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प्रश्न
By selling a speaker for ₹ 768, a man loses 20%. In order to gain 20%, how much should he sell the speaker?
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उत्तर
Selling price (S.P) of speaker = ₹ 768
Loss % = 20%
as per formula
S.P = `"C.P" xx ((10 - "loss"%))/100`
∴ 768 = `"C.P" xx ((100 - 20)/100)`
∴ C.P = `(768 xx 100)/80` = 960
For gain of 20%, we should now calculate the selling price
∴ S.P = `"C.P" xx ((100 + "gain"%)/100)`
= `960((100 + 20)/100)`
= `960 xx 120/100`
= 96 × 12
= ₹ 1152
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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 |
