171. Let
the fraction be a/b = 512 /27
a / b x a/b x a/b =512 /27
(a/b)
³
= (8/3)³ a/b = 8/3 = 2 2/c.
172. Maximum
internal assessment score = (47 / 50 x 10) = 9. 4.
Minimum internal assessment score = (14/50 x
10) =2.8.
Required
difference = (9.4 – 2.8) = 6.6.
173. Let
savings in N.S.C and P.P.F. . be Rs. x and Rs. (150000 – x ) respectively. Then,
1/3 X = 1/2 (15000000 –X) x/3 + X/2 =
75000 5x/6 = 75000 X = (75000 x 6/5) = 90000.
Savings in public provident fund = Rs. (150000
– 90000) = Rs. 60000.
174. Let
there be (X + 1) members. The,
Father’s
share =1/4, share of each other members = 3/4X.
3
(3/4X) = ¼ 4X = 36 X = 9.
175. Let
salary =Rs. X. then, tips = Rs. (5/4 X).
Total income = Rs. (x + 5/4 X) =
Rs. (9X / 4).
Required fraction = (5X / 4 x 4 / 9X ) = 5/9.
176. Let
C’s share = Rs. X. then, B’s share = Rs. (x/4), A’s share = Rs. (2/3 x x/4)
=Rs. X/6.
