A laptop is priced at ₹40,000. A customer gets a discount of ₹4,000 on it. After the discount, the customer buys a mouse for ₹1,500 at a 20% discount. What is the total amount the customer spends on both items?
- (a)₹35,500
- (b)₹36,500
- (c)₹37,200
- (d)₹38,600
Answer
Why
Correct — C.
Laptop after the flat discount: 40,000 − 4,000 = ₹36,000
Mouse discount: 20% of 1,500 = ₹300
Mouse price paid: 1,500 − 300 = ₹1,200
Add the two items: 36,000 + 1,200 = ₹37,200 → option (c)
Why the others are wrong
- (a)₹35,500 — ₹35,500 is less than the laptop alone, which costs ₹36,000 after its discount. A total for both items cannot be smaller than one of them.
- (b)₹36,500 — ₹36,500 leaves only ₹500 for the mouse. A 20% discount on ₹1,500 leaves ₹1,200, not ₹500.
- (d)₹38,600 — ₹38,600 leaves ₹2,600 for the mouse, more than its full ₹1,500 price. Even with no mouse discount at all, the total would be only ₹37,500.
Concept
A flat discount is a rupee amount taken off the price. A percentage discount is a share of the price. Apply each item's own discount, then add.
For the mouse, 20% off means paying 80%: 0.8 × 1,500 = 1,200. The laptop's ₹4,000 happens to be 10% of ₹40,000, but you do not need that: subtract it directly.
The stem says the mouse is bought for ₹1,500 at a 20% discount. The key reads ₹1,500 as the price before the discount. If ₹1,500 were the amount paid, the total would be ₹37,500, which is not among the options.
Key facts
- Price after a d% discount = (100 − d)% of the price
- A flat discount is subtracted as a rupee amount
- Here the laptop costs ₹36,000 and the mouse ₹1,200, a total of ₹37,200
Study next
Common traps
- Adding the mouse at its full ₹1,500 and forgetting its 20% discount
- Applying the 20% to the whole bill instead of to the mouse alone
11 Sep 2024, 16:00, Quant Q.5 also prices items one by one: three fans at 6%, 10% and 12% off cost ₹6,800 in all, keyed ₹2,500 as each fan's marked price.
26 Sep 2024, 12:30, Quant Q.4 is the single-item version: ₹15,620 at 27% off, keyed ₹11,400 to the nearest tens.
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