Discount
 A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg more for ₹ 800. The original price of rice (per kg) is

 ₹ 14
 ₹ 16
 ₹ 12
 ₹ 15

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Let original price of rice = x /kg
New price = 4x per kg 5 ∴ 800 − 800 = 12.5 4x/5 x ⇒ 800 5 − 1 = 12.5 4x x ⇒ 800 5 − 4 = 12.5 4x ⇒ 800 = 12.5 4x ⇒ x = 200 = ₹ 16/kg 12.5 Correct Option: B
Let original price of rice = x /kg
New price = 4x per kg 5 ∴ 800 − 800 = 12.5 4x/5 x ⇒ 800 5 − 1 = 12.5 4x x ⇒ 800 5 − 4 = 12.5 4x ⇒ 800 = 12.5 4x ⇒ x = 200 = ₹ 16/kg 12.5
 A mobile phone is listed at ₹ 1,500 and a discount of 10% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to ₹ 1,242?

 10%
 8%
 12%
 18%

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Price after discount of 10%
=1500 × 90 = ₹ 1350 100
Second discount
= 1350 – 1242 = ₹ 108
If the rate of second discount be x% then,1350 × x = 108 100 ⇒ x = 108 × 100 = 8% 1350 Correct Option: B
Price after discount of 10%
=1500 × 90 = ₹ 1350 100
Second discount
= 1350 – 1242 = ₹ 108
If the rate of second discount be x% then,1350 × x = 108 100 ⇒ x = 108 × 100 = 8% 1350
 The interest on a certain sum of money is ₹ 22 and the true discount on the same sum for the same time and at the same rate is ₹ 20, Find the sum.

 ₹ 220
 ₹ 200
 ₹ 210
 ₹ 212

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Sum = S.I. × True discount S.I. − True discount = 22 × 20 = ₹ 220 22 − 20 Correct Option: A
Sum = S.I. × True discount S.I. − True discount = 22 × 20 = ₹ 220 22 − 20
 A shop offers 10% discount on every purchase of an article. It also offers an additional discount of 12%, if the payment is made in cash. If the original price of an item is ₹ 250, how much a customer will pay, if he wants to pay the price in cash?

 ₹ 180
 ₹ 192
 ₹ 198
 ₹ 195

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Required S.P. = 250 × 90 × 88 = ₹ 198 100 100 Correct Option: C
Required S.P. = 250 × 90 × 88 = ₹ 198 100 100
 The cost of manufacture of a tape recorder is ₹ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is

 12%
 8%
 20%
 10%

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Marked price of tape recorder = 1500 × 120 = ₹ 1800 100 Gain = 1500 × 8 = ₹ 120 100
Discount = 1800 – (1500 + 120) = ₹ 180
Let Discount percent = d%, then1800 × d = 180 ⇒ d = 10% 100
Second Method to solve this question :
If the discount be y%, then20 − y − 20y = 8 100 ⇒ 20 − 6y = 8 5
Correct Option: D
Marked price of tape recorder = 1500 × 120 = ₹ 1800 100 Gain = 1500 × 8 = ₹ 120 100
Discount = 1800 – (1500 + 120) = ₹ 180
Let Discount percent = d%, then1800 × d = 180 ⇒ d = 10% 100
Second Method to solve this question :
If the discount be y%, then20 − y − 20y = 8 100 ⇒ 20 − 6y = 8 5 ⇒ 6y = 20 − 8 = 12 5 ⇒ y = 12 × 5 = 10% 6