The marked price of an electronic watch in a store is ₹15,620 and it is available at a discount of 27%. What is the price (in ₹, to the nearest tens) that a customer pays if he buys from the store?
- (a)11,400
- (b)9,880
- (c)12,500
- (d)10,800
Answer
Why
Correct — A. A discount of 27% leaves 73% of the marked price to be paid.
price paid = 15,620 × 73⁄100
15,620 × 73 = 11,40,260
so the price paid = ₹11,402.60
To the nearest tens the units digit 2 rounds down:
₹11,402.60 → ₹11,400 → option (a)
Why the others are wrong
- (b)9,880 — ₹9,880 implies a discount of about 37% — 1 − 9,880⁄15,620 is roughly 0.367. The stem gives 27%.
- (c)12,500 — ₹12,500 is what a 20% discount produces: 15,620 × 0.80 = ₹12,496, which is ₹12,500 to the nearest tens.
- (d)10,800 — ₹10,800 implies a discount of nearly 31%, since 1 − 10,800⁄15,620 is about 0.309. Four points too much wipes out ₹600.
Concept
Discount is always reckoned on the marked price, so the price paid is MP × (100 − d)⁄100.
Working with 73% in one multiplication beats finding the discount and subtracting it: one step, one chance to slip.
The rounding instruction is part of the question. ₹11,402.60 to the nearest tens is ₹11,400, because the tens place moves only when the units digit is 5 or more.
The options are far apart, so even a rough 15,620 − 4,200 puts you at about ₹11,400 and settles the choice without the exact multiplication.
Key facts
- Price paid = marked price × (100 − discount%)⁄100.
- 15,620 × 73⁄100 = ₹11,402.60.
- ₹11,402.60 to the nearest tens is ₹11,400, since the units digit is 2.
Study next
Common traps
- Answering ₹4,217.40, the discount itself, instead of the amount paid.
- Rounding ₹11,402.60 up to ₹11,410 because of the paise.
- Treating 27% as the share paid rather than the share taken off.
A single discount on a marked price is the plain form. SSC also chains two of them, which is a different calculation — the second discount is taken on what is left after the first, so 20% then 5% is not 25%.
See 17 Sep 2024, 16:00, Quant Q.23 (₹18,500 at 20% then 5%) and 23 Sep 2024, 12:30, Quant Q.11 (₹500 at 10% then 5%).
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