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81. Find the difference of amount if 40% discount is given on Rs. 500 and two consecutive discounts 30% and 10% are given on the same amount.
Two consecutive discount on 500:
500 == 30% down ⇒ 350 == 10% down ⇒ 315
Total discount = 150 + 35 = 185
So, difference = 200 - 185 = Rs. 15
Solution:
40% discount on 500 = 200Two consecutive discount on 500:
500 == 30% down ⇒ 350 == 10% down ⇒ 315
Total discount = 150 + 35 = 185
So, difference = 200 - 185 = Rs. 15
82. A trader marks his goods 40% above cost price and allows a discount of 25%. The profit he makes is:
Then, the Marked Price = 40% of 100 + 100 = 140
SP = 140 - 25% of 140 = 105
%Profit =
Net Graphic Change Method:
100 == 40% UP ⇒ 140 == 25% discount ⇒ 105So, % Profit = 5%
Solution:
Let original CP = Rs. 100Then, the Marked Price = 40% of 100 + 100 = 140
SP = 140 - 25% of 140 = 105
%Profit =
Net Graphic Change Method:
100 == 40% UP ⇒ 140 == 25% discount ⇒ 105So, % Profit = 5%
83. With a 5% discount on the cost of sugar a buyer could purchase 2 kg more sugar for Rs. 608. Selling Price of Sugar is:
Solution:
84. A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is:
On selling of 40% of the oranges he realizes his cost price i.e.He sells 40 oranges for Rs. 100
Profit on 40 Oranges = 100 - 40 = Rs. 60
% profit on 40 oranges = = 150%
Now, he sells 80% of 60 oranges on half of the previous profit i.e. 48 oranges, he sells at 75% of profit
So, SP of 48 oranges = 48 + 75% of 48 = 84
12 was rotten so he threw away.
Total SP = 100 + 84 = Rs. 184
Profit = 184 - 100 = 84
%Profit = 84%
Solution:
Let fruit seller buys 100 oranges for Rs. 100On selling of 40% of the oranges he realizes his cost price i.e.He sells 40 oranges for Rs. 100
Profit on 40 Oranges = 100 - 40 = Rs. 60
% profit on 40 oranges = = 150%
Now, he sells 80% of 60 oranges on half of the previous profit i.e. 48 oranges, he sells at 75% of profit
So, SP of 48 oranges = 48 + 75% of 48 = 84
12 was rotten so he threw away.
Total SP = 100 + 84 = Rs. 184
Profit = 184 - 100 = 84
%Profit = 84%
85. The marked price of an item is twice the cost price, discount 20% of market price and profit is 10% of selling price. Find profit percentage to cost
MP = Rs. 200
Discount = 20%
Profit = Rs. 16
SP = 200 - 20% of 200 = 200 - 40 = Rs. 160
CP = SP - profit = 160 - 16 = Rs.144
% profit =
Solution:
Given,MP = Rs. 200
Discount = 20%
Profit = Rs. 16
SP = 200 - 20% of 200 = 200 - 40 = Rs. 160
CP = SP - profit = 160 - 16 = Rs.144
% profit =
86. The marked price of an item is twice the cost price. For a gain of 15%, the discount should be:
MP = Rs. 200
Gain = 15%
SP = 100 + 15% of 100 = Rs. 115
Discount = 200 - 115 = 85
% Discount = = 42.5%
Solution:
Let CP = Rs. 100MP = Rs. 200
Gain = 15%
SP = 100 + 15% of 100 = Rs. 115
Discount = 200 - 115 = 85
% Discount = = 42.5%
87. A man sold his watch at a loss of 5%. Had he sold it for Rs. 56.25 more, he would have gained 10%. What is the cost price of the watch (in Rs.)?
15% = Rs. 56.25.
So,
1% =
100% = = Rs. 375
Therefore, the cost price of the watch is Rs. 375
Solution:
He sold his watch at loss of 5%. If he sells his watch for Rs. 56.25 more, he would gain 10%. It means that15% = Rs. 56.25.
So,
1% =
100% = = Rs. 375
Therefore, the cost price of the watch is Rs. 375
88. A total profit of Rs. 3,600 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of C in the profit is:
Profit ratio,
A : B = 5 : 4
B : C = 8 : 9
As B is common in both ratio, we make B equal in both ratio by multiplying One B in another.
A : B = 5 : 4 × 8
B : C = 8 × 4 : 9
So, ratio of
A : B : C = 40 : 32 : 36 = 10 : 8 : 9
Now,
C shares in profit = = Rs. 1200
Solution:
A Total Profit = Rs. 3600Profit ratio,
A : B = 5 : 4
B : C = 8 : 9
As B is common in both ratio, we make B equal in both ratio by multiplying One B in another.
A : B = 5 : 4 × 8
B : C = 8 × 4 : 9
So, ratio of
A : B : C = 40 : 32 : 36 = 10 : 8 : 9
Now,
C shares in profit = = Rs. 1200
89. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart.
10% of loss in selling horse = 20% of gain in selling the cart.
Therefore, = (20 × 100) × Y
Or, X = 2y --------------(1)
5% of loss in selling horse is 10 more than the 5% gain in selling the cart.
Therefore,
=> 5X – 1000 = 5Y
Using equation (1),
=> 10Y – 1000 = 5Y
=> 5Y = 1000
=> Y =200
=> X = 400
CP of Horse = Rs. 400
CP of the Cart = Rs. 200
Solution:
Let X be the cost of horse and Y be the cost of the cart.10% of loss in selling horse = 20% of gain in selling the cart.
Therefore, = (20 × 100) × Y
Or, X = 2y --------------(1)
5% of loss in selling horse is 10 more than the 5% gain in selling the cart.
Therefore,
=> 5X – 1000 = 5Y
Using equation (1),
=> 10Y – 1000 = 5Y
=> 5Y = 1000
=> Y =200
=> X = 400
CP of Horse = Rs. 400
CP of the Cart = Rs. 200
90. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
S.P. of x articles = Rs. 20
Profit = Rs. (20 - x)
Solution:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. xS.P. of x articles = Rs. 20
Profit = Rs. (20 - x)