Assignment 1
Q.l (a) 14 Cows consume 63Kg of hay in 18 days how many Cows will cat 770Kg of hay in 28 days At the same rate ?
630kg + 18days = 35kg per day 35kg + 14cows — 2.5kg per cow per day
Then yon must find out how much hay must eaten per day.
770kg + 28days = 27.5kg per day
Then divide 27.5 by 2.5 to find the amount of cows needed.
27.5kg - 2.5 = 11 11 cows will eat 770kg of hay in 28 days
b- If a:b : 4:6 then
3a:b=12:6
Q.2 (a) Calculates Ushar on a maize crop Amounting to Rs resources?
Ushar = 5% of product price = 5% x 270,000
= 5x 2700= 13500
b- Calculate zakat on silver amounting to Rs 180,000
Zakat = 2.5 % of amount
= 2.5%x 180,000
= 2.5x1800
= 4500
Q.3 (a) Distribute the amount of profit among three persons whom ratio of their shares is 4:3:6 If a quantity K is divided into three parts in the ratio X : Y : Z, then
First part = X'(X + Y + Z) * K,
Second part = Y/(X + Y + Z) x K,
Third part = Z/(X + Y + Z) x K.
For example, suppose, we have to divide K among X, Y, Z in the ratio 4:3:6 This means that if X gets 4 portions, then Y will get 3 portions and Z will get 6 portions. Thus, total portions = 4 +3+6 = 13. So, we have to divide K into 13 portions and then distribute the portions among X, Y, Z according to their share.
Thus, X will get 4/13 of K
Y will get 3/13K
Z will get 6/13K
(b) A shopkeeper gains a profit of 15% by selling a waters set for Rs 1600/- If he sells it for Rs 1900/-. Find his profit percentage.
Profit = 15%
Selling Price = 1600
Actual Price = 1600-1600x15%
Let x be the actual price then :
x = 1600- 1600x15%
= 1600-240
= 1360
if selling price is 1900 then profit? = 54< 28%
Q.4 (a) Find the compound profit on Rs 48000/- at 5% for once year
Given Rate of interest is r=5%=0.005
Principal Amount is A=48,000
Tiiiie is t=l years
Interest is compounded yearly once =>n=l
Amount =P(1 + ^) n
= 48000(1 + ^-) 1
= 48240
Interest is A-P=4800-48240
= 240
(b) Aamir invests Rs 900/- At 3| % per annum profit compunded annually find the amount at the end of the third year.
Per annum profit = 900x 3.5% = 31.5
Amount at tire end of first year = 900+31.5 = 931.5
Amount at the end of Second year = 931.5+31.5 = 963
Amount at the end of third year = 963 +31.5 = 994.5
Q.5 (a) Aslam gets paid Rs 120/- per hour for his normal working to 10 hours Daily (5 Days A Week) The Rate of over time is 1.5 of Rs 120 per hour. If he works 30 hours as overtime then work out his montly pay
Daily working hour s =10
Weekly Working Hours = 6x10 = 60
Monthly Working hours = 4x60=240
Payment for normal work = 240x 120 = 28800
Overtime of 30 hours @ 1.5 x 120 per hour
Gross Monthly pay = 28800 + 5400 = Rs. 34, 200
(b) If the total annual income of a person is Rs 8,30,000/- with tax chargeable of amount of Rs
1200,000-then find of the chargable,@3.5
Chargeable income= total annual income - all the tax exemptions and tax reliefs
= 8,30,000^- 1,20,000 = 7,10,000
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