MAT (Stage-1) Mock Test - 44

Ratio of expenditure of A, B and C = 16 : 12 : 9
Ratio of savings of A, B and C = 20%, 25%, 40%
Ratio of income = A = 16 × 100/80 = 20
B = 12 × 100/75 = 16
C = 9 × 100/60 = 15
A : B : C = 20 : 16 : 15
Total income = Rs. 1530
So B's income = 1530 × 16/51 = Rs. 480

Total cost = 550 × 20 = Rs. 11,000
Let average cost of gum boots be Rs. x.
Average cost of slippers = Rs. (x + 10)
Average cost of sandals = Rs. (x + 35)
According to the given condition,
3(x + 35) + 5(x + 10) + 12x = 11,000
20x = 10,845
x = 542.25
Hence, average cost of sandals = 542.25 + 35 = Rs. 577.25

Total cost = 28,000 × 20 = Rs. 5,60,000
Let average cost of laptops be Rs. x.
Average cost of fridges = Rs. (x + 500)
Average cost of TVs = Rs. (x + 1500)
According to the given condition,
5(x + 1500) + 11(x + 500) + 4x = 5,60,000
20x = 5,47,000
x = Rs. 27,350
Hence, average cost of TVs = 27,350 + 1500 = Rs. 28,850

Total cost price of the ceiling fan = Rs. (1500 + 50) = Rs. 1550
Selling price = Rs. 2000
Profit % = [(2000 - 1550)/1550] × 100
Profit % = 0.2903 × 100 = 29.03%

Amount to be paid after three years = 2000(1.1)³ = Rs. 2662
Let the annual instalment be Rs. x.
x(1.1)² + 1.1x + x = Rs. 2662
1.21x + 1.10x + x = Rs. 2662
⇒ x = Rs. 2662/3.31
⇒ x = Rs. 804 (approx.)

The new letter sequence is EDRPSEISNO.
The seventh letter from the right is P.