Rahna decided to buy a scooty that costs ₹40,000. The shopkeeper agreed to sell the scooty under the condition of ₹25,000 cash down payment of ₹4,000 each month for four months. Find the rate of interest at which the shopkeeper sold the scooty under the instalment scheme.

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 04 Jul, 2024 Shift 3)
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  1. \(18\frac{1}{2}\)%
  2. 33%
  3. \(16\frac{1}{2}\)%
  4. \(10\frac{1}{3}\)%

Answer (Detailed Solution Below)

Option 2 : 33%
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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100 Questions 200 Marks 60 Mins

Detailed Solution

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Given:

Cash price = 40000

Cash down payment = 25000

Amount paid in monthly installment = 4000 × 4 = 16000

Calculations:

Interest charged = (25000 + 16000) – 40000 = 1000 rupees

Now, principal for first month = 40000 – 25000 = 15000

Principal for second month = 15000 – 4000 = 11000

Principal for third month = 11000 – 4000 = 7000

Principal for fourth month = 7000 – 4000 = 3000

Total principal = 15000 + 11000 + 7000 + 3000 = 36000 rupees

∴ Rate of interest on 36000 rupees = 1000 × 12 × (100 / 36000) = 100/3 = 33.33%

∴ The correct answer is option (2).

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