A grocery shop is offering 10% discount on the purchase of Rs.500 and above. A 5% discount is given on the purchase of value above Rs.250 but below Rs.500. A discount of additional 1% is given if payment is made instantly in cash. How much would a customer have to pay by cash if he buys 25 packets of biscuits and one packet is priced at Rs.30?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. Rs.670.25
  2. Rs.668.25
  3. Rs.675
  4. Rs.667.05

Answer (Detailed Solution Below)

Option 2 : Rs.668.25
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Detailed Solution

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Given:

A grocery shop is offering a 10% discount on the purchase of Rs.500 and above. A 5% discount is given on the purchase of value above Rs.250 but below Rs.500. A discount of an additional 1% is given if payment is made instantly in cash. 

He bought 25 packets of biscuits and one packet is priced at Rs.30.

Concept used:

1. Final discount percentage after two successive discounts of A% and B% = \((A + B - {AB \over 100})\%\)

2. Selling price = Marked Price × (1 - Discount%)

Calculation:

Total billed price = 25 × 30 = Rs. 750

Since he paid in cash, he would get two consecutive discounts of 10% and 1%.

So, final discounts = 10 + 1 - (10 × 1)/100 = 10.9%

Now, he would have to pay = 750 × (1 - 10.9%) = Rs. 668.25

∴ He would have to pay Rs. 668.25.

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