Q.52.
Q.53.
9
On purchase of 3 dozen of apples 4 apples are
given absolutely free. Find the equivalent discount
percentage.
(A) 12.5% (B) 10% (C) 15% (D) 20%
Find the ratio of area formed by line 3x + 4y = -2
with axes to area formed by line 4x-3y = 4 with
axes.
(A) 4:1 (B)1:4 (C) 2:3 (D) 3:2
After driving for 3 h 30 min from home Rishi
Increased his speed by 20% and thus reached his
destination 1.5 hr. before. If he would have
increased his speed after travelling further 90 km.,
he would have reaches his destination 1 hr before.
Find the distance of destination from his home.
(A) 270 km
(B) 300 km
Q.54.
Answers
10% equivalent discount , Ratio of area = 1:4
Step-by-step explanation:
On purchase of 3 dozen of apples 4 apples are given absolutely free
let say cost price of one apple = C
on purchase of 3 dozen = 36 apples
4 apple free
total apples = 40
cost of 40 apples = 40C
paid = 36C
saving = 4C
discount = (4C/40C)×100 = 10%
10% equivalent discount
area line 3x + 4y = -2
= (1/2)(2/3)(2/4) = 1/6
area line 4x - 3y = 4
= (1/2)(4/4)(4/3) = 4/6
the ratio of area formed= 1:4
saved 0.5 hr in 90 km by increasing 20% speed
90/ x - 90/1.2x = 0.5
15/x= 0.5
x= 30
speed = 30 km/hr
distance covered in 3hr30 mins = 30×3.5 = 105 km
1.5 hr will be save in 270 km
total distance = 270+105 = 385 km
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