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Question
A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
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Solution
C.P. of a VCR = Rs 8000
The shopkeeper made a loss of 4 % on VCR.
This means if C.P. is Rs 100, then S.P. is Rs 96.
When C.P. is Rs 8000, S.P. = Rs `(96/100 xx 8000)` = Rs 7680
C.P. of a TV = Rs 8000
The shopkeeper made a profit of 8 % on TV.
This means that if C.P. is Rs 100, then S.P. is Rs 108.
When C.P. is Rs 8000, S.P. = Rs `(108/100 xx 8000)` = Rs 8640
Total S.P. = Rs 7680 + Rs 8640 = Rs 16320
Total C.P. = Rs 8000 + Rs 8000 = Rs 16000
Since total S.P.> total C.P., there was a profit.
Profit = Rs 16320 − Rs 16000 = Rs 320
Profit % = `"Profit"/"C.P"` x 100
= `320/16000 xx 100` = 2 %
Therefore, the shopkeeper had a gain of 2% on the whole transaction.
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5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is ______.
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3 : 2 | |
| (N) ₹ 164 | |
| (O) 3 : 3 |
