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प्रश्न
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 |
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उत्तर
| Column I | Column II |
| (i) 3:5 | (E) 60% |
| (ii) 2.5 | (H) 250% |
| (iii) 100% | (O) 3 : 3 |
| (iv) `2/3` | (J) `66 2/3%` |
| (v) `6 1/4%` | (G) `1/16` |
| (vi) 12.5% | (L) 0.125 |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (B) ₹ 47 |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (A) ₹ 54 |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (F) 25% |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (K) 20% |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(D) ₹ 160 |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(I) ₹ 159 |
Explanation:
(i) 3 : 5 i.e. `3/5 = 3/5 xx 100/100 = 300/5% = 60%`
(ii) `2.5 = 25/10 xx 100/100 = 2500/10% = 250%`
(iii) `100% = 100/100 = 1 = 1 xx 3/3 = 3/3` i.e. 3:3
(iv) `2/3 = 2/3 xx 100/100 = 200/3% = 66 2/3%`
(v) `6 1/4% = 25/4% = 25/4 xx 1/100 = 1/16`
(vi) `12.5% = 12.5/100 = 0.125`
(vii) C.P. = ₹ 50, Loss = 6%
∴ S.P. = `((100 - 6)/100) xx 50`
= `(94 xx 50)/100`
= ₹ 47
(viii) C.P. = ₹ 50, profit = ₹ 4
∴ S.P. = ₹ (50 + 4) = ₹ 54
(ix) C.P. = ₹ 40, S.P. = ₹ 50
∴ Profit% = `((50 - 40)/40) xx 100`
= `10/40 xx 100`
= 25%
(x) C.P. = ₹ 50, S.P. = ₹ 60
∴ Profit % = `((60 - 50)/40) xx 100`
= `10/50 xx 100`
= 20%
(xi) Principal = ₹ 800,
Rate = 10% p.a.,
Time = 2 years
∴ Interest = `(P xx R xx T)/100`
= `(800 xx 10 xx 2)/100`
= ₹ 160
(xii) Principal = ₹ 150,
Rate = 6% p.a.,
Time = 1 year
Interest = `(150 xx 6 xx 1)/100` = ₹ 9
∴ Amount = ₹ (150 + 9) = ₹ 159
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