Discount
- Two blends of a commodity costing Rs. 35 and Rs. 40 per kg. respectively are mixed in the ratio 2 : 3 by weight. If one–fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate of Rs. 55 per kg. the profit percent is
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Let 5 kg of mixture be prepared.
∴ C.P. of 5 kg of mixture
= Rs. (2 × 35 + 3 × 40)
= Rs. (70 + 120)
= Rs. 190
Total S.P. of this mixture
= Rs. (46 + 4 × 55)
= Rs. (46 + 220) = Rs. 266∴ Profit per cent = 
266 − 190 
× 100 190 = 7600 = 40% = 1 190 Correct Option: C
Let 5 kg of mixture be prepared.
∴ C.P. of 5 kg of mixture
= Rs. (2 × 35 + 3 × 40)
= Rs. (70 + 120)
= Rs. 190
Total S.P. of this mixture
= Rs. (46 + 4 × 55)
= Rs. (46 + 220) = Rs. 266∴ Profit per cent = 266 − 190 × 100 190 = 7600 = 40% = 1 190
- The total discount on Rs. 1860 due after a certain time at 5% is Rs. 60. Find the time after which it is due
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Required time
=60 × 100 = 2 year 1800 × 5 3 = 2 × 12 months = 8 months 3
Correct Option: B
Required time
=60 × 100 = 2 year 1800 × 5 3 = 2 × 12 months = 8 months 3
- State electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs. 54 as discount. The amount of actual bill was :
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Let the amount of actual bill be Rs. x.
According to the question,x × 15 = 54 100 ⇒ x = 54 × 100 = Rs. 360 15 Correct Option: C
Let the amount of actual bill be Rs. x.
According to the question,x × 15 = 54 100 ⇒ x = 54 × 100 = Rs. 360 15
- A house was sold for Rs. y by giving a discount of x%, then the list price was :
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Let the marked price of building be Rs. z.
∴ According to the question,
z × (100 – x)% = y⇒ z × 100 − x = y 100 ⇒ z = Rs. 100y 100 − x
Second Method :
S.P. = Rs. y, D = x %M.P. = SP × 100 100 − D M.P. = y × 100 100 − x Correct Option: A
Let the marked price of building be Rs. z.
∴ According to the question,
z × (100 – x)% = y⇒ z × 100 − x = y 100 ⇒ z = Rs. 100y 100 − x
Second Method :
S.P. = Rs. y, D = x %M.P. = SP × 100 100 − D M.P. = y × 100 100 − x
- A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000 ?
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Profit on outlay = Rs. 6000
According to the question,
25% of outlay = Rs. 6000∴ Outlay = 6000 × 100 = Rs. 24000 25
Again, if the advertised price be Rs. x, thenx × 80 = Rs. (24000 + 6000) 100 ⇒ x = 30000 × 100 = Rs. 37500 80 Correct Option: B
Profit on outlay = Rs. 6000
According to the question,
25% of outlay = Rs. 6000∴ Outlay = 6000 × 100 = Rs. 24000 25
Again, if the advertised price be Rs. x, thenx × 80 = Rs. (24000 + 6000) 100 ⇒ x = 30000 × 100 = Rs. 37500 80
