21.818 | |||
| 4 | 120 | 21.81818 | 21 | 0.818182 | 49.091 | |||
| 5 | 150 | 27.27273 | 27 | 0.272727 | 16.364 | |||
| 6 | 180 | 32.72727 | 32 | 0.727273 | 43.636 | |||
| 7 | 210 | 38.18182 | 38 | 0.181818 | 10.909 | |||
| 8 | 240 | 43.63636 | 43 | 0.636364 | 38.182 | |||
| 9 | 270 | 49.09091 | 49 | 0.090909 | 5.4545 | 3 | ||
| 10 | 300 | 54.54545 | 54 | 0.545455 | 32.727 | |||
| 11 | 330 | 60 | 60 | 0 | 0 | |||
| 12 | 360 | 65.45455 | 65 | 0.454545 | 27.273 | 65 MINS i.e. AFTER 1 O' CLOCK | ||
| HOUR HAND'S SPEED = 30 DEG PER 60 MINS = 1/2 DEG PER MIN | ||||||||
| MINUTE HAND'S SPEED = 360 DEG PER 60 MINS = 6 DEG PER MIN | ||||||||
| TIME IN WATCH AFTER 5 O'CLOCK WHEN HOUR HAND & MINUTE HAND COINCIDE IS WHEN | ||||||||
| LET IT HAPPEN AFTER 'T' MINS AFTER 5 O' CLOCK | ||||||||
| HOUR HAND HAS TRAVELLED [(30X5) + T/2] | ||||||||
| MINUTE HAND HAS TRAVELLED (5X360 + 6T) | ||||||||
| WE CAN IGNORE '5X360' SINCE AFTER 5 ROTATIONS OF MINUTE HAND IT'S POSITION WILL REMAIN SAME; SO WE HAVE TO CONSIDER | ||||||||
| ONLY '6T' PART | ||||||||
| 150+T/2=6T | ||||||||
| So, 150=5.5T | ||||||||
| Therefore T= 150/5.5 MINS | ||||||||
Tuesday, 22 November 2011
In clock at what time hour & minute hand coincide ?
Profit & Loss
PROFIT AND LOSS
P= PROFIT
L= LOSS
S / S.P. = SALE PRICE
C / C.P. = COST PRICE
X = % (PERCENTAGE) OF PROFIT OR LOSS
S = P + C i.e. P = S – C or S = C + P
S = C – L i.e. L = C – S or S = C - L
S = (100+X) /100 x C
OR
S.P. = (100+X) /100 x C.P.
IN CASE OF DEALS YIELDING PROFIT, X IS POSITIVE (+).
I.E. X +VE ßà PROFIT
IN CASE OF TRANSACTIONS GIVING RISE TO LOSS; X IS NEGATIVE (-)
I.E. X (-) VE ßà LOSS
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