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78.  (c)  Let the number be = x                       82.  (d)  Let largest no. = x
                                                                       \    x + 10 = 3 (x – 10)
                       (x +  10) ´  7  88
                 \               – 5  =                                     10 + 30 = 3x – x
                           5           2                                    40 = 2x
                      7x + 70 – 25 = 220                                    x = 20
                      7x = 220 – 55                                    \    other number = 20
                      7x = 175                                83.  (b)  Let P = ` x
                      x =  25                                              x ´  10 10
                                                                                ´
                 \    Number is 25.                                    SI =   100   =  x
        79.  (d)  Let average of all persons = x                       A = P + SI
                 \    (13 × 79) + 6(x + 4) = 19 × x                    22500 = x + x
                      13 × 79 + 6x + 24 = 19x                          2x = 22500
                      13 × 79 + 24 = 13x                               x = 11250
                                                                       \    He took 11,250 as a lone.
                         13 ´  79 +  24                       84.  (c)  Let P = x
                      x =           =  80.25
                              13                                       A = 3x
                 Total money spent = 1536                              SI = 2x
        80.  (b)  Let first complete the job in = x minutes            T = 8 years
                 Second complete the job in = y minutes                   2x ´  100  25
                                                                       R =          =  25%
                       1  1   1                                             x ´  8
                 \       +  =                           ...(1)                   4
                       x   y  6
                                                                                      5
                                                                                x ´  25 ´  20
                     4   6     1  4                                                       =  5x
                 and   +  =  1 -  =                     ...(2)         Now SI =
                     x   y     5  5                                                100
                                                                                    5
                 By (1) and (2)                                             A = 5x + x = 6x
                      x = 10, y = 15                                   \    In 6 years is becomes 6 times
                 Hence slower typist complete the jobs in 15 minutes.
        81.  (a)  Let 25 paise coins = x                      85.  (b)  69 ´  69 ´  69 – 65 ´  65 ´  65
                                                                                  ´
                 1 ` : 50 P : 25 P                                     69 ´  69 +  69 65 +  65 ´  65
                 3x : 220 – 4x : x Ratio in number of coins                    a -  3  b 3
                     220 – 4x x                                        Using   2      2  =  a  – b
                 3x :        :   Ratio in amount                            a +  ab +  b
                        2     4
                                                                       \    69 – 65 = 4
                                   x
                 \    3x + 110 – 2x +   = 160
                                   4                          90.  (d)              J           S

                                  x
                      x + 110 – 2x +   = 160
                                  4                                                                      JS
                              x
                      x + 110 +    = 160
                              4                               91.  (c)
                      4x + 440 + x = 640                                                D D      M
                      5x = 200                                                                           DM
                      x = 40                                  95.  (b) In this figure shaded regios covers all the three circles
                 \ 50 paise coins = 220 – 40yx = 220 – 160 = 60       and in rest figures only two circles.
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