Ramesh purchased some items from a dealer on 19 November 2019. The bill generated was for ₹5,480. He had also purchased some items on 10 November 2019 having the bill value of ₹9,800. He cleared both the bills this time and paid the total amount in cash. If the dealer gives a scheme of 2% discount on the payments done within 10 days and 5% for the payments made in cash at the time of purchase, then find the amount paid by Ramesh on 19 November 2019.
- (a)

- (b)

- (c)

- (d)

Answer
Why
Correct — C. The four choices are printed as images, and they read ₹14,850, ₹14,950, ₹14,810 and ₹14,890 in order.
Test each bill against each scheme separately.
The 19 November bill of ₹5,480 is paid in cash on the day of purchase, so it earns the 5%:
5,480 × 0.95 = ₹5,206
The 10 November bill of ₹9,800 is settled on 19 November, 9 days later — inside the ten-day window but not at the time of purchase, so it earns the 2%:
9,800 × 0.98 = ₹9,604
Total handed over = 5,206 + 9,604 = ₹14,810 → option (c).
Why the others are wrong
- (a)₹14,850 implies ₹430 off the ₹15,280 billed. Keeping the 5% (₹274) on the newer bill leaves only ₹156 for the older one, which is 1.59% of ₹9,800, short of the 2% it qualifies for.
- (b)₹14,950 implies just ₹330 off ₹15,280. After the 5% (₹274) on the newer bill that leaves ₹56 for the older one, or 0.57% of ₹9,800, well under the 2% on offer.
- (d)₹14,890 implies ₹390 off ₹15,280. The 2% on the older bill is fixed at ₹196, so the newer bill would have to lose ₹194, which is 3.54% of ₹5,480 — a rate neither scheme grants.
Concept
This is a trade-discount question dressed as a calendar puzzle. Each bill is tested against each scheme on its own, and each takes the scheme it genuinely satisfies.
The 19 November items are bought and paid for in the same visit, which is exactly "in cash at the time of purchase" — 5%.
The 10 November items are paid nine days after billing, which meets "within 10 days" but not "at the time of purchase" — 2%. Two independent reductions, then one sum.
Both bills are cleared in cash, so paying cash is not by itself what decides the rate. The 5% scheme additionally requires the payment to happen at the moment of purchase, and just the 19 November bill meets that.
Key facts
- 10 November to 19 November is 9 days, which falls inside the "within 10 days" window.
- 5% of ₹5,480 is ₹274, leaving ₹5,206 payable.
- 2% of ₹9,800 is ₹196, leaving ₹9,604 payable.
- ₹5,206 + ₹9,604 = ₹14,810, against ₹15,280 before any discount.
Study next
Common traps
- Applying one rate to the combined ₹15,280 instead of testing the two bills separately.
- Giving the older bill the 5% because it too was settled in cash.
- Counting 10 to 19 November as ten days and pushing the older bill outside the window.
SSC sets discounts both as a chain on one marked price and, as here, as two bills each qualifying for a different scheme.
A cash-payment discount stacked on a trade discount appears at 26 Sep 2024, 16:00, Quant Q.21, and successive discounts on a single marked price at 10 Sep 2024, 09:00, Quant Q.7.
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